British Lower Secondary/Junior Checkpoint Mock Exams(Mathematics) : GATE Academy

Welcome to your British Lower Secondary/Junior Checkpoint Mock Exams(Mathematics)

NAME

PHONE NUMBER

1. The diagram below shows two quadrilaterals, Q and R, on a grid.

Which of the following describes fully the transformation that maps quadrilateral Q onto quadrilateral R.

Enlargement and Scale factor -2 and (centre) (3, 2)

Enlargement and Scale factor 4 and (centre) (1, 1)

Enlargement and Scale factor 3 and (centre) (0, 1)

Enlargement and Scale factor 2 and (centre) (1, -2)

2. The diagram shows the positions of a bridge, a tower and a station.

The station is due north of the bridge.

What is the bearing of the tower from the bridge?

180°

310°

050°

060°

070°

3. Jerome has 6 number cards.

Which of Jerome’s numbers has a square root?

4. Solve the equation:

3(3 – 2x) = 2x – 11

2.5

- 3.5

- 4

5. What is the suitable metric unit to measure the mass of a letter?

metres

litres

tonnes

grams

6. A box contains a large number of coloured balls.
Each ball is coloured red or green or blue or yellow.

Anoush takes a ball at random from the box and records its colour.
She then puts the ball back into the box.
She does this 200 times.

The table shows some of her results.

What is the relative frequency of the green colored balls

0.24

0.28

0.20

0.26

7. Jerome has 6 number cards.

Which two of Jerome’s numbers are prime numbers?

53 and 57

51 and 53

51 and 59

53 and 59

8. The diagram shows three scatter graphs.

What type of correlation is shown in Graph B?

None of the above

Positive

Negative

Zero

9. Evaluate:

7 ÷ 0.1

700

0.7

0.07

10. The table shows hourly rates of pay in a factory.

Anjola works for 6 hours during the day on Monday and for 5 hours on Tuesday night.
Calculate how much money Anjola earns altogether.

$44.0

$87.20

$176.0

$43.20

11. Evaluate:

70 × 0.01

0.7

700

0.07

12. x and y are positive numbers.
Below is a statement.

X × Y < X

The above statement is .......................

Always true

Sometimes true

Can't say

Never true

13. Sam measures the lengths of lizards found living in two different areas.
The table shows his results.

Which of the options match statement.:

The longest of all the lizards found comes from Area 1

Maybe

False

Cannot tell

True

14. The diagram shows a right-angled triangle.
Squares are drawn on each of the three sides.

Area of Square P = 17 cm²
Area of Square R = 50 cm²

Work out the area of Square Q.

33 cm²

100 cm²

67 cm²

34 cm²

15. One of these numbers is divisible by 4

182 218 281 812

812

182

281

218

16. A fruit bowl contains apples, bananas and oranges.
The number of each type of fruit is shown in the table.

Tori takes a piece of fruit from the bowl at random.

What is the probability that Tori does not take out an apple?

1/3

1/2

1/4

5/6

17. A carpet costs £15 per square metre.
The total delivery charge is £21
Peter buys n square metres of carpet.

The expression which represents the total cost in £ is ........................

15n + 21

21n + 15

15(n + 21)

21(n + 15)

18. Andy, Brian and Charlie share £72 in the ratio 2:3 :4
Work out how much Brian receives.

£8

£24

£72

£9

19. Bobbie scores m marks in a test.

Dan scores two marks less than Bobbie.

Write down an expression for Dan’s mark in terms of m.

m - 2

2 - m

m + 2

20. The stem and leaf diagram shows the heights, in cm, of the 15 students in class 8A and the 15 students in class 8B.

Find the range of heights of the students in class 8A

61cm

32cm

47cm

24cm

21. The diagram below shows a rectangular table:

Use Pythagoras theorem to find the length of BD

255 cm

105 cm

185 cm

195 cm

22. Which of the calculations would give 9¹⁰

I. 9² x 9⁷ x 9
II. 9¹³ ÷ 9³
III. 3⁴ x 3⁶
IV. 9²⁰ ÷ 9²
V. 9⁵ x 9²

I and II

I, II and IV

II, III and V

IV and V

23. A carpet costs £15 per square metre.
The total delivery charge is £21
Sheba buys 5 square metres of carpet.

The total cost in £ is ........................

£96

£120

£390

£420

24. A school team plays nine football matches.
The list shows the number of goals scored in each match.

1 0 5 8 1 5 0 5 2

What is the median number of goals scored?

