Post on 14-Apr-2018
7/30/2019 Non Calculator Tests Fourth Year Ppp
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Non Calculator Tests
Fourth Year
7/30/2019 Non Calculator Tests Fourth Year Ppp
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Non Calculator Tests
1 2 3 4 5 6
7 8 9 10 11 12
13 14 15 16 17 18
19 20 21 22 23 24
25 26 27 28 29 30
31 32 33 34 35 36
Click on a number in the table above to go to the test of your choice.
The solutions follow after the test
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Non Calculator – Test 1
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Question Solutions – Test 1
1 55
2 8¾
3 4½
4 1·8
5 10·08cm2
6 0·35
7 37.67
8 4
9 37·6
10 1¼
11 10√3
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1. Find 8% of £24
2. Evaluate ½ of ( 12¼ - 5¾)
3. If a = 5 , b = -3 and c = 4 find the value of b2 – 4ac
4. Evaluate 2.9 + 3.1 2
5. Factorise 9x2 – 256. Solve 5(2x-1) = 7
7. The perimeter is 32 , find x
8. Solve 2x2 = 98
9. If 5% of a number is 12 , find the number.
10. Solve the equations x + y = 13
x – y = 4
x
2x+1
Non Calculator – Test 2
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Question Solutions – Test 2
1 ₤1·92
2 3¼
3 -71
4 9·1
5 (3x-5)(3x+5)
6 x = 1·2
7 x = 5
8 x = 7 or x = -7
9 240
10 x = 8.5 and y = 4.5
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1. Evaluate
2. Evaluate 21.6 – 3.2 + 2.1
3. Find of ( + )
4. Write 60 as a surd in it’s simplest form. 5. Factorise fully 2x3 – 8x
6. Simplify
7. Solve 5x – 2(3x-1) > 48. Remove the brackets (2x + 3)(x2 + x + 3)
9. If sinA = ¾ and A is an acute angle , find the exact
value of cosA.
10. If y varies directly as the cube of x and x is doubled ,
find the effect on y ?
7
54
6
23
x
x x
3
1
3
2
4
1
63
168
x
x
Non Calculator- Test 3
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Question Solutions – Test 3
1 x2
2 20·5
3 11/36
4 2√15
5 2x(x-2)(x+2)
6 8/3
7 x > 0·5
8 2x3 + 5x2 + 9x + 9
9 √7/4
10 multiplied by a factor of 8
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1. If f(x) = 3 – 2x2 , find the value of f(-2)
2. Solve the equation 4x2 – 7x = 0
3. Factorise fully x3 – 4x4 . Simplify 45 + 20
5. Simplify the expression
6. The perimeter of a rectangle is 36 and thelength is twice the breadth.
Find the area of the rectangle.
7. Solve =
8. Find 3% of 480
9. Evaluate 2
10. Evaluate
2
25
6
23
x
x x
x
8
2
5
2
13
7
1
4
3
16
Non Calculator- Test 4
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Question Solutions – Test 4
1 -5
2 x = 0 or x = 7/4
3 x(x-2)(x+2)
4 5√5
5 x9
6 72cm2
7 x = 3·2
8 14·4
9 7½
10 8
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1. Find 25% of £192. If x = -2 and y = 5 find the value of +
3. If the diameter of the larger circle is
20cm and the diameter of the smaller circle is 10cm , find the shaded area.
Take as 3.
4. Subtract 6.38 from 13.95. How many pencils costing 14p
each can you buy for £5 ?
6. Change to a decimal.
7. A pupil scored in an English exam. What was his percentage mark.
8. Find the gradient of the line 2x+y+5 = 0
9. If y varies inversely as x and y=5 when x =2 find a formula connecting x and y.
Find y when x = 20.
10. If y = mx + c , change the subject of the formula to m.
x y 2 x
5
3
25
18
Non Calculator- Test 5
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Question Solutions – Test 5
1 ₤4·75
2 1·5
3 225cm2
4 7·52
5 35 pencils
6 0·6
7 72%
8 m = -2
9 y=10/x ; 0·5
10 m = (y-c)/x
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1. If tanx = find the exact value of cosx.
2. Write the fraction with a rational denominator in its simplest
possible form.
3. Find 5% of 42
4. Evaluate of
5. A rectangle has a length 3+2 and a breadth 3-2 .
Find an expression for the area in its simplest form.
