Fractions

Write twenty thousand, three hundred and six in figures.

Subtract 435 from 826.

Write 8467·2 correct to the nearest hundred.

Estimate the value of 9·8 × 31·2.

Shade 40% of this shape.

Find the value of each of the following.

60% of 315

3⁵

There are 200 pupils in a school hall.

The pupils are from Year 7 to Year 11.

One of the pupils is chosen at random.

Complete the table below.

How many of the pupils are in Year 10?

Calculate the value of the smaller share.

You must show all your working.

Calculate the value of the smaller share.

You must show all your working.

Abby is asked how many quarters there are in 8.

She writes 8 ÷ 4 = 2.

Explain why Abby’s method is incorrect.

Calculate the following.

You must show all your working.

Express £19.44 as a percentage of £36.

Calculate the following.

You must show all your working.

Express £19.44 as a percentage of £36.

Here are four digits.

7 3 6 5

Write the four digits in the following boxes to form two 2-digit numbers. You need to arrange the four digits so that the product is as small as possible.

You can use each digit only once.

Space for working:

Jemma is asked to work out the following calculation.

10 + 4 × 9

Jemma’s method is 14 x 9 = 126

Explain why Jemma’s method is wrong.

Sion is asked to answer the following question.

How many halves are there in 20?

Sion’s method is 20 ÷ 2 = 10

Explain why Sion’s method is wrong.

Rebecca is asked to find the range of the numbers below.

7 1 20 14 11

Rebecca’s method is 11 − 7 = 4

Explain why Rebecca’s method is wrong.

Stef knows what of Paulo’s number is. Using this information, explain how Stef can work out of Paulo’s number.

A children’s play area contains a large number of coloured balls.

Some are yellow, some are red, some are blue and the others are pink.

A ball is chosen at random from the play area.

Complete the table below to find the probability of choosing a pink ball.

There are 575 blue balls in the play area.

What is the total number of balls in the play area?

Give your answer in hours and minutes.

You must show all your working.

Answer is_{…………........ ……………} hours_{…………........ ……………} minutes.

Evaluate each of the following.

9² × 10³

0·8 × 0·25

13·4 − 2·96

Give your answer as a fraction in its simplest form.

Write the reciprocal of 4 as a decimal.

You must show all your approximations in your working.

Evaluate

Give your answer in its simplest form.

Evaluate 55% of 42·8.

Which one of the following is not equal to a recurring decimal?

Circle the correct answer.

A children’s play area contains a large number of coloured balls.

Some are yellow, some are red, some are blue and the others are pink.

A ball is chosen at random from the play area.

Complete the table below to find the probability of choosing a pink ball.

There are 575 blue balls in the play area.

What is the total number of balls in the play area?

Write the reciprocal of 4 as a decimal.

You must show all your approximations in your working.

Evaluate

Give your answer in its simplest form.

Give your answer in metres.

Express 25 minutes as a percentage of 2 hours 5 minutes.

Write your answer correct to the nearest thousand.

Calculate 4% of £250.

Laura thinks of a number.

What is 50% of Laura’s number?

50% of Laura’s number is_{……………........ ………}

The shape below has a total length of 35 cm. The shape is cut into three parts, A, B and C.

The length of A is of the total length of the shape. The lengths of B and C are in the ratio 1: 6.

Find the length of each part of the shape.

You must show all your working.

Give your answer in metres.

Express 25 minutes as a percentage of 2 hours 5 minutes.

Catrin has a bag containing only apples, bananas and lemons. She has 20 pieces of fruit altogether in her bag. Catrin chooses one piece of fruit at random from her bag.

The probability that she chooses each type of fruit is shown on the probability scale below, where • A represents apple • B represents banana • L represents lemon.

How many apples does Catrin have in her bag?

A number machine is shown below.

For a given INPUT number, there will be an OUTPUT number. The OUTPUT is then put back in the number machine as the next INPUT. This process is then repeated many times.

The first INPUT number is 512.

What will be the first OUTPUT number that is less than 300?

Alice is 9 years younger than Isaac. Nadia is one third of Isaac’s age. Dewi is twice Nadia’s age.

Alice is 27 years old.

What are the ages of Isaac, Nadia and Dewi?

Isaac is_........ years old. Nadia is_........ years old. Dewi is_........ years old.

Shelley thinks of a number.

What is Shelley’s number?

Write 2376 correct to the nearest ten.

Add 643 and 8972.

Calculate one fifth of 335.

Subtract 516 from 894.

Using all of the following digits, write down the smallest possible 4-digit number. 7, 1, 5, 2

How much time has passed between 8:30 a.m. and 2:15 p.m. on the same day?

Shade of the shape below.

In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.

Geraint writes down three different even numbers.

The range of his numbers is 4.

Which three different even numbers did Geraint write down?

You must show all your working.

Calculate the following.

3·5% of 159·8

Write 95 048 in words.

Find the sum of 872 and 59.

Multiply 250 by 5.

Write down all the factors of 18.

The factors of 18 are_........

Circle the correct answer to complete each of the following statements.

