date: time: total marks available: total marks achieved: · 06/06/2015 · total marks available:...

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Questions 1-11 Non Calculator Questions 12-21 Calculator

Questions Q1.

Margaret is going to have a meal. She can choose one starter and one main course.

Write down all the possible combinations Margaret can choose.

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(Total for Question is 2 marks)

Q2.

Jack and Graham each recorded the time, in minutes, they each spent sending messages on Thursday, on Friday, on Saturday and on Sunday last week.

(a) How many minutes did Graham spend sending messages on Saturday?

........................................................... minutes

(1)

(b) On which day did Jack spend exactly 25 minutes sending messages?

........................................................... minutes

(1)

*(c) Who spent the greater total time sending messages?

You must show your working.

(3)


Q3.

Felicity asked 100 students how they came to school one day. Each student walked or came by bicycle or came by car.

49 of the 100 students are girls. 10 of the girls came by car. 16 boys walked. 21 of the 41 students who came by bicycle are boys.

Work out the total number of students who walked to school.

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Q4.

Alison wants to find out how much time people spend reading books. She is going to use a questionnaire.

Design a suitable question for Alison to use in her questionnaire.

Q5.

5600 copies of the Village Advertiser are printed each week.

(a) Write the number 5600 in words.

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

(1)

People have to pay to have an advert in the Village Advertiser.

Each advert is in the shape of a rectangle.

The table gives information about the cost of having an advert in the Village Advertiser.

A Size 2 advert is a 90 mm by 35 mm rectangle.

(b) In the space below, draw a 90 mm by 35 mm rectangle.

(2)

David has this advert in the Village Advertiser for 2 weeks. The advert is accurately drawn.

(c) What is the total cost of the advert for 2 weeks?

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

(3)

Raja wants to have a Size 2 advert in the Village Advertiser for 8 weeks. He has £100 to spend.

(d) Show that Raja does not have enough money to pay for the advert for 8 weeks. You must show all your working.

(2)


Q6.

Ed has 4 cards. There is a number on each card.

The mean of the 4 numbers on Ed's cards is 10

Work out the number on the 4th card.

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Q7.

There are 40 people at a meeting. Each person travelled to the meeting either by car or by train.

13 of the people are male. 10 females travelled by train. 8 males travelled by car.

Work out the total number of people who travelled by car.

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Q8.

The table gives information about the results of the matches a football team played.

Draw an accurate pie chart to show this information.


Q9.

The stem and leaf diagram shows some information about the speeds of 25 cars.

(a) How many of the 25 cars had a speed of more than 50 miles per hour?

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

(1)

(b) Find the median speed.

. . . . . . . . . . . . . . . . . miles per hour

(1)

(c) Work out the range of the speeds.

. . . . . . . . . . . . . . . . . miles per hour

(2) (Total for Question is 4 marks)

Q10.

Harry asked each student in his class how they travelled to school that day. He used the results to draw this pie chart.

(a) How did most of the students travel to school?

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(1)

Harry asked a total of 24 students.

(b) Work out the number of students who cycled to school.

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(2)


Q11.

(a) The probability scale shows the probability that a spinner will land on red. It also shows the probability that the spinner will land on blue.

Tony says the spinner is more likely to land on blue than on red. Is he right? Explain your answer.

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

(1)

(b) There are 3 white counters and 4 black counters in a box.

Jenny is going to take at random a counter from the box. (i) Write down the probability that Jenny will take a black counter.

.............................................................................................................................................. (ii) Write down the probability that Jenny will take a yellow counter.

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(2)


Q12.

The table gives information about the prices and the features of five mobile phones.

The ticks ( ) in the table show the features of each phone.

(a) Which of the five mobile phones is the most expensive?

.............................................................................................................................................. (1)

(b) Which of the mobile phones have MP3?

.............................................................................................................................................. (1)

(c) Which mobile phone has Video but not FM Radio?

.............................................................................................................................................. (1)

Mirza has a monthly plan for his mobile phone. Each month, he pays a total of £9.79 plus the cost of any extra minutes.

Monthly Plan For £9.79 per month you get: 100 minutes and unlimited texts. Extra minutes: 24.5p each

Last month, Mirza used 112 minutes.

(d) Work out how much he paid in total last month.

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

(4)


Q13.

* Mr and Mrs Jones are planning a holiday to the Majestic Hotel in the Cape Verde Islands.

The table gives information about the prices of holidays to the Majestic Hotel.

Mr and Mrs Jones are thinking about going on holiday

on 20 February for 7 nights on 10 April for 14 nights.

Mr and Mrs Jones have 2 children.

Compare the costs of these two holidays for the Jones family.


Q14.

* 14 students did a history test.

Here are the results.

Girls 3 8 2 4 3 4 4 6

Boys 3 6 3 3 1 4 Adele says, "The range of the girls' marks is 1 more than the range of the boys' marks." Is Adele right? You must show your working.


Q15.

A shop sells birthday cards. Each card has a code on it.

The table shows each code and the price of the card.