6. Factorize 6x2 – 13x + 6
7. The perimeter of a square is 6cm. Find the area.
8. If x = 4 and y = 25 , find the value of
9. If f(x) = 3x + 5 and f(t) = 32 find the value of t
10. Solve the equation 3x2 = 5x
12
5
12
6
2
1
4
1
3
2
2
1
x 2
1
y
Non Calculator – Test 6
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Question Solutions – Test 6
1 12/13
2 √3
3 2·1
4 11/24
5 7
6 (3x-2)(2x-3)
7 2·25cm2
8 2/5
9 t = 9
10 x = 0 or x = 5/3
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1. Simplify
2. Simplify
3. Solve the equation 5 – 2(2x – 3) 13
4. If T = , change the subject of the formula to P
5. If x = 4 and y = 25 find the value of 26. If x + y = 17 and x – y = 4 , find the value of y.
7. If f(x) = 5x – 4 and f(t) = 11, find t.
8. Simplify 60 + 135
9. If A is an acute angle and sinA = , find the exact value of tanA.
10. Solve the equation 2x2 – 2x = 0
11. The diagram shows the graph of the function y = x2 – 4x.Find the coordinates of point P
12. Find the equation of the straight line shown.
2
34
10
45
x
x x
x x
x
52254 2
2
)31(7
4 P
2
1
2
1
y x
5
4
(0,5)(4,7) P
.
Non Calculator – Test 7
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Question Solutions – Test 7
1 2x9
2 (2x+5)/x
3 x less than or equal to -0·5
4 P = (7T-124)/4
5 4/5
6 y = 6·5
7 t = 3
8 5√15
9 4/3
10 x = 0 or x = 1
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1. Simplify
2. Find x as a surd in its simplest form.
3. If f(x) = 1 – 2x – x2 , find the value of f(-1).
4. If a = -3 , b = -2 and c = 5 find the value of b2 – 4ac.
5. The gradient of the line joining the points (2,5) and (5,t) is 3.
Find the value of t.
6. Find the coordinates of point T shown in the diagram
7. If x = 2 3 and y = 3 2 find the value of x2y2
8. The graph shows the relation y varies inversely
as x’ . Find the equation connecting x and y.
9. If y varies directly as the cube of
x and x is doubled, find the effect on y.
10.Solve the equations 3x + 2y = 3
y = 2x – 9
11. Factorize fully 8x4 – 2x2
12. Remove the brackets (4x – 3)( x2 – 2x – 3)
)2(3 2
1
2
1
2
1
x x x2
6
x
T
x – y = 2
x + y =10
y
x
(3,10).
Non Calculator – Test 8
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Question Solutions – Test 8
1 6x - 3
2 4√2 3 2
4 64
5 t = 14
6 T(6,4)
7 216
8 y=30/x
9 y is mult by factor of 8
10 x = 3 , y = -3
11 2x2(2x-1)(2x+1)
12 4x3 - 11x2 – 6x + 9
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1. What is the equation of the function shown in the diagram?
2. Factorize fully 15x2 + x – 6
3. If x = -4 , y = 2 and t = -3 find the value of yt – 2x2
4. Simplify 50 - 185. Simplify
6. Evaluate
7. If y varies directly as the square of x and x is multiplied by a factor of 3find the effect on y.
8 Find the equation of the straight line shown.
9 Write x as a surd in its simplest form.
10. Write as a single fraction
11. If , change the subject to T and hence find T when P = 40.
12. Solve the inequation -5x –7 11
4
-4
180 360
x x
x x
3
62
2
)4
3
3
2(
2
1of
y
(16,0)
(4,6)
x
3
21
2
13 x x
)13(2
1 T P
Non Calculator- Test 9
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Question Solutions – Test 9
1 4cos2x
2 (5x-3)(3x+2) 3 -48
4 2√2
5 (x+2)/x
6 17/24
7 y is mult. by a factor of 9
8 y = -0.5x + 8
9 4√5 10 (5x-5)/6
11 T=(2P-1)/3 ; T = 13
12 x greater than or equal to -3.6
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1 Find the equation of the straight line shown in the diagram.
2. If x = -2 find the value of 2x3.
3. Solve the equation 3x2 – 9x = 0.
4. y varies inversely as the square of x and y = 1 when x = 2.
Find a formula connecting x and y. Find y when x = 4.
5. Evaluate
6. Simplify 75 - 48
7. The perimeter of the rectangle shown is 62cm.
Make an equation and find x correct to 1 decimal place.
0
y
x
(0,3)
(6,0)
5
11
2
12
5
2x+1
Continued on next slide
Non Calculator- Test 10
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8. Simplify
9. Find 4% of £48
10. Multiply out the brackets (2x – 1)3
11. Write with a rational denominator
12. Simplify the expression
84
4
x
12
4
1
37
20
410
x
x x
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Question Solutions – Test 10
1 y=-0.5x+3
2 -16 3 x= 0 , 3
4 y=4/x2 , y = 0.25
5 3
6 √3 7 x = 7.5
8 1/(x-2)
9 ₤1·92
10 8x3 – 12x2 + 6x -1
11 √3/2
12 2x11
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1. Write down the equation of the trig. function shown in the diagram.
