GCSE GCSE Mathematics 3

Question 1

What is the interquartile range (IQR)?

Accepted Answer

The difference between the upper quartile and lower quartile

Answer

The interquartile range (IQR) = Upper Quartile (Q3) − Lower Quartile (Q1). It measures the spread of the middle 50% of data and is less affected by outliers than the range.

Question 2

What does a negative correlation on a scatter graph show?

Accepted Answer

As one variable increases, the other decreases

Answer

A negative correlation means there is an inverse relationship: as one variable increases, the other decreases. The scatter points slope downwards from left to right on the graph.

Question 3

What is 3.6 × 10⁴ written as an ordinary number?

Accepted Answer

36,000

Answer

Multiply 3.6 by 10⁴ = 10,000: 3.6 × 10,000 = 36,000. Moving the decimal four places to the right gives 36,000.

Question 4

In a right-angled triangle, the opposite side is 6 cm and the hypotenuse is 10 cm. What is sin θ?

Accepted Answer

0.6

Answer

sin θ = opposite/hypotenuse = 6/10 = 0.6. The SOH-CAH-TOA rule: Sin = Opposite/Hypotenuse.

Question 5

What is the equation of a line parallel to y = 2x + 1 passing through (0, −3)?

Accepted Answer

y = 2x − 3

Answer

Parallel lines have the same gradient. The original line has gradient 2. Through (0, −3), the y-intercept is −3. So the equation is y = 2x − 3.

GCSE Revision Practice Test

GCSE Revision Practice Test

GCSE GCSE Mathematics 3