Exercises in GCSE Mathematics Foundation level Robert Joinson
Mathematics Exercises
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Transcript of Mathematics Exercises
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Mathematics ExercisesMathematics Exercises
SharingSharingKONG Ching-wahKONG Ching-wah
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A caseA case
7x + 4x =11x7x + 4x =11x mx + nx =(m + n)xmx + nx =(m + n)x
7x + 4x =
15x + 23x =
11x + 36x =
38x + 25x =
14x + ax =
ax + bx =
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Assignment is:Assignment is:
- By orderBy order
- No choiceNo choice
- Routine workRoutine work
- BoringBoring
- Too easy/too difficultToo easy/too difficult
- Not align with assessmentNot align with assessment
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12 -35=
-65 - (37) =
23 + (-37) =
-28-(-39) =
-16 - (-37) =
18 - (-7) =
-6 +(-77) =
26 - (-47) =
-36 - (-57) =
-16 +(-37) =
-36 - 57 =
(-36) - (-57) =
-37 -(-18) =
-22 -37 =
-47 -(-18) =
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-28-(-39) =
5 – 2 = _____
5 – 1 = _____
5 – 0 = _____
5 – (-1) = ____
5 – (-2) = ____
5 – (-3) = ____
5 – (-4) = ____
5 – (-5) = ____
5 – (-6) = ____
5 – (-7) = ____
8 –(-12) = ____
18–(-24) =____
5 – (-7) = _____
4 – (-7) = _____
3 – (-7) = _____
2 – (-7) = _____
1 – (-7) = _____
0 – (-7) = _____
-1 – (-7) = _____
-2 – (-7) = _____
-3 – (-7) = _____
-8 – (-12) = ____
-18–(-24) = ____
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28 -36 35+ -
-+-12 -26 -17 29
++- --22 -33 -1952 13
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[4
1 -
8
1 ]( )
3
22
-5 [ /16
1
4
7 ]
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4ab + 3a4ab + 3a22b + 2ab b + 2ab Use , and to divide the following expressions into three groups.
xy 3x2y xy2 4xy 2xy2
3x2y -5xy -2x2y 16xy
-23x2y 43x2y -11xy2
7xy -16xy 89xy2
5xy2 -3x2y -34x2y
25xy -19xy2 -20x2y
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2ab + 3a2ab + 3a22bbHow many “7”s are there?2(7) + 3(7) = ___________
How many “x” are there?
2x + 3x = _____________
How many “xy” are there? 2xy + 3xy = ___________
Can we add them up?
2xy + 3x2y = ___________
= ___________
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(4x (4x -- 3) + (3) + ( -- 7x 7x ++ 9) =9) =
2x + x =
2x + (-x) =
2x + (-2x) =
2x + (-3x) =
2x + (-5x) =
2 + 5 =
1 + 5 =
0 + 5 =
-1 + 5 =
-2 + 5 =
Group the like terms.
(3x2+5x-8) + (-5x2-7x-6) =
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120o
OA
B
Find the area of sector OABFind the area of sector OAB
120o = ------- of a circle ?
120o
The area of sector OEF is ?
90o3cm
OE
F
Find the area of the shaded part.
3cm
OE
F
90o
6cm
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3cm
3cm
3cm3cm
4cm
4cm
12cm
Find the total surface area of the following object.Find the total surface area of the following object.
3cm
3cm
3cm3cm
4cm
4cm
12cm
Total Total AreaArea
No. of No. of piecepiece
AreaAreaDimension Dimension
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Find the total surface area of the following object.Find the total surface area of the following object.
3cm
3cm
3cm3cm
4cm
4cm
12cm
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A Story ModeA Story Mode
I can only do the operations of “multiply
by 2” and “divided by 2” and I can do the
multiplication of all numbers. This is the
way I do 25(47)
Divided by 2 Multiply by 2
25* 47
12 94
6 188
3* 376
1* 752
47 + 356 + 752 = 1175
25(47) = 1175
John
1.1. Find the way that John did his calculation.Find the way that John did his calculation.
2.2. Why it works in this calculation?Why it works in this calculation?
3.3. Is this method applicable to all operation of Is this method applicable to all operation of multiplication of two numbers?multiplication of two numbers?
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When the sum of all the digits in a number is When the sum of all the digits in a number is divisible by 3, this number is divisible by 3. divisible by 3, this number is divisible by 3.
Do you believe? Give your reason.Do you believe? Give your reason.
Believe or not?Believe or not?
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The Design:The Design:
- Of own learningOf own learning
- Of own choiceOf own choice
- Learning taskLearning task
- VarietyVariety
- Suitable challengeSuitable challenge
- Cross topicsCross topics
- Learn new things and strengthen the old.Learn new things and strengthen the old.
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