SATs Skills
Arithmetic Workbook 10–11 years
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Unit 4
Bond SATs Skills Arithmetic 10–11
Division Helpful Hint Sometimes a number can’t be divided exactly and there is an amount left over. This is known as the remainder (r). Remainders can be written as fractions. The remainder is the top number (numerator) of the fraction. The number you are dividing by is the bottom number (denominator). 2
1
Example: 170 ÷ 6 = 28 r 2 or as a fraction 28 6 or as a simplified fraction 28 3
A
Answer these questions. You do not need to show your workings out. Write any remainders as fractions in their simplest form.
1 5680 ÷ 5 =
[1]
2 1155 ÷ 7 =
[1]
3 3048 ÷ 6 =
[1]
4 715 ÷ 8 =
[1]
5 3567 ÷ 9 =
[1]
6 3027 ÷ 4 =
[1]
7 5000 ÷ 9 =
[1]
8 2661 ÷ 3 =
[1]
9 1032 ÷ 4 =
[1]
10 985 ÷ 7 =
[1]
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Unit 4
Bond SATs Skills Arithmetic 10–11
Helpful Hint Long division is a way of dividing by bigger numbers. This is because you are unlikely to know the times tables for numbers more than 12. You have to show your workings in a different way. Use multiplication to find the multiples of larger numbers and subtraction to find the remainders. Set your work out in columns. Example of long division: 56 r2 18 1 0 1 0 –90 110 –108 2
Step 1 18 doesn’t go into 1, so look at the next digit (0). 18 doesn’t go into 10, so look at the next digit (1).
1 ×
8 4
7
2
1 ×
8 5
9
0
1 ×
8 6
1
0
8
Step 2 18 goes into 101 five times (18 × 5 = 90). To find the remainder, subtract 90 from 101. 101 – 90 = 11 Step 3 Next, bring the 0 down to make 110. 18 goes into 110 six times (18 × 6 = 108). Find the remainder: 110 – 108 = 2 2
1
So 1010 ÷ 18 = 56 r 2 or 56 18 or 56 9 . It shows 1010 shared equally between 18 groups gives 56 in each group with 2 left over.
B
Answer these questions and show your workings out. Write any remainders as fractions in their simplest form.
1 915 ÷ 14 =
[1]
2 2091 ÷ 17 =
[1]
3 1250 ÷ 26 =
[1]
4 1448 ÷ 32 =
[1]
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Unit 4
Bond SATs Skills Arithmetic 10–11
Word problems Helpful Hint Remember, there are 1000 ml in 1 litre.
C
Solve these word problems and show your workings out.
1 A school has been given an anonymous donation of £4200. It decides to buy notepad computers with the money. Each one costs £75. How many notepad computers is the school able to buy?
[1]
2 1025 lettuces were picked. They were then put into boxes which held a maximum of 15 lettuces each. How many boxes were needed for these lettuces?
[1]
3 Jacob’s mum is reading a very long book. It has 1064 pages. She wants to read it in 4 weeks. How many pages will she need to read each day to finish the book on time?
[1]
4 Gita decided to sell hot chocolate drinks to raise money for a local charity. She made 9 litres. Each cup held 200 ml and sold for £1.50. She sold out. a How many cups of hot chocolate did she sell? b How much money did she raise?
a
b [2]
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Unit 10
Bond SATs Skills Arithmetic 10–11
Test your skills Helpful Hint The questions in this unit are all mixed calculations. Time yourself to see how well you can do. Look back at the other units if you need to refresh your memory.
A
Answer these questions. You do not need to show your workings out.
1 433 ÷ 1000 =
[1]
2 1 13 + 2 16 =
[1]
3 563 × 5 =
[1]
4 63 =
[1]
5 4500 − 1439 =
[1]
6 5600 + 1450 + 75 =
[1]
7 89.6 × 100 =
[1]
8 Write 88% as a fraction:
[1]
9 What is 40% of 300?
[1]
10 Order these numbers, smallest first. 845 798 846 799 846 798 845 797 [1]
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Unit 10 B
Bond SATs Skills Arithmetic 10–11
Answer these questions and show your workings out.
1 67 004 + 9954 =
[1]
2 3.7 × 8 =
[1]
3 70% of 60 =
[1]
4
3 5
+ 2 18 =
[1]
5 What is the difference between 9 and − 4?
[1]
6 Which is greater, 72% of 325 or 34 of 316?
[1]
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Unit 10
Bond SATs Skills Arithmetic 10–11
Word problems C
Solve these word problems and show your workings out.
1 Leena bought seven gifts, one for each of the teachers that had taught her during primary school. Each present cost her £4.75. How much did she spend altogether on her teachers?
[1]
2 On a chilly winter’s morning the temperature was − 8°C. By 4 o’clock that afternoon the temperature had risen by six degrees. What was the temperature at 4 o’clock?
[1]
3 There will be eight children at Jasmine’s party. Her father thinks the children will eat about 56 of a pizza each. How many pizzas does he need to buy?
[1]
4 A plane journey from the UK to Australia takes 1297 minutes. What is the total number of hours and minutes?
[1]
5 Jodi has to do a test with 24 questions. She must get at least 80% correct to get a Grade A. What is the most number of questions she could get wrong and still have a Grade A?
[1]
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