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The Wey Valley School & Sports College Mathematics Home Study Page 1 MENTAL CALCULATION 1 1. Write three thousand, one hundred and twenty-nine in figures UNIT: MENTAL CALCULATION Support work: Page 1 Core work: Page 2 Extension work: Page 3 2. How many pens costing 10p each can I buy with a £2 coin? 3. Calculate 32 × 10 4. Ben and Jerry collect stickers. Ben has 135 stickers and Jerry has 85 stickers. How many stickers do they have in total? HELP! Knowing your times tables will help you most when trying to do mental calculations. Don’t just learn them in order – you should be able to answer straight away for any multiplication table up to 10 × 10. 5. What is six squared? 6. The temperature today was five degrees Celsius. Overnight it dropped by eight degrees. What was the temperature overnight? It is also useful to know some simple measurement facts: 1 hour = 60 minutes etc… 1 metre = 100 cm etc… 1 foot ≈ 30 centimetres etc… 1 kilogram ≈ 2 pounds (bag of sugar) 7. A chocolate bar has eight squares. Sam eats four of them. What percentage of the chocolate bar has Sam eaten? 8. My number multiplied by 7 is 28. What is my number? 9. If a = 3 and b = 4, find the value of a added to b and then Understanding of place value is also a must e.g. knowing that to calculate 300 × 1.3 you can do 300 × 13 and then divide the answer by 10. 10. My height in metres is 1.65 m. What is this in centimetres? Page 2 Page 3 divided by two. MENTAL CALCULATION 2 MENTAL CALCULATION 3 1. Add five squared to ten squared. 1. Calculate 0.32 ÷ 100 2. What is the value of 432 ÷ 10? 2. Round 67.256 to two decimal places 3. I buy two books costing £3.99 each. How much change do I 3. Express 8% as a fraction in its simplest terms 4. The area of a square is 49cm2, what is its perimeter? 5. If s = 6 and t = 2 calculate s2 – t3 6. The length of a ladder is 10 feet. Approximately, what is get from a ten pound note? 4. My mum tells me she is about five feet tall. Approximately, what is her height in centimetres? 5. I am thinking of a 2-D shape. My shape has four sides and two pairs of parallel lines. It has no right angles. What this in metres? 7. could my shape be? 6. 7. price of the sunglasses is £35. How much would you In a game Tilly has 342 points and Alysha has 251 points. How many more points does Tilly have than Alysha? A pair of sunglasses are in a 10% discount sale. The original pay for them in the sale? 8. Estimate the answer to 21.7 × 29.2 9. Papa & John go out for pizza. Papa eats If x = 7 and y = 6 find the value of x multiplied by y and then divided by three. 8. Calculate 300 × 1.2 9. Find the area of a rectangle that has length 6cm and width 2.5cm 10. I am thinking of a number. 25% of my number is 7.5. What is my number? John eats 1 of the pizza and 5 2 . How much is left to take home for mum? 3 10. A cuboid has volume 5cm3. The cuboid is enlarged scale factor 2. What is the volume of the new cuboid?