2. If A is an acute angle and sinA = ,
find the exact value of cosA giving
your answer as a surd with a rational denominator.
3. Simplify the fraction
4. Find the exact value of cosA
5. Remove the brackets (5-3x)(6-4x)
6. If x = 36 and y = 9 find the exact value of
Non Calculator - Test 11
-3
3
90º 360º
2
1
x x
x
3
92
2
8
7
5
A
2
1
2
1
y x
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7. Find x if 5x + 2y = 17 and 3x –2y = 7.
8. Find the gradient of the line shown in the diagram.
9. Simplify the expression shown
10. Find 25% of 47
11. Evaluate
12. If f(x) = and f(t) = , find t.
yx
(-5,0)
(0,-4)
)( 2
1
2
1
2
1
x x x
4
1
3
1
2
1
12
3
x
x
2
1
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Question Solutions – Test 11
1 3sinx
2 √3/2
3
4 1/7
5 30 – 38x + 12x2
6 18
7 x = 3
8 m = -0·8
9 x – x-1
10 11·75
11 7/12
12 t = ¼
x
x 3
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1. Identify the trig. graph shown in the diagram
2. Factorize fully 8x2 – 2y2
3. If x = -10 and y = -4 find the exact value of giving your answer
as an improper fraction in its simplest form.
4. Write as a single fraction
5. Evaluate
6. If f(x) = 1 - 2x - 4x2 , find the value of f(-3).
-3
3
180º 360º
3
2
y
x
3
1
2
3 x x
)4
37
4
112(
2
1of
Non Calculator – Test 12
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7. The area of a square is 300cm2.
Find the perimeter giving your answer as a surd in its simplest form.
8. Find the equation of the straight line shown.
9. y varies directly as the square root of x and y = 5 when x = 16.Find an equation connecting x and y. Find y when x = 9.
10. Evaluate (5x2)3
11. Solve the equation 7x – 4x2 = 0.
12. Multiply out the brackets and simplify (3 2 +1)(2 2 – 1)
(0,4)
0(12,0)
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Question Solutions – Test 12
1 3sin2x
2 2(2x-y)(2x+y) 3 -25/16
4
5 2¼
6 -29
7 P = 40√3
8 m = -1/3
9 y=1.25√x ; y = 3.75
10 125x6
11 X = 0 , 7/4
12 11 - √2
6
211 x
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Non Calculator - Test 13
1. The rectangle shown has an area of 84 sq.cm
Make an equation and find x.
2. Factorize fully 25t3 – t
3. Find 25% of £350
4. Simplify the expression x(x-3) – (x+2)(x+1)
5. Evaluate 13.8 – 15.6 + 4.7
6. If f(x) = 3x2 – 2x –1 , find the value of f(-2).
7. Write 500 as a surd in its simplest form.
2x+3
3
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8. Find the gradient of the straight line shown.
9. y varies directly as the square of x and y = 40 when x = 2.
Find an equation connecting x and y. Find y when x = 3.
10. Evaluate (yx3)4
11. Solve the equation x2 – 6x - 16 = 0.
12. Multiply out the brackets and simplify ( 2 +1)( 2 – 1)
(0,5)
0(10,0)
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Question Solutions – Test 13
1 x = 12·5
2 t(5t-1)(5t+1)
3 ₤87·50
4 -6x -2
5 2·9
6 15
7 10√5
8 m = -½
9 y = 10x2 , y = 90
10 y4x12
11 x = 8 , -2
12 1
Non Calculator Test 14
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Non Calculator – Test 14
1. If sinx = , find the exact value of cosx.
2. Write the fraction with a rational denominator in its simplest possible form.
3. Find 9% of 36
4. If f(x) = 3x – 5 and f(t) = 22 , find t.
5. A rectangle has a length 5+6 and a breadth 5-6 .
Find an expression for the perimeter in its simplest form.
