Decimal Fractions questions in SATS

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1995 Mathematics Paper A Q16d

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Answer Key

1. The Year 6 children in a school were asked to choose a musical instrument. This is a pie chart of their choices.

G uitar

Vio linRecorder

Trum petD rum

Keyboard

15% of the 80 children chose a guitar.How many children is this?

Two marks for correct answer, 1 for correct working.

1995 Mathematics Paper A Q16

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1. The Year 6 children in a school were asked to choose a musical instrument. This is a pie chart of their choices.

G uitar

Vio linRecorder

Trum petD rum

Keyboard

15% of the 80 children chose a guitar.

How many children is this?

(d) Award TWO marks for the correct answer of 12, even if there are errors in the working.

Award ONE mark if the answer is incorrect, but there is evidence of an attempt to calculate 15% of 80 by any method, eg:

· 15/100 × 80 = (incorrect answer given)· 10% of 80 = 8, 5% is 4, so 15% of 80 = (incorrect answer given)· 1% of 80 = 80/100 = 4/5, so 15% = 4/5 × 15 = (incorrect answer given)

The writing of “15/100 × 80” (or equivalent) alone is not sufficient evidence of an attempt to calculate.

Pie Chart

Demo’

1995 Mathematics Paper A Q16c

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Answer Key

1. The Year 6 children in a school were asked to choose a musical instrument. This is a pie chart of their choices.

G uitar

Vio linRecorder

Trum petD rum

Keyboard

There are 80 children in Year 6.Estimate the number of children who chose a

violin. Explain how you decided.

1995 Mathematics Paper A Q16

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1. The Year 6 children in a school were asked to choose a musical instrument. This is a pie chart of their choices.

G uitar

Vio linRecorder

Trum petD rum

Keyboard

There are 80 children in Year 6.

Estimate the number of children who chose a violin. Explain how you decided.

(c) The explanation should make reference, in some form, to appropriate fractional estimates, eg:

·“Because it looks like a quarter of a half and that’s 10.”“I thought the violin looked like half the trumpet and that was about a quarter.”“I decided this because 1/4 was 20 children, so I halved 20 and made it 10.”

Explanations which lack specific reference to appropriate fractions should not be awarded the mark, eg:

“Because it’s a bit less than the trumpet.”“Because there are 6 parts to the pie chart.”

Pie Chart

Demo’

1995 Mathematics Paper B1995 Mathematics Paper B

End of test

Q18b.

Mrs Binns gets a total of £1000 and Mr Adams gets a total of £800.How much more does Mrs Binns get than Mr Adams for selling peaches?

bananas

bananas

oranges

oranges

peaches peachesapples

apples

M rs B inns M r A dam s

XL File

1996 Mathematics Paper A

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Q14 This diagram shows the proportions of waste by weight a family throws away in one year,

Glass and M etal

Plastic

Other m aterial

Organic

Paper and C ard

C The family throws away 130 kg of paper and card.

70% of this is newspapers.What is the weight of newspapers in kg?

Two marks for correct answer, 1 for correct working.

1996 Mathematics Paper A

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Q14 This diagram shows the proportions of waste by weight a family throws away in one year,

Glass and M etal

Plastic

Other m aterial

Organic

Paper and C ard

C The family throws away 130 kg of paper and card.

70% of this is newspapers.What is the weight of newspapers in kg?

1% of 130 kg = 1.3kg

10% of 130 kg = 13kg

70% = 100% - 30% so

30% of 130kg = 39kg

70% = 100% - 30% so

70% = ?kg

(You could get the same answer by finding 10% and multiplying it by 7 to get 70%)

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1997 Mathematics Paper B

Q20a Kelly chooses a section of a newspaper.It has 50 words in it.

She draws a bar chart of the number of letters in each word.

