TERM 2 EXAM
YEAR 8
MATHEMATICS
JULY 2023
Paper 2
50 minutes
You must answer on the question paper.
INSTRUCTIONS
Answerallquestions.
●
● Use a black or dark blue pen. You may use an HB pencil for any diagrams or graphs.
● Write your name, class and teacher’s name in the boxes at the top of the page.
● Write your answer to each question in the space provided.
● Do not use staples, paper clips, glue or correction fluid.
● You may use tracing paper.
● You must show all necessary working clearly.
INFORMATION
The total mark for this paper is50.
●
● The number of marks for each question of part question is shown in brackets []
This document consists of 9 printed pages.
1
Question 1
(a)
3
Circle the fraction that is not equivalent to 8 .
[1]
(b)
Write 0.037 as a fraction.
……………….
(c)
[1]
Write down a fraction that completes this calculation.
[1]
(d)
Find a fraction that makes this statement true.
………………… [1]
(e)
Suzy makes some biscuits.
5
She sells 13 of the biscuits.
She now has 96 of the biscuits left.
Work out the total number of biscuits Suzy makes.
……………......
2
[3]
Question 2
(a)
Johnson decorates a room.
Complete Johnson’s shopping bill.
[2]
(b)
The diagram shows the floor of the room.
Calculate the area of the room.
2
……….……𝑚
3
[2]
(c)
This scale drawing shows the window in the room.
The scale is 1 centimetre represents 40 centimetres.
Work out the actual length and the height of the window.
Length:…………. cm
Height:………….cm
[2]
2
[2]
(d)
The diagram shows one wall of the room.
Calculate the area of the wall.
…………..𝑚
4
Question 3
(a)
Sharon is drawing shapes on her computer.
She wants to draw this triangle.
She needs to know the anglesa, bandc.
Calculate anglesa,bandc.
a=………………
b=……………..
c=
………………
(b)
ABCD is a rectangle.
AE is parallel to DBF.
Find the value ofxand the value ofy.
x=……………
5
[3]
y=……………
[2]
(c)
Two regular octagons and a square meet at point P.
Show, by calculation, that the three interior angles at P add up to 360°
[3]
Question 4
(a)
Here is a number sequence.
16 , ……….., - 2 , ………. , - 20
Fill in the missing blanks to complete the sequence.
(b)
At 4pm the temperature in Sydney, Australia was 28°C.
By 2am, it had dropped by 15.4°C, but by 10am the following morning it had risen by 11°C.
What was the temperature in Sydney now?
6
[2]
……………….℃
[2]
Question 5
(a)
Complete the table of values fory=
4 – 2x
x
-1
y
0
1
2
4
[3]
(b)
On the axes below, draw the liney= 4 – 2x
7
[4]
(c)
Based on your graph, do these points lie on the line? (Yes/No)
(i)
(3 , -2)
……………….
[1]
(ii)
( -2 , 6)
……………….
[1]
Question 6
(a)
The formulae below show the cost,£ C, of a taxijourney ofxmiles with three different companies.
8
Rapid taxis: C = 1.51x+ 1.5.
City taxis: C = 1.95x+ 2.
Lightning taxis: C = 1.11x+ 4.5.
Which is the cheapest company to use for a journey of 25 miles?
Show your working clearly.
………………….
[3]
………………..
[3]
……………….
[2]
………………
[2]
(b)
Work out the value ofhwhen A = 38.64, a = 5.5 andb = 3.7.
Question 7
(a)
Simplify
(i)
3a – 5b – a + 2b
(ii)
(b)
Solve.
9
(i)
15
= − 3
𝑥
(ii)
4 (5 – 3x) = 23
END OF QUESTION PAPER
10
x=……………..
[1]
x=…………….
[3]
MARKING SCHEME
TERM 2 EXAM
YEAR 8 PAPER 2
Question
Answer
Marks
Partial Mark
number
1(a)
5
1
35
37
1000
11𝑘
13𝑘
1
1(d)
Any correct fraction
1
1(e)
156
3
2(a)
47.85
2
B1 for one of first two values correct
2
M1 for 1.8 × 5.3 + 2.4 × (3.2 – 1.8) oe
1(b)
1(c)
1
1
15.[00]
65.75
2(b)
12.9
or 3.2 × 2.4 + 1.8 × (5.3 – 2.4) oe
or 5.3 × 3.2 − (5.3 – 2.4) × (3.2 – 1.8) oe
2(c)
212 cm
2
132 cm
B1 for each or
For 3.3 / 5.3 seen
2(d)
4.05
2
M1 for 2 (1.9 + 2.6) x 1.8 oe
3(a)
100
3
B1 for each
2
B1 for each
1
140
120
3(b)
[x] = 31
[y] = 121
3(c)
or M1 for their y = 90 + their x
M2
35 + 135 + 90 [=360]
A1
4(a)
7 - 11
2
B1 for each
4(b)
23.6 cao
2
M1 for 28 – 15.4 +23.6
5(a)
6 2
3
B1 for each
5(b)
All points correctly plotted
4
B2FT for 2 or 3 points correct
0
B1FT for 1 point correct
5(c)(i)
Yes
1
5(c)(ii)
No
1
6(a)
Lighting taxi
3
B2 for1.51(25) + 1.5 = £39.25
1.95(25) + 2 = £50.75.
1.11(25) + 4.5 = £32.25.
Or any correct method to show comparison
6(b)
[h]= 8.4
3
7(a)(i)
2a – 3b final answer
2
7(a)(ii)
3
4
2
7(b)(i)
- 5
7(b)(ii) -0.25 or -1/4
1
3
0