6. Factorise 9x2 – 12x + 4
7. The perimeter of a square is 14cm. Find the area.
8. If x + y = 24 and y = 2x , find the value of y
9. Simplify
10. Solve the equation x2 = 3x
186
13
5
2010
189
x
x
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Question Solutions – Test 14
1 12/13 2 √2
3 ₤3·24
4 t = 9
5 20
6 (3x-2)(3x-2)
7 12·25
8 16 9 9/10
10 x = 0 , 3
N C l l t T t 15
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Non Calculator – Test 15
1. Simplify
2. Simplify
3. Solve the equation 5x – (2x – 3) 1
4. If W = , change the subject of the formula to M.
5. If x = 9 and y = 16 find the value of
6. Find the V.A.T. on an article costing £400.
7. If f(x) = 5x – 1 and f(t) = -6 , find t.
1
52
20
45
x
x x
x x
x
5
252
2
)2(2
1 M
2
1
2
1
y x
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8. Simplify 20 + 45
9. If A is an acute angle and sinA = , find the exact value of tanA.
10. Solve the equation 2x2 + 5x = 0
11. The diagram shows the graph of the function y = x2 – 6x.
Find the coordinates of point P, the minimum value of the function.
12. Find the equation of the straight line shown.
2
1
P
(0,1)
(10,2)
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Question Solutions – Test 15
1 x8
2 3
4 M = 2W - 2
5 ¾
6 ₤70
7 t = -1
8 5√5
9 10 x = 0 or x = -5/2
11 (3,-9)
12 y = 0.1x + 1
x
x 5
x3
2
3
1
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Non Calculator – Test 16
1. Find 3% of £78
2. Evaluate
3. If a = 2 , b = -1 and c = 3 find the value of ab – bc
4. Evaluate 12 4 + 6 2
5. Factorise fully 2x2 – 3x + 1
6. Simplify the algebraic fraction
7. Write 56% as a fraction in its simplest form.
8. Solve the equation 2x2 + 5x = 0
9. If 10% of a number is 17 , find the number.
10. Find the value of x if x + y = 12 and x – y = 11
11. y varies inversely as x and y = 6 when x = 5. Find y when x = 10.
5
1
3
1
2
1
34
92
2
x x
x
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Question Solutions – Test 16
1 ₤2·34
2 19/30 3 1
4 15
5 (2x-1)(x-1)
6 (x-3)/(x+1)
7 14/25
8 x = 0 or x = -5/2
9 170 10 x = 11·5
11 y = 3
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Non Calculator – Test 17
1. Evaluate
2. Evaluate 1.6 – 3.2 + 2.1
3. Write as a single fraction
4. Write 80 as a surd in it’s simplest form
5. Factorize fully 6x2 – 13x + 6
6. Find the gradient of the line which
passes through the points (0,4) and (4,0)
7. Solve 6x – (3x+2) < 4
8. Remove the brackets (x + 1)(x2 + x - 3)
9. If sinA = , and A is an acute angle , find the exact value of tanA.
10. If y varies directly as the square of x and x is trebled ,
find the effect on y ?
2
63
x
x x
4
1
3
12
x x
3
2
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Question Solutions – Test 17
1 x11
2 0·5 3 (5x+7)/12
4 4√5
5 (3x-2)(2x-3)
6 m = -1
7 x < 2
8 x3 + 2x2 – 3x - 3
9 2/√5 10 y is mult. by a factor of 9
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Non Calculator – Test 18
1. Write the number 32.6904 correct to
a) 1 decimal place b) 5 significant figures
2. Write the fraction with a rational denominator in its simplest
possible form.
3. Find 50% of 6.42
4. If f(x) = 1-2x and f(t) = 5 , find t.
5. Factorize fully 4x3 – 4x
6. Make x the subject of the formula y = mx + c.
7. The area of a square is 400cm2. Find the perimeter.
8. If x = 4 and y = 16, find the value of
9. Simplify (x+1)2 – x(x-2)
10. Solve the equation 5 – 2(x-2) = 0
18
12
2
3
x 2
1
y
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Question Solutions – Test 18
1 a) 32·7 b) 32·690
2 2√2 3 3·21
4 t = -2
5 4x(x-1)(x+1)
6 x = (y-c)/m
7 P = 80
8 ½
9 4x + 1 10 x = 4·5
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Non Calculator – Test 19
1. Simplify
2. Find x as a surd in its simplest form.
3. If f(x) = x – x2 , find the value of f(-2).
4. Find 9% of £44
5. The gradient of the line joining the points (0,2) and (2,t) is 4.
Find the value of t.6. Write 40% as a fraction in its simplest form.
