Page |1
Wycherley International School
Mathematics
Grade 8
Term test. Term 3 (2021/2022)
Nabeel Feroz
Name - Muhammed
…………………………………………………..
D
Grade 6 ………………………………
Answer all the questions.
1. Work out (4 marks)
49
(a) (i) 5 +2 × 7 = …………………….
40
(ii) 4 × (1 +32) = ……………
(b) (i) -6.4 × 3 = -18.12
…………………….
-6.4 + 4.3 = -2.1
(ii) ……….
2 (a) Estimate to the nearest whole number. (1 mark)
∛81 =
4
(b) Show that √160 is between 12 and 13. (2 marks)
√12 = 144 and √13 = 169
3. Find the value of 5x2 when x = -3.4
(2 marks)
= 289
4. Work these out
(a) 18 ÷ 10 -2
=
18
………………………..
(2 marks)
Page |2
(b) 0.07 × 10 -3
=
70
…………………………………….
(2 marks)
5.Work out the angles a, b, c in the diagram. (3 marks)
60°
50°
50°
6. Factorise fully.
(a) 2a2 + 5a =
(a+5) (a+2)
………………………………..
(2 Marks)
Text
(b) 6 – 18x +24y = ……………………………
(2 Marks)
7. (a) Work out
(i) 24.73 ÷ 0.001 = ……………………………. (1 Mark)
(ii) -34.73 ÷ 0.01 = ……………………………... (1 Mark)
(b) Give your answer to part (a) (i) to two significant figures …………….. (1 Mark)
Page |3
8.(a) Here is a number line. (2 Marks)
(b) Solve t + 18 ≤ 30 – t (3 marks)
…………………………………………
9. Work out. (4 marks)
2
3
a) (i) 2 5 + 3 6
2
1
(ii) 8 3 – 4 4
=
=
Page |4
10
b (i) 25 ÷ 11
4
=
5
28
(ii) 4 7 × 2 16 =
10.5
10. Andy, Brian and Charlie share $72 in the ratio 2:3:4 .
Work out how much Brian receives.
(2 marks)
……………………………
11. A country has a total area of 40.8 million hectares. 28.4 million hectares is covered with
forest.
Work out the percentage of the total area that is covered with forest. (Give your answer to
one decimal place) (3 marks)
3
12.(a) A car travels 240km in 34 hours. Calculate the average speed of the car.
(2 marks)
Page |5
(b) A 500g bag of rice costs $ 0.65. A 2.5 kg bag of the same rice costs $ 2.85. Which bag
is better value for money? (2 marks)
13. Quadrilaterals A and B are drawn on the grid
.
Describe fully the single transformation that maps A onto B. (4 marks)
……………………………………………………………………………………………………………
……………………………………………………………………………………………………………
Page |6
(b) Draw a circle with a radius of 4cm. Construct an inscribed regular hexagon. Use only a
pair of compasses and a ruler. Do not rub out your construction lines. (4 marks)
14. Mr Green spins two fair spinners. Some of the possible outcomes are recorded in this
table.
Some of the possible outcomes are recorded in this table.
Complete the diagrams of the spinners by filling in the missing values. (5 marks)
Page |7
15. Here is a boat’s sail in the shape of a right-angled triangle
Work out the total distance around the outside of the sail. ( 4 marks)
17.(a) In computing 1K = 210 = 1024. Write these in K. ( 2 marks )
(i) 215
=
…………………………
(ii) 27 = …………………………
(b) Find the value of n in each equation. ( 2marks)
(i) 2 n ÷ 2 = 8
Page |8
(ii) 5n ×56 = 1400
5
18. Given that A = [
2
3
]
1
4
B= [
1
−2
]
3
1
and C = [
6
−7
] determine; (3 marks)
0
(a) (i)A – B
(ii) A + B + C =
3
(b) If A = [
7
−4
−2 1
] and B= [
]
6
0 5
Evaluate 2A – 3B (2 marks)
19. (a) PQR is a right angled triangle.PR = 8cm, QR = 12cm, Find the size of the angle
marked x . Give your answer to one decimal place. (2 marks)
Page |9
(b) A rope is tightly stretched and attached from the top of a vertical tower to the ground. The
Angle made by rope with ground is 300 . If the length of the rope is 7m. Draw the diagram
and find the height of the tower.
(2 marks)
20. Here is a right-angled triangular prism.
(a) Work out the volume of the prism. (2 marks)
(b) The shape of a room is a rectangle , 1275 cm long and 515 cm wide.
(i) Work out the area of the room in m2 . (2 marks)
P a g e | 10
(ii) Flooring costs $62 per square meter. It is only sold in whole numbers of square meters.
What is the total flooring cost for the floor of the room?
( 2marks)
21.(a) Complete this table of values for the equation 2y – x = 4 (3 marks)
(b) Here is a graph of the line y + x = –1 Draw the graph of 2y – x = 4 on the same axes.
(1 mark)
P a g e | 11
(c) Find the gradient of the line of graph y+ x = -1
(1 mark)
(d) Use your graph to write down the solution to the simultaneous equations. (2 marks)
y + x = –1
x = ............................................
2y – x = 4
y = ............................................
22. One solution to x2 + 3x = 17 is between 2 and 3 Use trial and improvement to find this
solution.
Give your answer to 1 decimal place. You must record your trials in the table (4 marks)
X = …………………………………….
P a g e | 12
23. The table shows the age and value of seven cars.
(a) Complete the scatter graph. (2 marks)
(b) Write down the type of correlation shown on the scatter graph. (2 marks)
………………………………………………………………………………………………….
24. Surinder thinks that regular octagons will tessellate. (4 marks)
P a g e | 13
25. The diagram shows the position of two schools, M and P. (4 marks)
The scale used in the diagram is 1 cm is equal to 1 km.
(a) What is the bearing of school P from school M ? ................................................°
(b) School Q is on a bearing of 120° from school P. School Q is 4 km away from school P.
Put a cross (x) on the diagram to show the position of school Q. Label it Q.
(c) Cheng lives exactly 3 km away from school M. Draw on the diagram the locus of points
showing where Cheng lives.
-------------------------------------------- The End ------------------------------------------------------