Maths Assessment Grade 6: Fractions - PDF

Name: Maths Assessment Grade 6: Fractions Th.is a.ssessment section is in two pa.rts. Section A 1. Use common factors to simpl1y fractions; use common multiples to express fractions in the same denomination. 2. Compare and order fractions, including fractions > 1. 3. Add and subtract...

Name: Maths Assessment Grade 6: Fractions Th.is a.ssessment section is in two pa.rts. Section A 1. Use common factors to simpl1y fractions; use common multiples to express fractions in the same denomination. 2. Compare and order fractions, including fractions > 1. 3. Add and subtract fractions with d1ferent denominators and mixed numbers, using the concept of equivalent fractions. 4. Multiply simple pairs of proper fractions, writing the answer in its simplest form. 5. Divide proper fractions by whole numbers. Section B 1. Associate a fraction with division and calculate decimal fraction equivalents. 2. Ident1y the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places. 3. Multiply one-digit numbers with up to two decimal places by whole numbers. 4. Use written division methods in cases where the answer has up to two decimal places. 5. Solve problems which require answers to be rounded to specifted degrees of accuracy. 6. Recall and use equivalences between simple fractions, decimals and percentages, including in d1ferent contexts. ©twinkl.co.za You may photocopy this page. Name: Date: section A marks Maths Assessment Grade 6: Fractions - Section A 1. Use common factors to simplif fractions; use common multiples to express fractions in th.e same denomination. a) Simplif th.ese fractions: 5 q 12 "'io 5 marks b) Identif th.e equivalent fraction, using th.e denominators sh.own: 2 "'io = 5 8 2 = 4 q 12 = 8 5 = 3 10 12 = T 5 marks 2. Compare and order fractions, including fractions > 1. a) Put th.ese fractions in order, from smallest to largest: [ 4 3 1 ! 1 4 1 14 1 2 ] [ smallest largest ] [ 1T 1 13 1 5 T T 1 2 3 1 3 ] smallest largest ] Totiil for this page ©twinkl.co.za You may photocopy this page.  ( ) 1 3 4 4 1 5 "io 5 "io 5 5 "io ( smallest ) largest ( ) 4 3 12 5 q 4 8 4 8 4 8 4 ( smallest ) largest 2 marlts b) Use th.e s mbols < > or = to compare each. pair of fractions: or= 1 6 3 1 6 T 3 1 "io 5 5 1 wh.ole 5 3 5 4 8 5 11 6 12 3. Add and subtract fractions with. d1ferent denominators and mixed numbers, using th.e concept of equivalent fractions. a) Complete th.ese addition calculations. Write th.e answer in its simplest form, using mixed numbers wh.ere needed. 4 4 + 12 = 6 = 3 1 5 + "io..1.. + 1 T = 4 1 4 + 2...!.. 8 = 2 -¾- + = Totiil for this page ©twinkl.co.za You may photocopy this page.  b) Complete these subtraction calculations. Write the answer in its simplest form, using mixed numbers where needed. 4 - 2 3 1 = 1 3 1 - 6 2 = 1 1 - ffi 3 = 2+ - 1 ffi 2 = 2 -¾- - 1 4 = 5 marlts 4. Multiply simple pairs of proper fractions, writing the answer in its simplest form. a) Match up these calculations to their correct answer: 3 2 X 2 1 = 1 6 2 1 X 3 1 = 1 4 2 1 X 4 1 = 1 8 8 6 X 3 1 = 1 3 4 marlts b) Answer these calculations: 4 1 X 2 1 = 2 1 X 3 1 = 1 X 2 1 = 2 X 2 1 = 4 marlts 5. Divide proper fractions by whole numbers. a) Draw a line to match up each calculation to its correct answer: 2 = 4 6 8 4 3 6 = 1 3 2 = 8 1 ffi 4 4 = 8 2 8 5 Totiil for this page ©twinkl.co.za You may photocopy this page.  b) Answer th.ese calculations: 4 3 3 = 1 4 2 = 2 = 4 6 3 2 4 = 4 maril.s Totiil for this page ©twinkl.co.za You may photocopy this page. Name: Date: sectlon B marks Maths Assessment Grade 6: Fractions - Section B 1. Associate a fraction with division and calculate decimal fraction equivalents for a simple fraction. a) Find + of 160, showing the calculation(s) you would use: b) Find + of 99, showing the calculation(s) you would use: c) Convert ½ to a decimal: d) Convert 0.75 to a fraction, where the denominator is 12. 