7. If x = 4 3 and y = 3 3 find the value of 2xy
8. Solve the inequation 4x – 2(1-2x) > 5
9. If y varies directly as the square of x and x is doubled, find the effect on y
10. Solve the equations 3x + 2y = 16 , y = x – 2
11. Factorize fully x4 – 81
12. Remove the brackets (x – 3)(2x2 – 2x + 3)
48
x
)2(2 2
1
2
1
2
3
x x x
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Question Solutions – Test 19
1 2x2 – 4x
2 4√3 3 -6
4 ₤3·96
5 t = 10
6 2/5
7 72
8 x>7/8
9 y is mult. by 4 10 x = 2
11 (x-3)(x+3)(x2+9)
12 2x3 – 8x2 + 9x - 9
N C l l t T t 20
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Non Calculator – Test 20
1. Find the equation of the straight line with a gradient
3 which passes through the origin.
2. If x = -2, find the value of 3x2.
3. Solve the equation x2 + x = 0.
4. y varies inversely as the square of x and y = 2 when x = 2.
Find a formula connecting x and y. Find y when x = 4.
5. Evaluate
6. Simplify 125 + 75
7. The perimeter of the rectangle shown is 70cm.
Make an equation and find x correct to 1 decimal place.
5
31
4
12
4
x+6
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8. Simplify
9. Find 2% of £48.50
10.Multiply out the brackets (x + 2)3
11. Write in its simplest form with a rational denominator
12. Simplify the expression
42
2
x
8
2
2
36
16
420
x
x x
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5
33
Question Solutions – Test 20
1 y = 3x
2 12
3 x = 0 or x = -1
4 y=8/x2 ; y = ½
5
6 5(√5 + √3) 7 x = 25
8 1/(x-2)
9 ₤0·97 10 x3+ 6x2 + 12x + 8
11 √2/2
12 5x11
Non Calculator 21
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Non Calculator 21
1. Find 10% of £19
2. If x = -1 and y = -2 find the value of +
3. Solve the equation x2 = 3x.
4. Subtract 4.8 from 7.3
5. Remove the brackets (x + 2) (x2 + x + 1)
6. Write 8% as a fraction in its simplest form.
7. Simplify
8. Find the gradient of the line 2x+4y+1 = 0
9. If y varies inversely as the square of x and y=2 when x =3
find a formula connecting x and y. Find y when x = 6.
10. If C = , change the subject of the formula to F.
x
y 3 x
63
42
x
x
)32(9
5 F
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Question Solutions – Test 21
1 ₤0·19
2 1 3 x = 0 , 3
4 2·5
5 x3+3x2 + 3x + 2
6 2/25
7 2/3
8 m = -½
9 x = 6 and y = ½ 10
5
)1609(
C F
Non Calculator Test 22
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Non Calculator – Test 22
1. If sinx = and x is an acute angle, find the exact value of cosx.
2. Write the fraction with a rational denominator in its simplest
possible form.
3. Find 2% of 80
4. Evaluate of
5. A rectangle has a length 32 and a breadth 52
Find an expression for the area in its simplest form.
6. Factorise x2 – x – 6
7. The perimeter of a square is 10cm. Find the area.
8. If x = 9 and y = 4 , find the value of 4
9. If f(x) = 2x + 5 and f(t) = 23, find the value of t.
10. Solve the equation x2 = 5x + 4
17
8
186
41
41
21
2
1
x 2
1
y
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Question Solutions – Test 22
1 15/17
2 √2
3 2
4 3/16
5 30 6 (x-3)(x+2)
7 6·25cm2
8 6
9 t = 9
10 x = 4 , x = 1
Non Calculator – Test 23
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Non Calculator Test 23
1. Evaluate
2. Evaluate 11.6 – 13.2 + 2.5
3. Remove the brackets (x + 2)(2x2 –x -1)
4. Calculate the gradient of the line which passes
through the points (5,2) and (-3,2).
5. If f(x) = 3 – x – x2, find the value of f(-3).
6. Simplify
7 . Solve the equation x2 = 7x
8 . Simplify √45 + √20 - √125
9 . If P = 4(L + B), change the subject of the formula to B.
10 . If y varies inversely as the square of x and x is doubled,
find the effect on y?
7
45
6
12
x
x x
1
2
x
x x
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Question Solutions – Test 23
1 2x2
2 0·9 3 2x3 + 3x2 – 3x -2
4 m = 0
5 -3
6 x
7 x = 0 , x = 7
8 0
9 B=(P-4L)/4 10 y is divided by a factor of 4
Non Calculator – Test 24 6
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Non Calculator – Test 24
1. Write down the equation of
the trig. function shown in the diagram.
2. If A is an acute angle and sinA = , find the exact
value of tanA, giving your
answer as a surd with a rational denominator.
