Logical and Interesting Math Problems - 7th Grade

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What is the value of x in the equation 3x + 5 = 20?

x = 5

If you have a sequence of numbers: 2, 4, 8, 16, what is the next number in the sequence?

32

A number is multiplied by 8 and then reduced by 4 to get 60. What is the number?

The number is 8.

What is the area of a rectangle with a length of 5 cm and a width of 3 cm?

15 square centimeters

How many sides does a hexagon have?

Six sides

If a car travels at 60 km/h, how far will it travel in 2.5 hours?

150 kilometers

What is the greatest common divisor (GCD) of 24 and 36?

12

Solve for y: 2y/5 = 8.

y = 20

What is the next prime number after 11?

13

What is the perimeter of a square with a side length of 4 cm?

16 cm

If two angles in a triangle are 35° and 65°, what is the third angle?

80°

What is the probability of rolling a 3 on a fair six-sided die?

1/6

Convert 3/4 to a percentage.

75%

Simplify the fraction 16/64.

1/4

How many degrees are in a right angle?

90 degrees




Test Your Knowledge

Select the correct option


1. What is the value of x in the equation 3x + 5 = 20?

10

5

3

15

2. If you have a sequence of numbers: 2, 4, 8, 16, what is the next number in the sequence?

32

64

20

48

3. A number is multiplied by 8 and then reduced by 4 to get 60. What is the number?

10

6

4

8

4. What is the area of a rectangle with a length of 5 cm and a width of 3 cm?

8 square centimeters

10 square centimeters

15 square centimeters

20 square centimeters

5. How many sides does a hexagon have?

Five sides

Four sides

Seven sides

Six sides

6. If a car travels at 60 km/h, how far will it travel in 2.5 hours?

120 kilometers

150 kilometers

90 kilometers

180 kilometers

7. What is the greatest common divisor (GCD) of 24 and 36?

6

24

12

18

8. Solve for y: 2y/5 = 8.

15

10

25

20

9. What is the next prime number after 11?

12

15

13

14

10. What is the perimeter of a square with a side length of 4 cm?

12 cm

8 cm

20 cm

16 cm

11. If two angles in a triangle are 35° and 65°, what is the third angle?

75°

85°

80°

90°

12. What is the probability of rolling a 3 on a fair six-sided die?

1/6

1/3

1/4

1/5

13. Convert 3/4 to a percentage.

70%

75%

80%

65%

14. Simplify the fraction 16/64.

1/4

1/2

1/8

4/16

15. How many degrees are in a right angle?

60 degrees

180 degrees

45 degrees

90 degrees