1 mark 2. Ident1y the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places. a) In the numbers below, circle the digit that is worth the amount written in words: 42.443 Four tenths 824.887 Eight hundredths 971.977 Seven thousandths 56.545 Five tenths 2.262 Two thousandths 5 marks Totiil for this page ©twinkl.co.za You may photocopy this page.  b) Write the value of the digit that is underlined: 17.2.9. 32.161 55. 24 67.13 98.8.9. 5 marlts c) Fill in the missing numbers in these calculations: 2.31 X I = 23 100 46 X I 100 = 4.46 X I = 446 X I 10 = 78.71 7.825 X I 1 000 = 5 marlts d) Fill in the missing numbers in these calculations: 10 = 1.54 429 100 1000 1.392 3988 100 8.67 = 0.867 5 marlts Totiil for this page ©twinkl.co.za You may photocopy this page. 3. Multiply one-digit numbers with up to two decimal places by whole numbers. a) Calculate 13 x 7.8. 1 mark b) Calculate 2.33 x 8. 1 mark 4. Use written division methods in cases where the answer has up to two decimal places. a) Use a written method to calculate the answer to this. Show your worRing out. 238 + 8 = 2 marlts b) Use a written method to calculate the answer to this. Write the remainder as a decimal. Show your worRing out. 357 + 4 = Totiil for this page ©twinkl.co.za You may photocopy this page. 5. Solve problems wh.ich. require answers to be rounded to specgied degrees of accuracy. a) A baRer h.as made 494 caRes wh.ich. need to be pacRed into caRe boxes. Each. box can h.old 6 CaReS. How many boxes are needed to h.old all of th.e caR.es? b) Ash.a is using ribbon for a craft project. Sh.e h.as 1.1 metres of fabric, wh.ich. cuts into equal strips wh.ich. each. measure 10.5cm. How many wh.ole strips of fabric can sh.e cut? 2 marlts c) Jacob is ftlling party bags with. sweets for h.is birth.day party. He h.as 233 sweets in total. He needs to put 20 sweets in each. bag. How many bags can h.e ftll? 2 marlts d) Soph.ie is buying caR.es to sh.are with. h.er friends at a picnic. Sh.e is going to give each. friend 1/8 of a wh.ole caR.e. Th.ere will be 20 people at th.e picnic in total. How many caRes does Soph.ie need to buy? Totiil for this page ©twinkl.co.za You may photocopy this page. 6. Recall and use equivalences between simple fractions, decimals and percentages, including in dijJerent contexts. a) Fill in the missing information in this chart, to ident1y the equivalent fractions, decimals and percentages: Fraction Decimal Percentage 1 4 25% 0.5 50% 3 4 0.75 2 5 40% 0.2 20% 2 3 0.66 b) In a Year 6, three quarters of the children have hot dinners, and the rest have a packed lunch. What percentage of children has a packed lunch? 1 mark c) In the supermarket, there is a special offer on pizza. The price is reduced by 0.1. What percentage of the original price will customers now pay? 1 mark d) Jessica is growing sunjlowers in her garden. Sunflower A is + of the size of the Sunjlower B. How much smaller is Sunjlower A than Sunjlower B, as a percentage? Total for this page ©twinkl.co.za You may photocopy this page. Answer Sheet: Maths Assessment Grade 6: Fractions - Section A question answer marks notes 1. Use common factors to simplify fractions; use common multiples to express fractions in the same denomination. 5 1 4 6 T q 3 a 12 4 5 4 1 8 T 8 4 "'io 5 Award one mark for 1 each correct answer. 