These are the Math Challenge Questions for Grade 6 Elimination Round questions 1-25. Questions 25 – 26 can be found **here**.

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Solve each problem. Draw a figure to help you when necessary.

1.) What number is 27 more than difference of 95 and 36?

2.) Use exponents to express 5 040 as a product of prime factors.

3.) What is the value of 7 in 974 485 465?

4.) The smallest number that has 12, 30 and 36 as factor is _____.

5.) What is the reciprocal of 5 3/7?

6.) Round 7.89851 to the nearest thousandth.

7.) How many millions are there in 20 billion?

8.) How many times as great is the underlined 8 in 8 576 485 than the 8 that is not underlined?

9.) What is the smallest digit that can be place in the blank so that 67 __ 45 is divisible by 3?

10.) To which multiple of 100 is the product of 35 × 55 closest?

11.) If 3 108 x 235 =730 380, what is 31.08 × 2.35 to the nearest hundredth?

12.) What is the value of 53 – 6 × 8 + 92?

13.) What is the perimeter of the figure below?

14.) Which of the following is divisible by 6?

a) 789 108 452

b) 789 108 461

c) 789 108 474

15.) A man travels at 56 km/hr. How far can he go in 3 ¾ hours?

16.) Two scouts brought two pieces of rope of lengths 6 ¾ m and 8 2/3 m for their camp. How long are the two pieces together?

17.) Nene bought 9 bags of sugar each weighing 2 ½ kg. How many kilograms of sugar did Nene buy?

18.) Alice bought 8 ¾ m of cloth. She used 3 4/5 m for a gown. How much cloth remained?

19.) Change 129/9 to a mixed number with the fraction part in lowest terms.

20.) Change 9 7/8 to an improper fraction.

21.) Change 1 3/8 to percent?

22) Change 375% to a mixed number with the fraction part in lowest terms.

23.) In a class of 50 students, 19 are girls. What percent of the class are boys?

24.) What is the value of n in 4:n = 26:63?

25.) What is the simple interest on P6 500.00 for 3 years at 18% a year?

Answers

1.) 86

2.) 24 × 32 × 5 × 7

3.) 70 000 000

4.) 180

5.) 7/38

6.) 7.899

7) 20 000

8.) 100 000

9.) 2

10.) 1 900

11.) 73.04

12.) 158

13.) 19cm

14.) c

15.) 210km

16.) 15.42m or 15 5/12

17.) 22 ½ or 22.5

18.) 4 19/20

19.) 14 1/3

20.) 79.8

21.) 137.5%

22.) 3 ¾

23.) 62%

24.) 9.69

25.) P3 510.00