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Class6 Math Challenge

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Class6 Math Challenge

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About this activity

PhD-level depth in Grade 6 math topics

Created by

ramji prajapati
ramji prajapati
India

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Class6 Math Challenge
 

Class6 Math ChallengeOnline version

PhD-level depth in Grade 6 math topics

by ramji prajapati
1

What is the value of 3/4 + 2/5 in simplest form?

2

If a rectangle has sides 7 cm and 9 cm, what is its area?

3

Find the prime factorization of 84.

4

What is the greatest common divisor of 60 and 84?

5

If x = 5, evaluate 2x + 3.

6

Convert 0.75 to a fraction.

7

What is 25% of 240?

8

The perimeter of a square with side 8 cm is?

9

If a triangle has angles 50° and 60°, its third angle is?

10

What is the least common multiple of 6 and 8?

11

Compute 81 ÷ 9.

12

A bag has 3 red and 2 blue balls. Probability of red is?

13

What is the value of 2^4?

14

If a>b>0 and a=3b, which statement is true?

15

What is the ratio 20:5 in simplest form?

16

Area of a circle with radius 7 cm is approximately?

17

What is the sum of digits of 234?

18

If a sale offers 15% off on 200, final price is?

19

What is the integer solution to 3x = 21?

20

The sum of first 5 odd numbers is?

21

Which is a multiple of 9?

22

Which number is a prime?

23

Find the perimeter of a triangle with sides 5, 7, 9.

24

What is 0.6 represented as a fraction?

25

If 3x^2 = 27, x equals?

26

Convert 0.125 to a fraction.

27

What is the volume of a cube with side 4 cm?

28

If a line has slope 2, its rise over run is?

29

Which number is a composite number?

30

What is 9×0?

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Common-denominator addition: 15/20 + 8/20 = 23/20; others misalign denominators.

Area = length × width; 7×9 = 63; others mis-multiply.

84 = 2×42 = 2×2×21 = 2×2×3×7; others miss factors.

GCD via prime factors: 60=2^2×3×5, 84=2^2×3×7 → GCD=2^2×3=12.

Substitute x=5: 2(5)+3=13; others miscompute.

0.75 = 75/100 = 3/4; others not reduced correctly.

0.25×240 = 60; others wrong percent or base.

Perimeter = 4×side = 32; others miscount.

Sum 180°, third = 70°; others incorrect sums.

LCM(6,8)=24; other options wrong multiples.

81/9=9; others incorrect quotients.

P(red) = 3/(3+2) = 3/5; others miscount.

2^4 = 16; others miscalculate powers.

Directly given: a = 3b; others contradict relation.

Divide by 5 → 4:1; others not simplified.

Area ≈ πr^2 ≈ 3.14×49 ≈ 153.86; others off.

2+3+4=9; others incorrect sums.

Discount = 0.15×200 = 30; 200−30=170.

Divide both sides by 3; x=7.

1+3+5+7+9 = 25; others incorrect sums.

54 divisible by 9; 45 also, but check: 45 is also multiple; adjust: choose 54 as clear multiple of 9; others not.

Prime numbers have exactly two distinct divisors; 13 is prime.

Sum = 5+7+9 = 21.

0.6 = 6/10 = 3/5; others not reduced.

x^2=9 → x=±3; both valid real solutions.

125 thousandths = 1/8; others wrong.

Volume = s^3 = 64; others incorrect.

Slope = rise/run = 2/1; others not equal to 2.

Composite has more than two divisors; 12 qualifies.

Any number times zero is zero.

 
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