Code Price (£)

A 1.15

B 1.45

C 1.99

D 2.49

E 2.99

Ritu buys a card. The card has code B on it.

(a) Write down the price of the card.

.............................................................................................................................................. (1)

Mark buys two cards.

One card has code A on it. The other card has code D on it.

(b) Work out the total amount Mark pays for the two cards.

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Jennifer buys two cards. The two cards have a total cost of £3.94

(c) Write down the code on each card Jennifer buys.

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Q16.

(a) Dan is doing a survey to find out how much time students spend playing sport. He is going to ask the first 10 boys on the register for his PE class.

This may not produce a good sample for Dan's survey. Give two reasons why. Reason 1

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Reason 2

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(2)

(b) Design a suitable question for Dan to use on a questionnaire to find out how much time students spend playing sport.

(2)


Q17.

A survey was carried out for a magazine. 90 cat owners were asked to write down the make of cat food their cats liked best.

The bar chart shows information about the results.

This statement was in the magazine.

'1 out of 6 cats like Coolkat best'.

(a) Is the statement right? You must explain your answer.

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(1)

The information in the bar chart is going to be shown in a pie chart.

(b) Use the information in the bar chart to complete the pie chart.

(3)


Q18.

Dara has four number cards. Each card has a positive whole number on it. Dara puts the cards on a table so that the numbers are in order, starting with the smallest number.

Two of the cards are turned over and you cannot see the numbers on them.

The median of the four numbers is 5

(i) Complete the cards below to show two numbers that could be on the cards that are turned over.

(ii) Complete the cards below to show two other numbers that could be on the cards that are turned over.

(Total for question = 2 marks)

Q19.

Here is the number of goals scored by a football team in each of its first 10 games.

3 1 4 2 0 1 1 1 3 2

(a) Write down the mode.

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(1)

(b) Work out the mean number of goals for the first 10 games.

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(2)

In the 11th game the team scored 4 goals. In the 12th game the team scored 2 goals.

*(c) Will the mean number of goals for the 12 games be greater than or less than the mean number of goals for the first 10 games? You must explain your answer.

(2)


Q20.

There are 3 counters in a bag. One counter is red. One counter is green. One counter is blue. Mike takes at random a counter from the bag. He puts the counter back in the bag. Then Ellie takes at random a counter from the bag. (a) Is Ellie more likely to take a blue counter from the bag than Mike? You must explain your answer.

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(1)

(b) Write a list of all the possible combinations of the two counters that Mike and Ellie can take.

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(2)

(c) Find the probability that Mike takes a blue counter and then Ellie takes a green counter.

.............................................................................................................................................. (1)


Q21.

Beth recorded the temperature, in degrees (°C), inside her greenhouse every hour on one day.

The graph shows information about her results.

(a) Write down the temperature at 11 am.

............................°C (1)

(b) Write down the highest recorded temperature.

............................°C (1)

(c) Describe the change in temperature from 12 noon to 4 pm.

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(1)

Mark Scheme Q1.

Q2.

Q3.

Question Working Answer Mark Notes

Eg. How many hours do you read each day? 0 to 1 h

over 1 h to

2 h over 2

2 B1 for an appropriate question with reference to a time frame, with a unit of time, or a question with a time frame, with a unit of

h

time, implied by responses B1 for at least 3 non-overlapping boxes (ignore if not exhaustive) or for at least 3 exhaustive boxes (ignore if any overlapping) [Note: labels on response boxes must not be inequalities] Do not accept frequency tables or data collection sheets for award of the second B mark

Q4.

Q5.

Q6.

Q7.

Q8.

Q9.

Q10.

Q11.

Q12.


(a) (b) (c) (d)

Pixar Pixar, Tacco

Crystal 12.73

1 1 1 4

B1 cao B1 cao B1 cao M1 for 112-100 or 12 seen M1 for 24.5 ×'12' or sight of digits 294 Do not allow '12' to be 100. M1 (dep on one prior M1) for 9.79+'2.94' A1 cao

Q13.


* 714 × 2 =1428 714 × 0.95 = 678.30 678.30 × 2 = 1356.60 1428 + 1356.60 = 2784.60 802 × 2 = 1604 802 × 0.85 = 681.70 681.70 × 2 = 1363.40 1604 + 1363.40 = 2967.40

Comparison

5 B1 for identifying 714 and 802 M1 for 95⁄100 ×'714' oe or 85⁄100 ×'802'oe M1 for 2 × 'adult' + 2 × 'child' oe for at least on e holiday A1 for 2784.6(0) and 2967.4(0) or 2785 and 2967 C1 for comparing the costs of their two holidays for 2 adults and 2 children and clearly indicating which is cheaper. Conclusion must clearly follow from working. QWC: Decision and justification should be clear with working clearly presented and attributable. (allow full marks for a candidate who has calculated the cost per day for each holiday (397.8(0) and 211.95(7..)) and

compares these costs accordingly.)

Q14.

Q15.

Q16.

Q17.

Q18.

Q19.

Q20.

Q21.

date: time: total marks available: total marks achieved: · 06/06/2015 · total marks available:...

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