0·02 × 0·8 is equal to

0·016 0·16 1·6 0·4 4

1·5% can be written as

Give your answer in its simplest form.

Calculate the value of 3³ ÷ 2².

Give your answer as a decimal.

Some letters are made using only straight lines e.g. T.

Some letters are made using straight lines and curved lines e.g. P. Some letters are made using only curved lines e.g. S. Six cards spell out the name BANGOR.

In a game, the six cards are placed in a bag. One card is chosen at random. The letter on the card is noted and the card is returned to the bag. If the card has a letter on it that is made using only straight lines, the player gains 10 points. A card with any other type of letter gains no points. Leah plays the game 24 times. Do you expect Leah to score a total of 100 points?

You must show all your working.

Circle the correct answer to complete each of the following statements.

0·02 × 0·8 is equal to

0·016 0·16 1·6 0·4 4

1·5% can be written as

Give your answer in its simplest form.

Calculate the value of 3³ ÷ 2².

Give your answer as a decimal.

Express your answer as a fraction.

Add 4571 and 862.

Subtract 643 from 817.

Calculate one quarter of 300.

Gwilym thinks of a number. When he divides his number by 7, he gets an answer of 6.

When he divides his number by 2, what should his answer be?

What percentage of this diagram has been shaded?

Calculate each of the following.

3³ × 10²

0·4 × 0·2

Write your answer as a decimal.

A number line is shown below.

To which number is the arrow pointing?

Calculate each of the following.

3³ × 10²

0·4 × 0·2

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

Match each expression with its value.

The first one has been done for you.

Space for working:

In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing. A rod is 4 yards long and another rod is 1 yards long. What is the total length of these rods in inches?

You must show all your working.

200 young people are taking part in a conference held at Aberystwyth.

One of the young people is chosen at random to be the chairperson.

Complete the table below to find the probability that the person chosen lives outside the

United Kingdom (UK).

How many of the 200 young people live in Mid Wales?

200 young people are taking part in a conference held at Aberystwyth.

One of the young people is chosen at random to be the chairperson.

Complete the table below to find the probability that the person chosen lives outside the

United Kingdom (UK).

How many of the 200 young people live in Mid Wales?

The pie chart below shows the favourite sport of 60 people.

Which is the modal sport?

One person is chosen at random.

What is the probability that this person said swimming is their favourite sport?

How many people said tennis is their favourite sport?

What percentage of the following shape is shaded?

You are given the value of 25% of a number.

Explain how you can find the value of the number.

Explain how you know that is greater than

Calculate each of the following.

Calculate each of the following.

1000 × (the reciprocal of 8)

Write 437·6 correct to 2 significant figures.

Which of the following amounts is larger?

• 15% of £600, OR

You must show all your working.

Larger amount is £_........

A box contains five identical balls numbered 1 to 5 respectively.

One ball is chosen at random from the box. Its number is recorded and the ball is replaced in the box.

This process was carried out 75 times in total.

How many times would you expect an even-numbered ball to have been chosen?

You must show all your working.

Efa thinks of two whole numbers. She multiplies her numbers together. She then adds 12. The answer is 120.

What two numbers could Efa have been thinking about?

Efa’s two numbers could be_{…........ ……} and_{…........ ……}

Jac thinks of a number. 25% of his number is 35.

You must show all your working.

Choose any number.

Show that of 25% of your number = of 20% of your number.

Choose any number.

Show that of 25% of your number = of 20% of your number.

Jonathan writes a whole number on a card.

• The number is between 55 and 83 inclusive.

• The square root of the number is greater than 8 but less than 9.

• The highest common factor (HCF) of 49 and the number is 7.

What number is on Jonathan’s card?

The number on Jonathan’s card is_{………........ ……………..}

Jonathan writes a whole number on a card.

• The number is between 55 and 83 inclusive.

• The square root of the number is greater than 8 but less than 9.

• The highest common factor (HCF) of 49 and the number is 7.

What number is on Jonathan’s card?

The number on Jonathan’s card is_{………........ ……………..}

A bag contains a number of different coloured balls.

A ball is selected at random from the bag. The probability of selecting a blue ball is 0.3.

There are 50 balls in the bag.

How many of them are blue?

Find the whole number that satisfies all of the following conditions.

• It is a whole number between 1 and 100 inclusive. • 10% of the number is greater than 2 but less than 8. • of the number is a square number.

• The number is not a multiple of 4.

Find the value of each of the following.

30% of 275

Find the whole number that satisfies all of the following conditions.

• It is a whole number between 1 and 100 inclusive. • 10% of the number is greater than 2 but less than 8. • of the number is a square number.

• The number is not a multiple of 4.

Circle the correct answer.

Circle the best approximate value for the following calculation.

110 12 11 120 10

Circle the correct answer.

Calculate each of the following.

3⁴ × 10³

5.6 − 3.82

0.2 × 0.3

Calculate 8% of £3.25.

Give your answer correct to 2 decimal places.

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.

Calculate 39% of £576.

Give your answer correct to the nearest whole number.

How many quarters are there in 10?

Circle the fraction that is a recurring decimal.