Four Operations (Worded): Practice Set 2
Four Operations (Worded): Practice Set 2 gives a fresh set of worded problems that require choosing and correctly applying addition, subtraction, multiplication or division, sometimes several in one question, without a calculator. It follows on directly from the first Four Operations set, practising the same skill of turning everyday language into the right calculation.
Method
- Read the whole question before calculating anything, and identify exactly what quantity you are being asked to find.
- Identify the keywords that point to each operation: 'altogether' or 'in total' usually means add, 'how many more' or 'left' means subtract, 'shared equally' means divide, and 'each' or 'lots of' means multiply.
- For multi-step questions, plan the order of the separate steps before you start writing any calculation down.
- Use a clear written method, such as column addition or subtraction or short or long multiplication or division, so your working can earn marks even if the final answer is wrong.
- When a division leaves a remainder, decide from the context whether to round up, round down, or keep the remainder in your answer.
- Check that the size and the units of your final answer make sense for the situation described in the question.
Worked example
A theatre has 18 rows of seats with 24 seats in each row. Tickets cost 8 pounds each. On a sold-out night, how much money does the theatre take in ticket sales?
- Find the total number of seats by multiplying the rows by the seats in each row: 18 x 24.
- Work out 18 x 24 as 18 x 20 + 18 x 4 = 360 + 72 = 432 seats.
- Find the total ticket money by multiplying the total seats by the ticket price: 432 x 8.
- Work out 432 x 8 as 400 x 8 + 32 x 8 = 3,200 + 256 = 3,456.
- The final answer is 3,456 pounds.
Practice questions
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Q1A warehouse has 68 boxes. It receives a delivery of 47 more. How many boxes does the warehouse have now?Show answer
Answer: 115
Q2A tailor has 154 metres of fabric and uses 89 metres on one order. How many metres are left?Show answer
Answer: 65
Q3A minibus can carry 16 passengers. Work out how many passengers 7 minibuses can carry.Show answer
Answer: 112
Q4A grocer has 175 apples to pack into bags of 6. How many full bags can he make, and how many apples are left over?Show answer
Answer: 29 full bags, 1 apple left over (175 / 6 = 29 remainder 1)
Q5Meera buys 3 notebooks costing 1.85 pounds each. How much change does she get from a 10 pound note?Show answer
Answer: 4.45 pounds (3 x 1.85 = 5.55, 10.00 - 5.55 = 4.45)
Q6A charity raises 936 pounds, shared equally between 6 teams. Each team then spends 25 pounds on materials. How much does each team have left?Show answer
Answer: 131 pounds (936 / 6 = 156, 156 - 25 = 131)
Exam-style questions
Written in the style of a 11+ exam paper, with a full mark scheme.
A stationery shop orders 18 boxes of pens, each containing 32 pens. Work out the total number of pens ordered.
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A school is organising a trip for 214 pupils. Each coach holds a maximum of 36 pupils. (a) Work out the least number of coaches needed so that every pupil has a seat. (b) Work out how many empty seats there will be once all the coaches are booked.
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A market trader buys 36 kg of oranges for 32.40 pounds. She repacks the oranges into bags that each hold 400 g. (a) Work out the cost per kilogram of the oranges. (b) Work out how many 400 g bags she can fill from the 36 kg of oranges.
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Free printable worksheet
Want more practice on paper? Download the four operations (worded): practice set 2 worksheet pack - 11 pages of exam-style questions with a full mark scheme. One email opens every download in this browser for 14 days - no account, no card. Print it for personal and classroom use.
This topic is chapter 34 of 11+ Maths Workbook 4, the whole course as one free printable PDF.
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