Maths Past Paper PDF

## Exercise 1a 1. Write these numbers in order. Start with the smallest. - a 5, -5, -8, 3 - b 10, -3, 2, -4 - c 7, -6, 9, -3 - d -4, 0, -9, 2 - e -1, -10, -5, -3 - f -8, 8, 0, -9 2. Use the number line to answer these. - a 4 - 6 = - b -3 + 5 = - c -7 + 4 = - d...

## Exercise 1a 1. Write these numbers in order. Start with the smallest. - a 5, -5, -8, 3 - b 10, -3, 2, -4 - c 7, -6, 9, -3 - d -4, 0, -9, 2 - e -1, -10, -5, -3 - f -8, 8, 0, -9 2. Use the number line to answer these. - a 4 - 6 = - b -3 + 5 = - c -7 + 4 = - d 8 - 10 = - e -8 + 12 = - f 5 - 12 = - g -10 + 6 = - h -2 - 7 = 3. Here are the average temperatures of seven different U.K. cities in winter. - How much hotter is Cardiff than Aberdeen? | City | Temperature (°C) | |:---|:---| | Edinburgh | -2 | | London | 2 | | Birmingham | -3 | | Newcastle | 0 | | Cardiff | 6 | | Aberdeen | -7 | | Belfast | 4 | 4. The temperature in a supermarket refrigerator is checked every hour. Here is a record of the temperatures for the day: | Time | Temperature (°C) | |:---|:---| | 8a.m. | -11 | | 9a.m. | -13 | | 10a.m. | -7 | | 11a.m. | -2 | | 12 | 0 | | 1p.m. | 3 | | 2p.m. | 5 | | 3p.m. | -1 | | 4p.m. | -5 | | 5p.m. | -7 | - a Write out how the temperature changes between each check. Answer like this: - _Between 8 a.m. and 9a.m, the temperature goes down by 2°C._ - _Between 9a.m. and 10 a.m..._ - b At some time during the day, the refrigerator is switched off and cleaned. When do you think this happened? ## Problem solving 5. Here is a diagram of the caves and mountain in Boxford National Park. Ground level is at `0 metres`. - The caves are below ground level; the mountain is above ground level. How many metres are there between: - a the Summit and the Blue Cave - b Crystal Cave and View Point - c View Point and the Summit - d Blue Cave and Crystal Cave? - The image shows a mountain called Summit at 30 metres, then above 0 metres a View Point at 15 metres. The diagram then goes down to 0 metres, with a Crystal Cave at -18 metres and a Blue Cave at -10 metres. ## Exercise 7a 1. Place < 'less than' or > 'greater than' between these pairs of numbers to show which number is the larger. - a -8 and -6 - b -3.5 and -5 - c -5.8 and -6 - d -3.2 and -3.19 - e -0.05 and -0.489 - f -1.271 and -1.268 2. Put these numbers in order from smallest to largest. - a -1.8 -2.7 -5.2 - b -2 -3.4 -5.28 5 -3.8 - c 1.5 -3 -5.3 5.4 -5.25 3. Calculate - a 7 + -11 - b -12 + -9 - c -8 - -15 - d -6 - -15 - e -19 + -15 - f -5 + 7 - -4 - g -6 - -8 - -7 - h -12 + 32 + -27 - i 33 + -16 - 24 4. Calculate - a 9 x -4 - b -12 x 15 - c -14 x -6 - d -15 x -7 - e -250 - 5 - f -306 ÷ 6 - g -184 ÷ -8 - h 288 ÷ -9 5. Copy and complete these calculations. - a _ + - 8 = 0 - b 5 x _ = -10 - c 8 - _ = -7 - d _ + 7 = -13 - e 7 + _ = -9 - f _ x -6 = 84 - g _ - 23 = -7 - h -72 ÷ _ = 12 - i _ + -3 = -8 6. Here are six calculations - a _ ÷ _ = -4 - b _ ÷ _ = -10 - c _ + _ = 12 - d _ x _ = 36 - e _ x _ = 0 - f _ + _ = 0 -Suggest, with reasons, what the missing numbers could be in each question. ## Problem solving 7. a Copy and complete this multiplication grid. Try to find two different ways to complete it. - The grid is 2 x 4. The first column is 2 and -7. The second column is -12 and 42. The third column is -5 and -10. The fourth column is 32 and -12. The fifth column is -12 and 27. b Design your own multiplication grid problem. What is the least amount of information that you need to include to obtain a unique solution? 8. Calculate - a -2 x -3 x -5 - b -4 x -4 x -4 x -4 - c (-1)^3 - d (-1)^101 - e (-3 x 4) - (-2 x -5) - f -(7 x -6) + (-3 x -4)