Grade 6 CBT Mathematics Mock Exam

PEP 6 Mathematics CBT 2019

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1. The Venn diagram below shows the snack that some children prefer.

Venn Diagram

Which students like both Cheetos and Big Foot?

2. The expanded form of a number is shown below.
(2 × 1000) + (9 × 100) + (5 × 10) + (6 × 1)

Which represents the number in standard form?

3. What are the next two terms in the sequence below if the pattern continues?
98, 95, 92, 89, 86, _____, _____

4. Which of the following is NOT a factor of 4?

5. Which operation should be placed in the box to make the number sentence below true?
26 □ 3.5 = 91

6. The diagram below represents the distances between Town A, Point B and Town C. Peter traveled in a straight line from Town A to Town C.

Distance Line

If he stopped at point B, what percentage of the journey did he cover?

7. Square numbers, such as 1, 4, 9, etc., can be formed by adding consecutive odd numbers beginning with 1.

Which is NOT an example of this fact?

8. Read the rule below and use it to answer the question:
"In a pattern, starting at the third (3rd) term each term is found by adding the two previous terms."

Which pattern would follow this rule?

9. The students in 6G were asked to name the sport they played. The data collected is shown in the Venn diagram below.

Sports Venn

What information do you need to determine how many students played cricket only?

10. Which of the following shows the reciprocal of the product of 5 and 6?

11. 20% of a number is 35. What is the number?

12. Fifty sweets were shared between John and Mark in the ratio of 1:4 respectively. What was Mark's share?

13. Mark, Stacey and Jennifer received salaries. Stacey got 3,000; Jennifer got 9,000. If Stacey:Mark = 3:4, what is Mark:Jennifer?

14. Which diagram shows the ratio of shaded to un-shaded parts as 2:1?

A



15. A child converted 16% to a fraction:
= 16/10 (Line 1)
= 8/5 (Line 2)
= 1 3/5 (Line 3)
In which line is the error?

16. A line segment 0–4 represents 100%. Q is at ~55% (220%). Which is NOT a valid reason?

Segment

17–18. Two similar rectangles:

Rects

17. Ratio AB:EF?

18. Ratio area ABCD:EFGH?

19. It is 1400 hrs. What time in 8 hours?

20. Carl’s Bakery workspace is 80×40. Increasing by 50%, which fits?

21. Which info is enough to find a rectangle’s perimeter?

22. Scaled floor plan (■=1 m²). Total area?

Floor Plan

23. Which group shows three congruent shapes?

Congruent

24. 12/23 + 9/23 = p. Value of p?

25. If k=150, what is k−34?

26. From 100,95,90,85,80,75,x, which expression gives x?

27. Which two symbols placed in 942 □ 0 = n give same result?

28. If □=x and Δ=1, which diagram represents x+4=9?

Boxes

29. Which (m,n) makes m/5 + 3/n < 1?

30. Which is equivalent to 3⁴?

31. Which two statements make ?=180?

32. Which two x make x+5<30 false?

33. 36 students: 16 boys, 20 girls. Correct ratios? (Choose two)

34. From 180,270,360,450,____; select two ways to get 5th term.

35. If ■=25% of a shape, which two complete shapes?

Shapes

36. Triangular prism roof: mark each info as necessary (N) or not (NN).

InfoNNN
Number of edges
Area of each triangle
Length of each rectangle
Number of faces

37. Table: is Col2 a factor, multiple, or neither of Col1?

Col1Col2FactorMultipleNeither
168
287
3020
50150

38. Shade finite (F) or infinite (I) sets.

DescriptionFI
Marbles in a tank
Counting numbers
Hair on human body

39. Bar‐chart of rainfall Jan–Jun. True or False?

Rainfall
StatementTrueFalse
June has most rainfall
Rainfall increased every month
April ≈ 2× February

40. Kaci wants to save for a $10,000 phone. She starts with $3,000, saves $500/week. w = #weeks.

Use symbols A–F:

ABCDEF
>≤=+-<

$500 w $3,000 $10,000