4.5

25. Kameel and Kafeel have a total of 59 sweets between them.
Kameel has n sweets.
Kafeel has 3 fewer sweets than Kameel.
Work out the value of n.

26. The pie charts show the colours of men’s coats and women’s coats sold in a shop last
Thursday.

Ahmed says,
Last Thursday the shop sold more women’s black coats than men’s black coats.

Is Ahmed correct or not and why?

no sufficient data

Yes; 50% for both but less women’s coats were sold.

Yes; 50% for both but more women’s coats were sold.

No; both women’s coats were sold.

27. Below is a list of eight commonly used units:

mm cm m km cm² m² cm³ m³

Choose from the list the most suitable unit to complete the sentence.
The amount your fingernail grows in length in one month is measured in .......................

m²

cm²

28. This chart shows the time the students in three classes took to complete their homework.

Find the percentage of students in Class X that took more than 1 hour.

60%

52%

48%

34%

29. Put one set of brackets in the calculation to make the answer correct.

24 ÷ 12 – 8 + 2 = 4

24 ÷ (12 – 8 + 2) = 4

(24 ÷ 12) – 8 + 2 = 4

(24 ÷ 12 – 8) + 2 = 4

24 ÷ (12 – 8 )+ 2 = 4

30. The graph shows the line with equation 2y = 3x – 1

What is the gradient of the line?

-3

- 2.5

1.5

31. Simplify:

3y + 7 + 2y + 1

8 + 5y

3y + 8

5y + 7

13y

32. The graph below shows Sophia’s journey from Santiago to Rancagua.

Chen travels the reverse journey from Rancagua to Santiago.
He leaves Rancagua at 2.30 pm and arrives at Santiago at 5.15 pm.
He travels at a constant speed.

Write down the distance they were from Santiago when they passed each other.

50 km

60 km

48 km

52 km

33. Complete the statement by writing the name of a quadrilateral that has the given property:

All sides equal

None of the above

All of the above

Square

Rhombus or Parallelogram or Rectangle

Rectangle (or Isosceles trapezium)

34. The temperature in a freezer is -15ºC.
The temperature in the freezer increases by 3ºC.

What is the temperature in the freezer now?

3ºC

18ºC

-18ºC

-12ºC

12ºC

35. Which is the graph of y = 2x – 1?

I.

II.

III.

IV.

III

36. Tara worked out the value of a in the figure below as 111°.

Which of these could not have been a possible geometric reason in arriving at her answer?

alternate angles are equal

Angles on a straight line = 180°

Angles in a triangle = 180°

The sum of an interior angle and its exterior angle = 180°

The external angle of a triangle is equal to the sum of the opposite interior angles.

37. Work out

4 x ( 1 + 3² )

38. Natasha is making a pattern using matchsticks.
The first three patterns are shown.

Complete the table.

13, 20

13, 26

14, 26

14, 20

39. x and y are positive numbers.
Below is a statement.

X × Y > 0

The above statement is .......................

Sometimes true

Can't say

Always true

Never true

40. Raj has a present to wrap.

He has a choice of 3 colours of wrapping paper: blue, red or green.
He has a choice of 2 colours of ribbon: yellow or green.

Raj chooses the wrapping paper and the ribbon at random.

What is the probability that the ribbon is the same colour as the wrapping paper?

1/6

4/12

4/5

41. The probability that a hockey team will draw its next match is 0.1
The probability the team will win is twice the probability it will lose.

What is the probability the team will lose?

0.6

0.4

0.9

0.1

42. A package is delivered 3 hours 25 minutes after it is collected.
It is collected at 15 39.

At what time is the package delivered?

18 64

18 04

19 04

19 34

43. Arrow A maps onto arrow B using a single transformation.

Describe this transformation fully.

Reflection in the line Y = 2

Rotation 180° (or ¼ turn) clockwise Centre (5,2)

Translation

Rotation 90° (or ¼ turn) anticlockwise Centre (3,9)

44. A bottle contains 250 millilitres of lemonade.

Work out how many litres of lemonade there are in 6 of these bottles.

1.5

0.5

2.5

45. The table below shows some time differences.
It is not complete.

Malik flies from Los Angeles to Riyadh.
The time difference is 13 hours.
How many hours ahead of London is Riyadh?

4 hours

10 hours

13 hours

3 hours

46 out of 45

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British Lower Secondary/Junior Checkpoint Mock Exams(Mathematics)

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