Interactive Voting - 1997 mathematics paper a

1997 Mathematics Paper A1997 Mathematics Paper AInput your name and press send.Input your name and press send.

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1997 MATHS PAPER A

1997 Mathematics Paper A

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Q1 Put these numbers in order of size starting with the smallest first.

A. 456B. 299C. 901D. 472E. 575


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Q2 Write down the three numbers which divide by 5 with no remainder.

84 85 86

91 92 93

98 99 100

105 106 107


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Q3 What is the missing number?

30 ÷ = 6

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Q3 What is in the missing number?

Keep It Simple Stupid!

30 ÷ ? = 6

6 ÷ ? = 2

6 ÷ 3 = 2

What did you do with 6 and 2 to get 3?

You shared so do the same for the harder numbers: 30 ÷ 6 = 5

30 ÷ = 6


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Q4 A Mel uses an 8-sided spinner. Order os

8

1 2

3

47

6 5

81 2

3

476 5

a num ber lessthan 10

im possib le

the num ber 11unlike ly

the sam e num berthree tim es in a row

even chance

an odd num ber

likely

certa in

1

2

3

A

B

C

D

E

Number 1 should go to letter ?


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Q4 B Mel uses an 8-sided spinner. Order os

8

1 2

3

47

6 5

81 2

3

476 5


im possib le



even chance

an odd num ber

likely

certa in

1

2

3

A

B

C

D

E



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Q4 C Mel uses an 8-sided spinner. Order os

8

1 2

3

47

6 5

81 2

3

476 5


im possib le



even chance

an odd num ber

likely

certa in

1

2

3

A

B

C

D

E



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Q4 Mel uses an 8-sided spinner. Order os

8

1 2

3

47

6 5

81 2

3

476 5


im possib le



even chance

an odd num ber

likely

certa in

1

2

3

A

B

C

D

E

Q5 Draw the reflection of this triangle in the mirror line.


m irror line

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Q5 Draw the reflection of this triangle in the mirror line.


m irror line

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Q6 A number multiplied by itself gives the answer 49.


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2 3 4 5 6 7 8 9

What is the number?

PPT

Q7 A Emma buys these three jars of jam. 1997 Mathematics Paper A

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What is the total cost of the three jars?

Answer in pence.

Q7 B Jack buys one jar of cherry jam for 82p. 1997 Mathematics Paper A

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He pays with a £5 note.How much change does he get in pence?

Two marks for the correct answer.

One mark for working.

Q7 Jack buys one jar of cherry jam for 82p. 1997 Mathematics Paper A

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He pays with a £5 note.How much change does he get in pence?

(b) Award TWO marks for the correct answer of £4.18 OR 418p. up to 2

If the answer is incorrect, award ONE mark for an appropriate calculationsuch as:

· 5.00 – 0.82 = incorrect answer.Accept any clear indication of the distinction between pounds and pence.Accept 4.18 OR £4.18p OR £4 18 OR £4 18p OR 4-18.Accept 418.Incorrect answers include £418 OR 4.18p OR £418p

Q8 A Here are the times of some television programmes. 1997 Mathematics Paper A

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Channel 1 Channel 2

7.00

7.15

9.00

9.30

9.35

10.20

C artoon

F ilm

N ew s

W eather

Sport

D ram a

7.00

7.45

8.30

9.00

10.00

10.40

Local N ew s

Q uiz S how

C om edy

H ospita l D ram a

P op C hart

F ilm

What is showing on Channel 2 at ten minutes to nine?

Q8 B Here are the times of some television programmes. 1997 Mathematics Paper A

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Channel 1 Channel 2

7.00

7.15

9.00

9.30

9.35

10.20

C artoon

F ilm

N ew s

W eather

Sport

D ram a

7.00

7.45

8.30

9.00

10.00

10.40

Local N ew s

Q uiz S how

C om edy

H ospita l D ram a

P op C hart

F ilm

Tom watches Hospital Drama and then changes to Channel 1 at the end.What is showing on Channel 1 when he changes channel?

Q8 A Here are the times of some television programmes. 1997 Mathematics Paper A

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Channel 1 Channel 2

7.00

7.15

9.00

9.30

9.35

10.20

C artoon

F ilm

N ew s

W eather

Sport

D ram a

7.00

7.45

8.30

9.00

10.00

10.40

Local N ew s

Q uiz S how

C om edy

H ospita l D ram a

P op C hart

F ilm

What is showing on Channel 2 at ten minutes to nine?

Ten to nine =

8.50

Q8 B Here are the times of some television programmes. 1997 Mathematics Paper A

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Channel 1 Channel 2

7.00

7.15

9.00

9.30

9.35

10.20

C artoon

F ilm

N ew s

W eather

Sport

D ram a

7.00

7.45

8.30

9.00

10.00

10.40

Local N ew s

Q uiz S how

C om edy

H ospita l D ram a

P op C hart

F ilm

Tom watches Hospital Drama and then changes to Channel 1 at the end.What is showing on Channel 1 when he changes channel?