3. Simplify the expression 2x(x+1) – (2x+1)(x-1)
4. Find the exact value of cosA.
5. Solve the equation
6. If x = 25 and y = 4, find the exact value of x -½ y ½
360º
-6
6
90º
3
2
4
5
2
A
4
3
5
12
x
x
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7. Solve 2x + 3y = 21 , y = 3x – 4
8. Find the equation of the line shown in the diagram.
9. Simplify the expression shown
4
10. Find 15% of 20
11. Evaluate
12. Write √120 as a surd in its simplest form.
y
x (-2,0)
(0,-1)
)( 2
1
2
1
2
1
x x x
4
3
3
2
4
1
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Question Solutions – Test 24
1 6sinx
2 2/√5 3 3x + 1
4 37/40
5 x = -3·8
6 2/5
7 x = 3 , y = 5
8 y = -0·5x - 1
9 4 – 4x 10 3
11 3/4
12 2√30
Non Calculator – Test 25
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Non Calculator Test 25
1. Find 5% of £60000
2. Evaluate ¼ of ( 10½ - 4)
3. A square has an area of 400 cm2. Find the perimeter of the square.
4. Evaluate 1.52 + 2.52
5. Factorize fully x3 – x
6. Solve 4 – 2(x – 1) = 9
7. If f(x) = x2 + 1 find the value of f(-2) – f(2).
8. Write as a surd with a rational denominator
9. A discount of 40% is offered on a television set in a
sale. Find the sale price of the set.
10. State the gradient of the line with equation x + 4y = 1
20
8
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Question Solutions – Test 25
1 ₤3000
2
3 80cm
4 8·5
5 x(x-1)(x+1) 6 x = -1·5
7 0
8 4√5/5
9 Needs a price for the set.
10 -¼
16
91
Non Calculator – Test 26
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1. Simplify
Find the value of this expression when x = 4.
2. Find x as a surd in its simplest form
3. If f(x) = 10 – x – x3 , find the value of f(-1).
4. y varies directly as x and y =6 when x = 4. Find y when x = 10.
5. Solve the equation x3 – 4x = 0
6. Find the coordinates of point
)5.0(8 2
1
2
1
2
1
x x x
2
8
x
P
x – y = 1
x + y = 8
y
x
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7. If x = 4 2 and y = 5 2 find the value of x3y
8. The graph shows the relation y varies inversely as the square of xFind the equation connecting x and y
9. If x = 4, find the value of √(x2 + 48)
10. Find the point where the line 2x + 3y -12 = 0 cuts the x axis
11. Factorize fully x2 – x – 12
12. Remove the brackets (x – 3)( x2 – 2x + 3)
(2,5)
Q ti S l ti T t 26
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Question Solutions – Test 26
1 4x - 8
2 2√15
3 12
4 y = 1·5x ; y =15
5 x = 0,2,-2
6 P(4.5,3.5) 7 1280
8 y=20/x2
9 8
10 (6,0)
11 (x-4)(x+3)
12 x3 - 5x2 + 9x - 9
Non Calculator – Test 27
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1. Simplify
2. Simplify
3. Solve the equation 15 – (2x – 3) 1
4. If M = , change the subject of the formula to T
5. Write as a single fraction
6. If 2x + y = 11 and x – y = 4 , find the value of y.
7. If f(x) = x2 – 4 and f(t) = 32, find t.
1
34
10
25
x
x x
5625
2
2
x x
x
)12(3
2
T
3
1
5
12
x x
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8. Simplify 242 - 98
9. If A is an acute angle and cosA = ,
find the exact value of tanA.
10. Solve the equation x2 – 11x = 0
11. The diagram shows the graph of the
function y = x2 – 6x. Find the coordinates
of point P
12. Find the gradient of the straight line
shown.
13
12
P
6
(0,3)(5,9)
Q ti S l ti T t 27
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1
5
x
x
2
243
M T
15
2 x
12
5
tan
A
5
6
Question Solutions – Test 27
1 x8
2
3 x 8.5
4
5
6 y = 1
7 t = 6 , -6
8 4√2
9 10 x = 0 , 11
11 (3,-9)
12
Non Calculator – Test 28
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1. Find 5% of £1800
2. If x = -2 and y = -4 , find the value of +
3. A straight line has equation 4x + 3y = 24.
Find the point where the line cuts the y axis.
4. Subtract 4.76 from 12.38
5. Simplify the algebraic fraction
6. Change to a decimal.
x
y2 3 x
6020
3010
x
x
5
2
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7. A pupil scored in a Mathematics exam.
What was his percentage mark?
8. If f(x) = ax2 + 5 and f(2) = 33, find the value of a.
9. If y varies inversely as the cube of x and y = 1 when x =2.
Find a formula connecting x and y. Find y when x = 1.
