GCSE MATH 3

Question 1

Which of the following is a prime number?

Accepted Answer

59

Answer

59 has no factors other than 1 and itself; 51 = 3×17, 57 = 3×19, 63 = 9×7.

Question 2

What is the nth term of the sequence 5, 9, 13, 17, 21, …?

Accepted Answer

4n + 1

Answer

The common difference is 4 and the first term gives 4(1) + 1 = 5, confirming 4n + 1.

Question 3

A car travels 180 km in 2.5 hours. What is its average speed?

Accepted Answer

72 km/h

Answer

Speed = Distance ÷ Time = 180 ÷ 2.5 = 72 km/h.

Question 4

Simplify the ratio 48 : 36.

Accepted Answer

4:3

Answer

Divide both by their HCF (12): 48/12 = 4 and 36/12 = 3, giving 4:3.

Question 5

If y = x² − 3x + 2, what is the value of y when x = 4?

Accepted Answer

6

Answer

y = 16 − 12 + 2 = 6.

GCSE - General Certificate of Secondary Education Practice Test