Q9 A Here are 7 shapes. 1997 Mathematics Paper A

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A

B

C

D

E

F

G

How many of the shapes are octagons?

Mark off using pen tool

OCT = 8 as in 8 legged octopus

Giants Causeway rocks Honeycomb

Q9 B Which two shapes are hexagons? 1997 Mathematics Paper A

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A

B

C

D

E

F

G


Hex from the Greek word for six

How many legs does a bee have?

Greek numbers found in English

1. Mono-2. Di-3. Tri-4. Tetra-5. Penta-6. Hexa-7. Hepta-8. Octa-10. Deca-

Can you give any words that include these?

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Q10 Write what the missing numbers could be 1997 Mathematics Paper A

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6 2 + 9 5 = 757

Answer key

Any two digits which sum to 6, eg 4 + 25 + 16 + 03 + 3 or reversals of these

Each of the two digits must be shown.Accept 0 as one of the digits.

Q11 A Here is a number sequence.What is the missing number?


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Answer key

31 6 10

Q11 B Explain how you worked it out.

(a) 15 OR 19 OR any other number supported by acceptable explanation in part (b)

Accept 15 OR 19 irrespective of explanation in part (b).

(b) Explanation which is consistent with the sequence given in part (a)

If a correct answer to 11a appears and is justified by the explanation, and the box in 11a was left blank, then award the mark for part (a).Do not accept vague or arbitrary explanations such as:‘every time you add you go up’;‘it does the same pattern’;‘the numbers between keep going up’;‘I just guessed’.Accept explanations in the form of numerical indications on the number sequence. Explanation must be sufficiently clear to enable the calculation of missing number.

Q12 A This ring is made of regular pentagons, with sides of 5 centimetres.


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5 cm

What is the length in cm of the outer edge of the ring?


Q12 B Here is part of a new ring.It is made of squares and triangles.


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The pattern is continued to complete the ring.

What is the total number of squares used in the complete

ring?



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Q13 There are 12 pencils in a box.

A school buys 24 boxes.

How many pencils does the school buy?




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Q13 There are 12 pencils in a box.

A school buys 24 boxes.

How many pencils does the school buy?

12 * 24 = 10 * 24 +

2 * 24

12 * 24 = 240 + 48

12 * 24 = 288


Q14a There are Seven number cards are in a bag. .

2 2 3 1 1 6 7

2 4 3 4 5 3 1

Jill takes one card out and finds the total of the two numbers.She then puts the card back in the bag.

This is a graph of Jill’s results after doing this 100 times.

9

8

7

6

5

4

0 10 20 30 40 50

Num ber of tim es chosen

Cardtota ls

G raph of totals of 100 choices

Give the reason why the ‘total 7’ never came up.

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Q14b There are Seven number cards are in a bag. .

2 2 3 1 1 6 7

2 4 3 4 5 3 1



9

8

7

6

5

4

0 10 20 30 40 50


Cardtota ls


Give the reason why the ‘total 6’ came up most often.

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Q14 There are Seven number cards are in a bag. .

2 2 3 1 1 6 7

2 4 3 4 5 3 1



9

8

7

6

5

4

0 10 20 30 40 50


Cardtota ls


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(a) Any response which suggests there is no card with a total of 7, eg: 1

· ‘Because none add up to 7’· ‘Because the totals are more than or less than 7’

Do not accept vague or arbitrary reasons or reiteration of the question, eg:‘She never picked a 7’;‘There’s only one 7’.

(b) Any response which suggests that there are more cards totalling 6 than any other number, eg 1

· ‘6 is the commonest combined total on the cards’· ‘It’s mostly 6 when you add up’· ‘3 cards add up to 6 but there is only one of the others’· ‘More sixes can be made than any other number’

Do not accept vague or arbitrary reasons or reiteration of the question, eg:‘6 was the card she picked’;‘There’s more chance to get a six than a 7’;‘Three of them make 6’;‘6 was most’.


Q15 In the chart any three numbers in a line, across or down, have a total of 18.45

What is the missing number?Hint – do some working out before sending.

Next Page – Answer key2.46 8.61 7.38

1.23

4.92 3.69 9.84

11.07




Q15 In the chart any three numbers in a line, across or down, have a total of 18.45

What is the missing number?

Next Page 2.46 8.61 7.38

1.23

4.92 3.69 9.84

11.07



Award TWO marks for the correct answer of 6.15 up to 2

If the answer is incorrect, award ONE mark for an appropriate calculation such as:· 8.61 + 3.69 = 12.3· 18.45 – 12.3 = incorrect answer.


Q16 What could the four missing digits be?

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10 = 3


Q16 What could the four missing digits be?

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10 = 3

Any set of four digits which make the calculation correct, eg:

3 5 0 1 0 = 3 5Accept 300 ÷ 10 = 30

All four digits must be given.Do not accept

3 0 1 0 = 3This number must always be how many times greater than this number?