10. If e = mc2 , change the subject of the formula to c.
40
28
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3
8
x y
m
eC
Question Solutions – Test 28
1 90
2 -4 3 (0,8)
4 7·62
5 ½
6 0·4
7 70%
8 a = 7
9 , x = 1 , y = 8 10
Non Calculator – Test 29
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1. Find the equation of the straight line shown in the diagram.
2. If x = -1, find the value of x3 – x2
3. Solve the equation 4x2 – 81 = 0.
4. P varies directly as the square of Q and P = 1 when Q = 2.
Find a formula connecting P and Q.
Find P when Q = 10.
5. Evaluate
6. Simplify 200 - 128
0
y
x
(0,4)
(8,0)
311
214
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7. The perimeter of the rectangle shown is 56cm.
Make an equation and find x.
8. Evaluate , when x = 2
9. Evaluate 100 – 25 5
10. Multiply out the brackets (1-3x)(4x+1)
11. Write with a rational denominator
12. Simplify the expression
6
3x+4
85
2
x
12
4
2
3
2 x
x
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Question Solutions – Test 29
1 m = -½
2 -2 3 9/2 and -9/2
4 P=¼Q2 , P = 25
5 6
6 2√2
7 x = 6
8 1
9 -25 10 1 + x – 12x2
11 4(√2 – 1)
12 ½x5
Non Calculator – Test 3012
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1. What is the equation of the function shown
in the diagram?
2. If f(x) = 4 + ax3 and f(-1) = 5 , find a formula for f(x)
and hence find the value of f(3)
3. If x = 10 , y = -2 and t = 3, find the value of
4. Simplify 3x4 (2x2)3
5. Simplify
6. Evaluate
7. If x + y = 20 and y = 4x , find the value of y.
-12
360 180
t
y x
x x
x x
3
62
2
)4
7
4
3(
4
1of
y
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8. Find the equation of the straight line shown.
9. Write x as a surd in its
simplest form.
10. Evaluate 23.2 – 34.7 + 16.8
11. If , change the subject to M and hence find M when L=10.
12. Solve the inequation -2x +9 5
y
(5,0)
(1,3)
x
4
x
6
)53(2
3 M L
Question Solutions Test 30
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Question Solutions – Test 30
1 12cos2x
2 a = -1; f(3)=-23
3 4
4 24x10
5 (x-2)/x
6 5/8
7 x = 4 , y = 16
8 y = -0.75x + 3.75
9 x = 2√5 10 5·3
11 M=(2L-15)/9
12 x 2
Non Calculator – Test 31
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1. The rectangle shown has an area of 72 sq.cm
Make an equation and find.
2. Factorize fully 121x4 – x2
3. Find 8% of £300.
4. Simplify the expression 2x(x-3) – (x+2)(2x+3)
5. Evaluate 1.42
6. A Doctor has been given a pay rise of 25%.
He now earns ₤60000 per annum.How much did he earn before the pay rise.
4x
2x
7 Write 800 as a surd in its simplest form
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7. Write 800 as a surd in its simplest form.
8. Find the gradient of the straight line shown.
9. If x = √5 + 2 and y = √5 – 2, find the value of x2 + y2.
10. Evaluate √(122 + 52)
11. Solve the equation 121 – x2 = 0
12.Multiply out the brackets and simplify
(3 7 +1)( 7 – 1)
(0,6)
0(12,0)
Question Solutions – Test 31
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Q
1 x =3
2 x2(11x-1)(11x+1)
3 ₤24
4 -13x - 6
5 1·96
6 48000 7 20√2
8 m = -½
9 18
10 13
11 x = 11 , -11
12 20 - 2√7
Non Calculator – Test 32
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1. A straight line passes through the points (2,0) and (0,-2).
Find its equation.
2. Solve the equation Give your answer correct to1 decimal place
3. Factorize fully 4x2 – 15x + 9
4. y varies inversely as the square of x and x is doubled.
Find the effect on y.
5. Evaluate
6. Simplify 32 - 18
11
31
4
32
32
43 x
7 Th i t f th t l h i 50
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7. The perimeter of the rectangle shown is 50cm.
Make an equation and find x correct to 1 decimal place.
