1. Decimal Fractions questions in SATS Input your name and press send. Next Page

2. 1995 Mathematics Paper A Q16d Next Page 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. 15% of the 80 children chose a guitar. How many children is this? Two marks for correct answer, 1 for correct working.

3. 1995 Mathematics Paper A Q16 Next Page 1.The Year 6 children in a school were asked to choose a musical instrument. This is a pie chart of their choices. 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’

4. 1995 Mathematics Paper A Q16c Next Page 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. There are 80 children in Year 6. Estimate the number of children who chose a violin. Explain how you decided.

5. 1995 Mathematics Paper A Q16 Next Page 1.The Year 6 children in a school were asked to choose a musical instrument. This is a pie chart of their choices. 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’

6. 1995 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? XL File

7. 1996 Mathematics Paper A Next Page Answer key Q14 This diagram shows the proportions of waste by weight a family throws away in one year, CThe 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.

8. 1996 Mathematics Paper A Next Page Q14 This diagram shows the proportions of waste by weight a family throws away in one year, CThe 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%)

9. Next Page 1997 Mathematics Paper B Q20aKelly 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. 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 10/50 Accept other equivalent fractions, eg: 20/100 3+1+3+3 = 10

10. 1999 Mathematics Paper B Q19 Next Page Answers Calculate 7/8 of 5000

11. 1999 Mathematics Paper B Q19 Next Page Calculate 7/8 of 5000 Two 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

12. Mathematics Paper 200 Q13 Next Page Calculate ¾ of 840

13. Mathematics Paper 2000 B Q16 (out of 22) Next Page Answers Calculate 60% of 765.

14. 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

15. 2005 Mathematics Paper A Q Next Page Answers 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? A10 children like chips best. B25% of the children like mashed potatoes best. of the children like roast potatoes best. D12 children like jacket potatoes best. C

16. 2005 Mathematics Paper A Q Next Page 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? A10 children like chips best. Chips = 2 divisions = 8 children = False B25% 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 D12 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

17. Next page 30% of 60 is 2005 Mathematics Paper B Q22a

18. Next page Answer Key 30% of is 60? 2005 Mathematics Paper B Q22b

19. Next page – methods of solving 22a 30% of is 60? 2005 Mathematics Paper B Q22a 30% of 60 is (a)18 Do not accept 18% (b)200 Do not accept 200% If the answer for 23a is 18% AND the answer for 23b is 200%, award ONE mark only in the 23b box.

20. Next page – methods of solving 22b 2005 Mathematics Paper B Q22a 30% of 60 is (a)18 Do 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

21. Next page 2005 Mathematics Paper B Q22a (b)200 Method 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?

22. Next Page 2006 Mathematics Paper A Q11 Match each decimal number to its equivalent fraction. One has been done for you. 0.25 matches with? A B C D

23. Next Page 2006 Mathematics Paper A Q11 Match each decimal number to its equivalent fraction. One has been done for you. 0.4 matches with? A B C D

24. Next Page = solution 2006 Mathematics Paper A Q11 Match each decimal number to its equivalent fraction. One has been done for you. 0.2 matches with? A B C D

25. Next Page 2006 Mathematics Paper A Q11 Match each decimal number to its equivalent fraction. One has been done for you. 0.2 matches with? A B C D

26. 2006 mathematics Paper B Q14 End of papers Calculate ¾ of £15 Answer {Answer using the decimal e.g. £2.10}