Q17a This plan of a garden is made of rectangles and triangles.The area of each rectangle is 12 square metres.

What is the area of the whole garden in metres squared?

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Q17a This plan of a garden is made of rectangles and triangles.The area of each rectangle is 12 square metres.

What is the area of the whole garden in metres squared?

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12

12

12

12

12

Plus 4 triangles (each is worth half a square) i.e. Plus 2 * 12

Final sum = (12 * 5) + (2*12) = 7*12 = 84

1997 Mathematics Paper AQ17b This plan of a garden is made of rectangles and triangles.

The perimeter of the garden is 34 metres.What is the length of the longest side of each triangle (in metres)?


3m

4m

?

1997 Mathematics Paper AQ17b This plan of a garden is made of rectangles and triangles.

The perimeter of the garden is 34 metres.What is the length of the longest side of each triangle (in metres)?

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3m

4m

?

(b) Award TWO marks for the correct answer of 5. up to 2

If the answer is incorrect, award ONE mark for an appropriate calculation

such as:(34 – 6 – 8) ÷ 4 = incorrect

answer.

34 = perimeter

6 = 3m * 2

8 = 4m *2

4 = triangles (long sides)

OR use pythagoras’ theorumhttp://www.mathsisfun.com/pythagoras.html

http://www.mathsisfun.com/pythagoras.html


Q18a Here is a table of temperatures at dawn on the same day.

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Tem peratures ºC

London

M oscow

New York

Paris

Sydney

–4º

–6º

–9º

+6º

+14º

What is the difference in temperature between London and Paris?


Q18b Here is a table of temperatures at dawn on the same day.

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Tem peratures ºC

London

M oscow

New York

Paris

Sydney

–4º

–6º

–9º

+6º

+14º

At noon the temperature in New York has risen by 5°C.What is the temperature in New York at noon?

PPT

Thermom

PPT

-ve_nos


Q19 A school collects money for charity.This chart shows how much has been collected.

Next Page – Answer key TARGET

£3000

£3000

£2500

£2000

£1500

£1000

£500

0

March

Feb

Jan

Dec

Nov

Oct

Sept

A The target is £3000.Estimate how much more money the school needs to reach the target.

B Anil says,The chart shows that we will reach the target in

two months.Use the chart to explain why Anil may be wrong.


Q19 A school collects money for charity.This chart shows how much has been collected.

Next Page TARGET

£3000

£3000

£2500

£2000

£1500

£1000

£500

0

March

Feb

Jan

Dec

Nov

Oct

Sept

A The target is £3000.Estimate how much more money the

school needs to reach the target.

Answer in the range of £600 to £650, inclusive.

B Anil says,The chart shows that we will reach the target in two months.Use the chart to explain why Anil may

be wrong.Explanation which indicates that the amounts raised each

month can vary AND that1the money raised may be either insufficient to reach the target in

2 months or enough to reach the target in 1 month, eg· ‘They could have two months like December’

· ‘In April they might get more money than any month before’Accept appropriate explanations related to the answer

given in 19a, even if this is incorrect.Do not accept vague or arbitrary reasons, eg:

‘They might not get any more money’;‘People have spent all their money on charity’;

‘It’s not enough time’.


Q20a Write a different number in each of these boxes so that the mean of the three numbers is 9.

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XL file


Q20b Write a different number in each of these boxes so that the mode of the five numbers is 11.

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Q21 Kim knows that137 X 28 = 3836

Explain how she can use this information to work out this multiplication.138 X 28

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Q21 Kim knows that137 X 28 = 3836

Explain how she can use this information to work out this multiplication.138 X 28

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Explanation that implies that 28 must be added to 3836, eg:· ‘Just add another 28 on’· ‘Do another 28 on’· ‘It’s an extra 28’· ‘3836 + 28’

Do not accept vague or arbitrary reasons, eg:‘Do the same sum but add 1 to the number’;‘Do a times sum’;‘Just another unit on’.No mark is awarded for giving the answer 3864 without an adequate explanation.


Q22 Strips of paper are each 30 centimetres long.

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30cm

Steve joins strips of paper together to make a streamer.

The strips overlap each other by 5cm.

30cm30cm

5cm 5cm

How long is a streamer made from only 2 strips?




30cm



30cm30cm

5cm 5cm

Sunita makes a streamer that is 280cm long.How many strips does she use?



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30cm



30cm30cm

5cm 5cm

How long is a streamer made from only 2 strips?Correct answer = 55i.e. 30 + 30 – (the overlap of 5) = 60 – 5 = 55



End of paper.

30cm



30cm30cm

5cm 5cm

Sunita makes a streamer that is 280cm long.How many strips does she use? Award TWO marks for the correct answer of

11 (up to 2)If the answer is incorrect, award

ONE mark for appropriate calculation, eg:· 280 – 30 = 250· (250 ÷ 25) + 1 = incorrect answer.

Interactive Voting - 1997 mathematics paper a

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