8. Simplify
9 Find 3% of £1000
10. If x = -5, y= 4 and t = -2 , find the value of x2yt.
11. Write in its simplest form with a rational denominator.
12. Simplify the expression (x+1)2 – x(x+1)
5
2x+1
816
8
x
12
6
Question Solutions – Test 32
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Question Solutions Test 32
1 y = x - 2
2 x = 0·9
3 (4x-3)(x-3)
4 y is divided by 4
5 3½
6 √2 7 x = 9·5
8 1/(2x-1)
9 ₤30
10 -200
11 √3
12 x + 1
Non Calculator – Test 33
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1 Evaluate
2. Simplify the expression -4x(x-1) – 4x(1-x) 3
3. Write as a single fraction
4. Write 72 as a surd in its simplest form.
5. Factorize fully x2 – 16x + 64
6. The point (t,5) lies on the line x + y - 9 =0. Find the value of t.
7. Solve the inequation 5x – (3x-2) < - 4
8. Remove the brackets (2x + 1)(x2 - x - 10)
9. A car costs ₤24000. In a sale it is reduced by 20%.Find the sale price of the car.
10 A car travels a distance of 250 km in 2½ hours.
Calculate the average speed of the car in km per hour.
1
52
y
y y
5
1
3
x x
Q i S l i T 33
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Question Solutions – Test 33
1 y8
2 0 3 (2x+3)/15
4 6√2
5 (x-8)(x-8)
6 t = 4
7 x < -3
8 2x3 – x2 – 21x - 10
9 ₤19200 10 100km/hr
Non Calculator – Test 34133
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1. Simplify
2. Find x as a surd in its simplest form.
3. If P = 2(L+B), change the subject to L.
4. Find of 75
5. State the gradient of the line with gradient y = 4.
6. Write 60% as a fraction in its simplest form.
7. If x = 4 3 and y = 3 3 find the value of xy2
8. Solve the equation x(x+1) = x2 + 10x + 18
9. The point (4,2) lies on the curve with equationFind the equation of the curve.
10. Evaluate 8.4 – 11.2 – (-7.8)
11. Factorize fully x4 – 9x2
12. Remove the brackets (x + 1)(x2 – x - 3)
)( 222 x x x
510
x
5
3
2 x
a
y
Question Solutions – Test 34
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2
32
x
Question Solutions Test 34
1 1 – 1/x
2 5√3
3 L=(P-2B)/2
4 45
5 m = 0
6 3/5
7 108√3
8 x = -2
9
10 5
11 x2(x+3)(x-3)
12 x3 – 4x - 3
Non Calculator – Test 35
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1. The rectangle shown has a perimeter of 70 cm.
Make an equation and find x.
2. Factorize fully 8x2 +2x – 15
3. Find 75% of £360
4. Simplify the expression
5. Write as a single fraction
6. If f(x) = x2
– 5x –6 , find the value of f(-3).
7. Write as a surd in its simplest form with a rational denominator.
2x+5
x
x x x
636
2
2
1
34
x x
20
12
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8. Find the gradient of the straight line shown.
9. y varies directly as the cube of x and y = 64 when x = 4.
Find an equation connecting x and y. Find y when x = 6.
10. Simplify (2y3x4)3
11. Solve the equation x2 = 6x
12. Multiply out the brackets and simplify(3 2 +1)(2 2 + 1)
(0,6)
0(16,0)
Question Solutions – Test 35
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x
x 6
)1(
4
x x
x
Q
1 x = 10
2 (4x-5)(2x+3)
3 ₤270
4
5
6 18
7 6√5/5
8 -3/8
9 y = x3 , y = 216
10 8y9x12
11 x = 0 , 6
12 13 + 5√2
1.5
Non Calculator – Test 36
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1. Write down the equation
of the trig. function shown in the diagram.
2. If A is an acute angle and tanA = ,
find the exact value of cosA , giving your answer as a
surd with a rational denominator.
3. Simplify the fraction
4. Find the exact value of cosA in the diagram shown.
5. If f(x) = x3 -7 and f(t) = 57, find t.
6. If x = 49 and y = 9 , find the exact value of
360º
-1.5
5
90º
3
1
x x x2
2
5
6
4 A
2
3
2
1
y x
7 Find x if x + y = 17 and x – y = 8
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7. Find x if x + y = 17 and x y = 8.
8. Find the equation of the line shown in the diagram.
9. Simplify the expression shown . Henceevaluate this expression when x = 3.
10. Find 125% of 40
11. Evaluate
12. If f(x) = and f(t) = , find t.
y
x (-2,0)
(0,-1)
)24( 2
1
2
1
2
1
x x x
7
1
3
12
2
11
1 x
x2
1
Question Solutions – Test 36
7/30/2019 Non Calculator Tests Fourth Year Ppp
http://slidepdf.com/reader/full/non-calculator-tests-fourth-year-ppp 91/91
6
51
Q
1 1.5sinx
2 3/√10
3 x/(x+1)
4 1/8
5 t = 4
6 189 7 x = 12·5
8 y = -0·5x - 1
9 4x – 2 ; 10
10 50
11
12 t 1