WJEC GCSE Mathematics Unit 1: Non-calculator Intermediate November 2020 question paper 3300U30-1

What is the time 8 hours and 40 minutes after 11:38?

What is the time difference between 7:35 a.m. and 2:15 p.m. on the same day?

Give your answer in hours and minutes.

Time difference is_{……........ …….} hours and_{……........ …….} minutes.

Evaluate the time difference between 7 minutes 15 seconds and 2 minutes 50 seconds.

Give your answer in seconds.

Time difference is_{……........ …….} seconds.

Draw the line x = − 4 on the grid below.

C is a point on the grid below so that: • BAC = 90°, • AC = AB.

Show the position of point C on the grid.

Write down the coordinates of point C.

Calculate each of the following.

3³ × 10²

0·4 × 0·2

Write down the value of 0·0493, correct to 1 significant figure.

300 students were asked if they would like to change their school’s dinner menu.

The pie chart below shows how they answered.

Complete the table below to show the number of students who gave each answer.

Solve the equation 4 x + 7 = 10.

Simplify 8d – 6e – 3d + 4e.

PQ and RS are parallel.

Find the values of a, b and c.

In the diagrams below, ABCD is a square.

Triangles ABE and KLM are congruent.

Calculate the area of the square ABCD.

Two sides of a parallelogram ABCD are drawn accurately below. Using only a ruler and a pair of compasses, complete an accurate drawing of the parallelogram.

You must show all your construction arcs.

The line XY below forms part of a scale drawing of a garden. The scale drawing has a scale of 1:200.

What is the actual distance between point X and point Y in the garden?

Give your answer in metres.

Actual distance between point X and point Y =_{……………........ ….…………} metres

You are given that 543 × 17 = 9231.

What is the value of 5·43 × 1·7?

Circle the correct answer.

0·9231 9·231 92·31 923·1 9231

Circle the correct answer.

0·17 1·7 17 170 1700

Circle the correct answer.

0·1 1 10 100 1000

Write an expression for the n th term of the following sequence.

The first four diagrams in a sequence are shown below.

Diagram 1 Diagram 2 Diagram 3
Diagram 4

Complete the following subtraction.

The first three diagrams in another sequence are shown below.

Give an expression, in terms of n, for the number of dots (●) in Diagram n.

You must simplify your expression.

On each Venn diagram, shade the region that represents the given set.

A sum of money is shared in the ratio 3: 4: 7.

The smallest share is £210. What is the total amount of money shared?

You must show all your working.

The table below shows some of the values of y = x² − 4x − 3 for values of x from –2 to 5.

Complete the table by finding the value of y for x = −2 and the value of y for x = 2.

On the graph paper opposite, draw the graph of y = x² − 4x − 3 for values of x from

–2 to 5.

Draw the line y = 1 on the graph paper.

Write down the values of x where the line y = 1 cuts the curve y = x² − 4x − 3.

Values of x are_........ and_........

Find four different positive whole numbers so that:

• their mean is 8, • their range is 8, • their median is 8.

Write your four numbers in the boxes below.

Factorise x² – 7x + 12, and hence solve x² – 7x + 12 = 0.

Expand and simplify (5x – 2)².

Alice works for an engineering company.

A working day is chosen at random. From keeping a record over the last year, Alice knows that, for this working day,

• the probability that she travels to work by car is 0·7, • the probability that she arrives at work before 8:00 a.m. is 0·4, • her time of arrival is independent of how she travels to work.

Using the above information, draw and fully label a complete tree diagram.

You must include all probabilities.

What is the probability that, on the randomly-chosen working day, Alice travels to work by

car and arrives before 8:00 a.m.?

A circle, centre O, has a radius of 4 cm. A and B are points on the circumference of the circle. Lines PA and PB are both tangents to the circle. PB = 12 cm.

What is the length of PA?

State the circle theorem you have used to find your answer.

Circle theorem:_{……........ ……..}

What is the size of PAO ?

State the circle theorem you have used to find your answer.

Circle theorem:_{……........ ……..}

Calculate the area of the quadrilateral PAOB.