WJEC GCSE Mathematics Unit 1: Non-calculator Higher November 2024 question paper 3300U50-1

The table below shows some of the values of y = 2x² + x + 3 for values of x from –2 to 3.

Complete the table by finding the values of y for x = –2 and for x = 2.

Express 945 as a product of its prime factors in index form.

Find the probability that Evan and Jane both hit the centre of the target.

Use your solutions from part (b) to find the dimensions of the rectangle.

You must justify any decisions that you make.

A, B, C and D are points on the circumference of a circle with centre O.

Calculate the value of x.

Circle your answer.

55° 70° 110° 125° 135°

On the graph paper below, draw the region that satisfies all of the following conditions.

Clearly indicate the region that represents your answer.

What is the least possible value of x so that all three conditions are met?

What is the greatest possible value of y so that all three conditions are met?

In a science experiment, Jamil collects the following pairs of data values for two variables, x and y.

Prove that (8n +1)²−3 is always an even number, for all integers n.

You must use an algebraic method.

Megan is a netball player.

She repeatedly attempts to throw the ball through the net.

On each throw, the probability that Megan gets the ball through the net is 0·7. Each throw is independent of any previous throw.

Megan claims that the probability of getting the ball through the net for the first time on either the first or second throw is greater than 90%.

Is Megan correct?

Yes No

You must show all your working.

The following diagram shows a sketch of y = cos x for values of x from 0° to 360°.