12

10

8

6

4

2

01 2 3 4 5 6 7 8 9 10

num berof words

num ber of letters in word

N ew spaper w ords

What fraction of the 50 words have more than 6 letters? Write as a fraction in the simplest form e.g. 1/60

(a) 1/5 OR 10/50Accept other equivalent fractions, eg: 20/100

3+1+3+3 = 10

1999 Mathematics Paper B Q19

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Answers

Calculate 7/8 of 5000

1999 Mathematics Paper B Q19

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Calculate 7/8 of 5000Two approaches:

Find 1/8 of 5000 then multiply to get 7/8

5000 ÷ 8 = 625

625 x 7 = 4375

Second approach: use decimal fractions 7/8 = 0.875

0.875 x 5000 = 4375

Mathematics Paper 200 Q13

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Calculate ¾ of 840

Mathematics Paper 2000 B Q16(out of 22)

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Calculate 60% of 765.

Mathematics Paper 2000 B Q16(out of 22)Next Page

Calculate 60% of 765.

Best method?

1% of 765 = 7.65

60 lots of 1% = 60 x 7.65

= 459

Use decimal fractions

60% = 0.60

0.6 x 765

= 459

2005 Mathematics Paper A Q

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This pie chart shows how the children in Class 6 best like their potatoes cooked.

32 children took part in the survey.Look at the four statements below.Which ones are true?

5

1

A 10 children like chips best.

B 25% of the children like mashed potatoes best.

of the children like roast potatoes best.

D 12 children like jacket potatoes best.

C

2005 Mathematics Paper A Q

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This pie chart shows how the children in Class 6 best like their potatoes cooked.

32 children took part in the survey.Look at the four statements below.Which ones are true?

5

1

A 10 children like chips best. Chips = 2 divisions = 8 children = False

B 25% of the children like mashed potatoes best.Two sections = 1 quarter = 25% = True

of the children like roast potatoes best.1 section prefer roast = 1/8 = False

D 12 children like jacket potatoes best.3 sections = 3 x 4 = 12 = True

C

How much is each section worth?

Clue: the pie is divided into 8 sections – divide 32 by 8

Answer = 4

Each section is worth 4

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30% of 60 is

2005 Mathematics Paper B Q22a

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30% of is 60?

2005 Mathematics Paper B Q22b

Next page – methods of solving 22aNext page – methods of solving 22a

30% of is 60?

2005 Mathematics Paper B Q22a

30% of 60 is

(a) 18Do not accept 18%(b) 200Do not accept 200%If the answer for 23a is 18% AND the answer for 23b is 200%, awardONE mark only in the 23b box.

Next page – methods of solving 22bNext page – methods of solving 22b

2005 Mathematics Paper B Q22a

30% of 60 is

(a) 18Do not accept 18% Method 1: use decimal fractions & calculator

30% = 0.30

0.30 x 60 = 18

Method 2: Find 1% and multiply

1% of 60 = 0.6

30 lots of 1% = 30 x 0.6 = 18

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2005 Mathematics Paper B Q22a

(b) 200Method 1: use decimal fractions & calculator

30% = 0.30

0.30 x ?? = 60 rearrange 0.30 x 60 = ?? = 200

Method 2: Find 1% and multiply

30% = 60 so 10% = 20 and 1% = 2

100 lots of 1% = 2 x 100 = 200

30% of is 60?

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2006 Mathematics Paper A Q112006 Mathematics Paper A Q11

Match each decimal number to its equivalent fraction.One has been done for you.

0.25

0.4

0.75

0.2

34

210

14

25

0.25 matches with?

A

B

C

D

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2006 Mathematics Paper A Q112006 Mathematics Paper A Q11

Match each decimal number to its equivalent fraction.One has been done for you.

0.25

0.4

0.75

0.2

34

210

14

25

0.4 matches with?

A

B

C

D

Next Page = solution

2006 Mathematics Paper A Q112006 Mathematics Paper A Q11

Match each decimal number to its equivalent fraction.One has been done for you.

0.25

0.4

0.75

0.2

34

210

14

25

0.2 matches with?

A

B

C

D

Next Page

2006 Mathematics Paper A Q112006 Mathematics Paper A Q11

Match each decimal number to its equivalent fraction.One has been done for you.

0.25

0.4

0.75

0.2

34

210

14

25

0.2 matches with?

A

B

C

D

2006 mathematics Paper B Q14

End of papers

Calculate ¾ of £15

Answer {Answer using the decimal e.g. £2.10}