Maths Workout Year 6 Fractions Set 6 Deepening

Maths Workout Year 6 – Fractions Set 6 ©Deepening Understanding LTD 2020

Write all the factors of 16. Write the fraction in its simplest form. 4 5 6 15 True or False? 27 Two 54 9 15 Write the largest common factor of 16 and 24. Monday Five Three A Four One Use the bar model to calculate A. of 150 = 120 Do you agree? Explain your reasoning! ©Deepening Understanding LTD 2020

1 Four One 1, 2, 4, 8, 16 A– 8 Monday Answers 5 6 15 D – False. 2 Five Three Two 1 4 9 of 150 does not = 120 15 B – 9 of 150 = 90 because 15 150 ÷ 15 = 10 and 10 × 9 = 90 ©Deepening Understanding LTD 2020

16 4 32 8 Four One Add < > or = to compare the fractions. Ranjit eats 56 raisins. There are five ninths left in the bag. How many raisins are still in the bag? How many sixths are there in 5 and two-thirds? Write at least 3 things that are the same and that are different between two sevenths and four sevenths. Tuesday “My sunflower is 235 cm. Asha’s is two fifths of the size of mine. ” Five Three Two Can you help Alfie? How tall is Asha’s sunflower? ©Deepening Understanding LTD 2020

= 8 70 raisins Four 32 4 34 Asha’s sunflower is 94 cm. 1 5 Examples: The denominators are the same. The numerators are different. One numerator is double the other. Tuesday Answers 2 Five Three Two One 16 5 = 235 ÷ 5 = 47 cm = 94 cm ©Deepening Understanding LTD 2020

One 3 8 subtracted from 7 16 Four What is Find six eighths of 488. Two Jane is calculating. 6 Calculate nine sixteenths of 1, 920. 18 + 4 9 = 14 18 = 7 9 35 45 Wednesday - 10 15 = Five Three Calculate and show in its simplest form. Do you agree with Jane? Explain your reasoning! ©Deepening Understanding LTD 2020

Four 16 1, 080 D – Jane is correct. A – The calculation is correct. B 6 4 14 7 18 1 9 Wednesday Answers 366 + 9 = 18 = 9 Five Three Two One 1 ©Deepening Understanding LTD 2020

Four One Calculate. . 3 × 8 = 10 Calculate. . Two 5 7 Jerry calculates. . . “I have 12 hair cuts each year. I have three sixths of the year left. ” ÷ 9 23 7 48 12 Five Three Use < > or = to compare the fractions. Thursday Jane has four fifths of her cake left. She shares the left over cake equally between 3 of her friends. How much do they each get? How many haircuts does Jerry have left? Explain your reasoning! ©Deepening Understanding LTD 2020

10 or 2 4 10 1 Four One 24 15 Two 5 63 D – Jerry has 6 hair cuts left. A – Three sixths of 12 equals 6. Five Three B– Thursday Answers 3 6 = 1 2 12 ÷ 2 = 6 ©Deepening Understanding LTD 2020

What calculation does the bar represent? Four One Alfie has five fifteenths of his stickers left. He had 1, 350 to begin with. How many does he have left? Calculate and simplify 6 Two 3 9 Ranjit played football for three and a half hours each day for 2 weeks. × 4 Three 5 9 Friday ÷ 10 Five Calculate How many hours did Ranjit play football for? ©Deepening Understanding LTD 2020

5 Two 14 Four One 450 2 8 D – Ranjit played football for 49 hours. 3 A – 14 × 3 = 42 hours B – 14 × 5 90 or Friday Answers 1 18 Five Three ÷ 2 1 = 7 hours 42 + 72 = 49 hours ©Deepening Understanding LTD 2020