2nd Year Mathematics

End of Year Assessment – June 2018

Paper
Non-calculator paper
Maximum mark: 53

Name _________________________________

Time allowed: 1 hour

1. Solve the following equations.

(a) 5a + 22 = – 3

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Answer a = .............................................................
(2)

(b) 4b – 12 = 14b + 6

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Answer b = .............................................................
(2)

(c) 7 (7c – 3) = 35

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Answer c = ..............................................................
(3)

!"#
(d) =4
$
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Answer m = .............................................................
(2)

(Total 9 marks)
2. (a) Express 144 as the product of prime factors.
Write your answer in index form.

Answer …………………………………………………..
(3)

(b) You are given that 400 = 2) × 5-

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Answer ……………………………………………
(2)
(Total 5 marks)

3. Perform the following calculations:

a) −3 × 7 .........................

b) −4 − 15 .........................

c) −57 ÷ −8 . ........................

(Total 3 marks)
 𝟏
4. (a) Work out the value of 3m – 8n when m = 6 and d = −
𝟐

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Answer ......................................................................
(2)

(b) Factorise fully 9𝑥 - + 15𝑥

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Answer ......................................................................
(2)
(Total 4 marks)

5. Calculate the following:

# :
a) 9
− ;;

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...……….......................................................................................................... (2)

: ;
b) 8 ) ÷ 2 -
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(5 marks)
6. (a) Complete the table of values for the straight line graph 𝑦 = 3 – 2𝑥

x −1 0 1 2 3 4

y 3 -1 –5

(2)

(b) On the grid draw the graph of 𝑦 = 3 – 2𝑥 for values of x from −1 to 4.

(2)
(Total 4 marks)

7. At the Haddonfield, Illinois branch of WalMart, five pumpkins have a retail price of $ $4.60.

How much will six pumpkins cost?

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Answer $ .....................................................................
(Total 3 marks)
Problem Solving

8. Fox and Dana divide up their marbles in the ratio 7 : 5. Fox gets 12 more marbles than Dana.
How many sweets does Dana get?

Answer:

(3 marks)

9.

Calculate the value of x.

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(3 marks)
10. The diagram shows part of a regular polygon (not to scale). Each interior angle is 144o.
Calculate the number of sides of the polygon.

144o

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Answer……………………………. (3 marks)

11. Five positive integers have a mode of 3, a median of 3, a mean of 4, and a range of 10. Find the
numbers.

Answer: ............ .............. ................... (3 marks)

12.
 The bearing of X from Y is 215o. Which diagram above shows this? Draw a circle around A, B, C or
D to indicate your answer.
(1 mark)

13. Jennifer is playing darts. She throws two darts, aiming for the bullseye. The probability that
she hits the bullseye on her first throw is ¼ whilst the probability that she hits the bullseye on
her second throw is 1>3.

a) Complete the tree diagram below.

(2)

b) Find the probability that she hits the bullseye at least once with her two darts.
Answer ......................................................................
(3)
(Total 5 marks)
 14.
(a) Shade one more square in the diagram below to make a pattern with rotational symmetry two.

(1)

(b) The diagram below shows the net of a cube. Add some more squares to the diagram so it has
rotational symmetry of order four.

(1)
(Total 2 marks)

END OF PAPER