NUMBER 15 MARKS

Questions 1-3 are multiple choice. Circle the correct answer.

1. Which number is not a rational number? (1 mark)

A.

B. 0.42

C.

D. 8.111

2. Evaluate correct to 2 significant figures. (1 mark)

A. 0.91

B. 1.0

C. 0.914

D. 0.9

3. 7 % = (1 mark)

A. 725

B. 7.25

C. 0.725

D. 0.0725 4. Arrange , 41%, 0.42, and in ascending order. (2 marks)

5. If x is a whole number, what number could x be if the value of is between 6 and 7? (1 mark)

6. Express as a fraction. (2 marks)

7. Express in simplest form then add 1.5. (1 mark) Give your answer as a mixed numeral.

8. Evaluate each amount then select the amount that is the smallest? (2 marks)

(i) 35% of 0.75(ii) of 62%(iii) 130% of

9. Tom bought a bike for $460 and sold it for a 30% profit.

a) How much profit was made on the bike? (1 marks)

b) If Tom gave his little sister Helen 5% of the profits, how much would Helen receive? (1 marks)

10. 30% of my weight is 18 kg. How much do I weigh? (2 marks)

PATTERNS & ALGEBRA 15 MARKS

Questions 1-3 are multiple choice. Circle the correct answer

1. The perimeter of the triangle is: (1 mark)

x + 75x

A. 3x + 14

B. 5

C. 7x + 14

D. 5x + 7

2. Evaluate when d = 3.5, e = 9 and f = 2 (1 mark)

A. 174

B. 174.7

C. 174.72

D. 173

3. Expand -3a(9a- 4) (1 mark)

A.

B.

C.

D.

4. Expand and simplify . (2 marks)

5. Factorise completely. (2 marks)

6. Simplify

a) = (2 marks)

b) = (2 marks)

b) (2 marks)

7. Find the average score of a cricketer who scores are: 4p, 3p + 7, p 3, 4p, p 3 and 3p in six innings. (2 marks)

INVESTIGATING GEOMETRY 15 MARKS

Questions 1-3 are multiple choice. Circle the correct answer

1. Which of the following is not a property of an isosceles triangle? (1 mark)

A. The base angles are equal.

B. One axis of symmetry.

C. Two sides are equal in length.

D. All sides are equal.

2. Why is equal to (1 mark)

A. Alternate angles on parallel lines.

B. Co-interior angles on parallel lines.

C. Corresponding angles on parallel lines.

D. Vertically opposite angles

3. The exterior angle of a triangle (1 mark)

A. is equal to the adjacent angle.

B. is equal to the opposite angle.

C. is equal to the sum of the two interior opposite angles.

D. is equal to the difference of the interior opposite angles.

4. Find the value of the pronumeral giving reasons (2 marks)

5. Find the value of the pronumerals giving reasons. (3 marks)

6. Five angles of a polygon are equal. The other three angles have the sum of

a) How many sides does this polygon have? (1 mark)

b) What is the angle sum of the polygon? (2 marks)

c) Find the size of each of the equal angles. (2 marks)

7. Find the value of the pronumerals giving reasons (2 marks)

A

B

T

C

WORKING MATHEMATICALLY 15 MARKS

ABm n7

1.

a) Write an expression for the area of the rectangle. (1 mark)

b) Write the area of A and B separately, in simplest form (2 marks)

Area A =

Area B =

c) Write the sum of the areas of A and B in simplest form (1 mark)

2. A truck is filled with petrol. If it costs $315.97 to fill the tank and petrol costs $1.46 per litre, what is the fuel capacity to the nearest litre? (1 mark)

3. During a 1-hour television show, there were 9 minutes of commercials.

a) What percentage of time were commercials? (2 mark)

b) How many minutes less would give 10% commercial time? (2 marks)

4. Ben bought an iPad for $550 and marked the price up by 10%. But the iPad did not sell so he reduced the price by 10% and sold it straight away. He told this to his friend Gerry and Gerry said so that would mean you sold the iPad for $550

a) Do you agree with Gerry? (explain) (2 marks)

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b) Work out how much Ben sold the iPad for in the end. (2 marks)

5. Theo bought a large pizza for the family lunch. He ate of it, his wife Maria ate of it and their son Phoenix ate of it. What fraction of the pizza did their daughter Betty eat, if she ate what was left over. (2 marks)

END OF EXAMINATIONPage 1Trinity Catholic CollegeYear 9 Task 1 2012