WordPress.com



Name…………………………………………………………………......

GCSE Group……………………………………………………………..

Number - Fractions and Percentages

1. Here are two fractions [pic] and [pic]

Which is the larger fraction?

You must show your working to explain your answer.

You may use the grids to help with your explanation.

[pic] [pic]

.................... is the larger fraction

(Total 3 marks)

2. (a) Work out [pic]

....................................

(2)

(b) Work out [pic]

....................................

(1)

(c) Work out [pic]

....................................

(1)

3. (a) Work out the value of [pic] × [pic]

Give your answer as a fraction in its simplest form.

……………...............

(1)

(b) Work out the value of 1[pic] + 2[pic]

Give your answer as a fraction in its simplest form.

……………...............

(Total 3 marks)

(c) Work out 5[pic] – 2[pic]

Give your answer as a fraction in its simplest form.

………………………

(Total 3 marks)

4. Asif, Barbara and Curtly share some money.

Asif receives [pic] of the money.

Barbara receives [pic] of the money.

What fraction of the money does Curtly receive?

…………………

(Total 3 marks)

5. Some students each chose one PE activity.

[pic] of the students chose swimming.

[pic] of the students chose tennis.

All the rest of these students chose cricket.

What fraction of the students chose cricket?

.................................

(Total 3 marks)

6. (a) Work out 35% of 240

....................................

(Total 2 marks)

(b) Find 15% of £200

£ ..................................

(Total 1 mark)

7. Mary scored 14 out of 20 in a test.

Find 14 out of 20 as a percentage.

.......................... %

(Total 2 marks)

8. Wayne bought an engagement ring for Tracy.

The total cost of the ring was £420 plus VAT at 17[pic]%.

[pic]

(a) Work out the cost of the ring.

£ …………………………

(2)

Wayne invited 96 people to an engagement party.

Only 60 of the people invited came to the party.

(b) Express 60 as a percentage of 96.

………………………… %

(2)

(Total 4 marks)

9. A can of drink costs 32p.

The cost of the can of drink is increased to 38p.

Jenny calculates that this is a percentage increase of 19%.

Is Jenny’s percentage correct?

You must show how you reached your decision.

(Total 3 marks)

10. The price of a DVD player was £120

In a sale, the price is reduced by 35%.

Work out the sale price of the DVD player.

£ ............................................

(Total 3 marks)

11. Ann buys a dress in a sale.

The normal price of the dress is reduced by 20%.

The normal price is £36.80

Work out the sale price of the dress.

£ ..........................

(Total 3 marks)

12. Ben bought a car for £12 000.

[pic]

Each year the value of the car depreciated by 10%.

Work out the value of the car two years after he bought it.

£ ………………….

(Total 3 marks)

Data handling - Probability

13. The probability that a biased dice will land on a four is 0.2

Pam is going to roll the dice 200 times.

Work out an estimate for the number of times the dice will land on a four.

.........................

(Total 2 marks)

14. A school snack bar offers a choice of four snacks.

The four snacks are burgers, pizza, pasta and salad.

Students can choose one of these four snacks.

The table shows the probability that a student will choose burger or pizza or salad.

|Snack |burger |pizza |pasta |salad |

|Probability |0.35 |0.15 | |0.2 |

One student is chosen at random from the students who use the snack bar.

(a) Work out the probability that the student

(i) did not choose salad,

.................................

(ii) chose pasta.

.................................

(3)

300 students used the snack bar on Tuesday.

(b) Work out an estimate for the number of students who chose pizza.

.................................

(2)

(Total 5 marks)

15. Joe rolls a 6-sided dice and spins a 4-sided spinner.

The dice is labelled 1, 2, 3, 4, 5, 6

The spinner is labelled 1, 2, 3, 4

[pic]

Joe adds the score on the dice and the score on the spinner to get the total score.

He records the possible total scores in a table.

|+ |1 |2 |3 |4 |5 |6 |

|1 |2 |3 |4 |5 |6 |7 |

|2 |3 | | | | | |

|3 |4 | | | | | |

|4 |5 | | | | | |

(a) Complete the table of possible total scores.

(2)

(b) Write down all the ways in which Joe can get a total score of 5

One of them has been done for you.

(1, 4), .....................................

(2)

(c) Write down all the ways Joe can get a total score of 8 or more.

…………………......................................

(2)

(Total 6 marks)

16. Richard has a box of toy cars.

Each car is red or blue or white.

3 of the cars are red.

4 of the cars are blue.

2 of the cars are white.

Richard chooses one car at random from the box.

Write down the probability that Richard will choose a blue car.

……………………

(Total 2 marks)

17. Loren has two bags.

The first bag contains 3 red counters and 2 blue counters.

The second bag contains 2 red counters and 5 blue counters.

Loren takes one counter at random from each bag.

Complete the probability tree diagram.

[pic]

(Total 2 marks)

18. There are two sets of traffic lights on Georgina’s route to school.

The probability that the first set of traffic lights will be red is 0.4

The probability that the second set of traffic lights will be red is 0.3

(a) Complete the probability tree diagram.

[pic]

(2)

(b) Work out the probability that both sets of traffic lights will be red.

.....................................

(2)

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download