WJEC GCSE Mathematics Unit 1: Non-calculator Intermediate June 2017 question paper 3300U30-1

Write down the next two numbers in the following sequence.

Find the value of 2x + 7y when x = –3 and y = 10.

Simplify the expression 8k + 3m – 2k – 8m.

Write down 0.4, 15% and in ascending order.

You must show all your working.

Reflect the triangle below in the x-axis.

Translate the triangle below 3 squares to the left and 2 squares down.

A fair, six-sided dice is rolled. What is the probability that a 4 is shown on the dice?

Circle your answer.

50 raffle tickets were sold at a charity event. Sian has a 20% chance of winning the top prize. How many tickets did Sian buy?

Circle your answer.

1 2 4 10 20

A bag contains a mixture of blue beads, yellow beads and pink beads. One bead is taken at random from the bag. The probability that the bead is pink is. Which of the following sets of beads could have been in the bag?

Circle your answer.

Team A and Team B play in a competition.

Team A has nine more points than Team B. Team A has four times as many points as Team B.

How many points does each team have?

Team A:_{……........} points Team B:_{……........} points

David, Jane and Mary are beach inspectors.

Three beaches, Harlech, Rhyl and Porthcawl, are all to be inspected on a certain day. It is decided to share the work so that the inspectors will visit one beach each, chosen at random.

List all the possible different ways they could share the work.

One has been done for you.

David Harlech, Jane Rhyl and Mary Porthcawl

What is the probability that one of the female inspectors will visit Rhyl?

ABCD is a quadrilateral.

Calculate the value of x.

When ABCD is drawn to scale, would the lines AD and BC be parallel or not?

You must justify your answer without using a scale drawing.

You must show all your working.

Given that 54 × 84.2 = 4546.8, write down the exact value of each of the following.

540 × 842 =_........

Ceri has a set of cards.

Each of her cards is labelled North, East, South or West.

Ceri chooses one card at random from her set of cards. Complete the table below to find the probability of Ceri choosing a card labelled West.

Ceri chooses one card at random from her set of cards.

What is the probability that the card is labelled East or South?

Sasha has an identical set of cards. Ceri and Sasha each choose one card at random from their set of cards.

What is the probability that they both choose a card labelled North?

The table below shows some of the values of y = x² – 5x + 2, for values of x from –1 to 5.

Draw the line y = –3 on the graph paper.

Write down the values of x where the line y = –3 cuts the curve y = x² – 5x + 2.

Give your answers correct to 1 decimal place.

Express 700 as a product of its prime factors in index form.

(b)

Explain how this tells you that 33 554 432 is not a square number.

What is the gradient of the line shown in the graph above?

Circle your answer.

A whole number is written on a card.

You are given three clues to help you work out the number on the card.

Clue 1: Double the number is between 8 and 18 inclusive.

Clue 2: The number is a prime number.

Clue 3: The number is not a factor of 100.

What is the number on the card?

You must show all your working.

The number on the card is_{……........ …….}

A group of 20 people visited Anglesey for a weekend break.

• 10 of the group visited Beaumaris Castle. • 13 of the group visited South Stack Lighthouse. • 4 of the group did not visit either of these places.

Complete the Venn diagram below to show this information.

The universal set, , contains all of the 20 people in the group.

One person is chosen at random from the group.

What is the probability that this person visited only one of the two places?

Rashid owned n sheep.

Eifion had exactly 4 times as many sheep as Rashid.

Rashid buys 17 extra sheep. Eifion sells 8 of his sheep.

Eifion still has more sheep than Rashid.

Form an inequality, in terms of n. Solve the inequality to find the least value of n.

You must show all your working.