2 "'io = 5 2 1 = 4 q 6 b 12 = 8 5 5 = T 10 12 = 6 2. Compare and order fractions, including fractions >1. I 1 4 smallest I 1 T I.1.. 4 I 1...!.. 4 I 1T 1 I 1.1.. 4 largest I I 6 1 smallest I 1 T I T 2 I 6 5 I 16 1 I 1+ largest I Award one mark for I I I I I I I 4 each set of fractions 1 1 4 5 3 4 "'io 5 "'io "'io 5 5 correctly ordered. smallest largest I 8 4 smallest I 4 3 I 4 4 I 8 q I 5 4 I 12 8 largest I or= 1 4 T < 6 3 6 = 1 T 3 1 Award one mark for "'io > 5 6 each correct symbol. = 5 1 whole 5 3 5 4 > 8 5 11 6 < 12 ©twinkl.co.za You may photocopy this page.  question answer marks notes 3. A dd and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions. f + 1 = 1 whole (also accept 1) a 5 Award one mark for each correct answer. -¾--+=+ 1 +-+ = 1 whole (also accept 1) b 5 4. Multiply simple pairs of proper fractions, writing the answer in its simplest form..1...x...!... =...!... 3 2 6 1 1 1 2X3 Award one mark for = 4 a 4 each correct match....!... 2 x...!... =...!... 4 8 x 8...!...= 3...!... 3 1 1 = 8 1 X 2 1 1 = 6 1 2 X T Award one mark for b 1 1 4 X = "'io 1 each correct answer. 2 2 1 = 8 1 8 X 2 5. Divide proper fractions by whole numbers. = f+2 + >< 2.....:..6 =...!... Award one mark for 4. 3 a 4 each pair of fractions + 2= correctly matched. 180 + : + 4= >< + 4 +3 = 4 3 1 1 4 +2 = 8 1 Award one mark for b 4 4 + 2= 1 each correct answer. 6 T T 2 + 4= 6 1 Section A Total: 46 ©twinkl.co.za You may photocopy this page. Answer Sheet: Maths Assessment Grade 6: Fractions - Section B question answer marks notes 1. Associate a fraction with division and calculate decimal fraction equivalents for a simple fraction. a 160 + 4 = 40 2 Award two marks for a correct answer. Award one mark for a 99 + 3 = 33 correct method, but incorrect b 2 answer. 33 X 2 = 66 C 0.625 1 q d 12 1 2. Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places. 42 3 Four tenths 824.®o Eight hundredths Award one mark for each digit a 971.9-;([) Seven thousandths 5 correctly identified. 5 5 Five tenths 2.26® Two thousandths 17.22. Nine hundredths Accept numbers written as words 32.161 One thousandth or numerals (e.g. nine or 9). Do not b 55. 24 Three tenths 5 accept tens, hundreds or thousands 67.13 One tenth in place of tenths, hundredths or thousandths. 98.82. Nine hundredths 2.31 X 10 000 = 23 100 46 X 100 = 4600 C 4.46 X 100 = 446 5 7.871 X 10 = 78.71 7.825 X 1 000 = 7 825 Award one mark for each box = correctly filled. 15.4 10 1.54 429 100 = 4.29 d 1392 1000 = 1.392 5 3988 100 = 39.88 8.67 10 = 0.867 ©twinkl.co.za You may photocopy this page.  question answer marks notes 3. Multiply one-digit numbers with up to two decimal places by whole numbers. a 101.4 1 b 18.64 1 4. Use written division methods in cases where the answer has up to two decimal places. Award two marks for a correct answer. Award one mark for a 29 r 6 or 29.75 2 evidence of a correct calculation, but incorrect answer. Award two marks for a correct answer. Award one mark for evidence of a correct calculation, b 89.25 2 but incorrect answer.Do not accept answers where the remainder has not been written as a decimal. 5. Solve problems which require answers to be rounded to specified degrees of accuracy. a 83 boxes 2 b 10 pieces of fabric 2 Award two marks for a correct answer. Award one mark for evidence of a correct calculation, but 11 bags 2 incorrect answer. d 3 cakes 2 6. Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts. Fraction Decimal Percentage T 0.25 25% 0.5 50% Award one mark for each box a T 0.75 75% 6 2 correctly completed. 5 0.4 40% 2 1 wors 0.2 20% 2 3 0.66 66% b 25% 1 C 90% 1 d 20% 1 Section B Total: 49 Overall Total: 95 ©twinkl.co.za You may photocopy this page.