1 / 26

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

Decimal Fractions questions in SATS Input your name and press send. Next Page. 1995 Mathematics Paper A Q16d. 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.

snana
Download Presentation

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

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

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

  2. 1995 Mathematics Paper A Q16d 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. Next Page Answer Key

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

  4. 1995 Mathematics Paper A Q16c 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. Next Page Answer Key

  5. 1995 Mathematics Paper A Q16 1. The Year 6 children in a school were asked to choose a musical instrument. This is a pie chart of their choices. Next Page There are 80 children in Year 6. Estimate the number of children who chose a violin. Explain how you decided. Pie Chart Demo’ • (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.”

  6. 1995 Mathematics Paper B 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? End of test XL File

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

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

  9. 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. What fraction of the 50 words have more than 6 letters? Write as a fraction in the simplest form e.g. 1/60 3+1+3+3 = 10 • (a) 1/5 OR 10/50 • Accept other equivalent fractions, eg: 20/100 Next Page

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

  11. 1999 Mathematics Paper B Q19 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 Next Page

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

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

  14. Mathematics Paper 2000 B Q16(out of 22) Next Page Calculate 60% of 765. Best method? Use decimal fractions 60% = 0.60 0.6 x 765 = 459 1% of 765 = 7.65 60 lots of 1% = 60 x 7.65 = 459

  15. 2005 Mathematics Paper A Q 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? A 10 children like chips best. B 25% of the children like mashed potatoes best. C of the children like roast potatoes best. D 12 children like jacket potatoes best. Next Page Answers

  16. 2005 Mathematics Paper A Q 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? Next Page 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 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 C 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

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

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

  19. 2005 Mathematics Paper B Q22a 30% of 60 is 30% of is 60? (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%, awardONE mark only in the 23b box. Next page – methods of solving 22a

  20. 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 Next page – methods of solving 22b

  21. 2005 Mathematics Paper B Q22a 30% of is 60? (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 Next page

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

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

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

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

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

More Related