Welcome to your ALDENHAM SCHOOL 13+ Paper 1 1. Work out the following calculations.Â Â Â Â (a) (24 â€“ 10) x 2 28 48 16 14 20 None 1. Work out the following calculations.Â Â Â (b) 12 + 3 x 8 12 24 36 None of the above 120 None 2. Owen buy some cricket pads for Â£19.56 and a helmet for Â£24.38.Â Â Â (a) How much does Owen spend in total? Â£29.20 Â£24.38 Â£19.56 Â£43.98 None of the above None 2. Owen buy some cricket pads for Â£19.56 and a helmet for Â£24.38.Â Â Â Â Â (b) He wishes to buy a cricket bat costing Â£148Â Â Â Â Â Â Â Â Â He has Â£30 saved already and his parents say they will pay half of the cost.Â Â Â Â Â He can save Â£10 per month. How many months will he have to wait until he can afford the bat? 4 months 5 months 6 months 7 months 3 months None 3. Circle the number which is not a multiple of 3? 24 201 301 None of the above 180 None 4. Mr Collins bought 24 packs of biscuits each containing 15 biscuits.Â Â How many biscuits did he buy in total? 288 Biscuits 360 Biscuits 264 Biscuits 160 Biscuits None of the above None 5. Write down a number which is a multiple of 8 and a multiple of 12. 8 24 4 12 6 None 6. Write the numbers below in order, starting with the smallest.Â Â Â Â Â (a)Â Â Â Â Â Â Â Â Â -3,Â Â Â 3.5,Â Â Â 0,Â Â Â -14,Â Â Â Â Â 25,Â Â Â Â 4 -3, -14, 0, 3.5, 4, 25 25, 4, 3.5, 0 , -3,-14 0, -3, -14, 3.5, 4, 25 None of the above -14, -3, 0, 3.5, 4, 25 None 6. Write the numbers below in order, starting with the smallest.Â Â Â Â Â Â (b)Â Â Â Â 5mÂ Â Â Â Â Â 240cmÂ Â Â Â Â Â 80cmÂ Â Â Â Â Â 4500mm 5m, 240cm, 80cm, 4500mm 5m, 4500mm, 240cm, 80cm 80cm, 240cm, 4500mm, 5m None of the above 4500mm, 80cm, 240cm, 5m None 7. You start at (7, 3) and move 6 squares left and 4 units up. Where do you end up?Â (7,3) (1,7) (3,7) (2,6) (1,3) None 8. Izzy has a new necklace. 12 of the 60 beads are blue.Â Â What percentage of the beads are blue? 0.35 0.2 0.5 0.25 0.45 None 9. Draw an accurate net of this shape.Â Â None 10. A crate can hold 12 glasses.Â Â Â What is the smallest number of crates needed for 100 glasses? 12 crates 7 crates 10 crates 9 crates 8 crates None 11. Simplify the expressions below. (x means multiply)Â Â Â (a)Â c + 4m - 7m c + 3m c + 4m c - 4m c - 3m c - 11m None 11. Simplify the expressions below. (x means multiply)Â Â Â Â (b) 2t x 5t \[10t^{2}\] \[10t^{4}\] \[10t^{3}\] 10t \[5t^{2}\] None 11. Simplify the expressions below. (x means multiply)Â Â Â Â Â Â Â Â Â Â Â Â (c) 3a + 5(4a â€“ 2) 3a + 2 10a + 23 3a + 10 23a + 10 20a + 10 None 12. 6 litres of water is to be shared equally between 15 bottles. How much water will there be in each bottle? 1.5 liter 2.5 liter 1 liter 0.4 liers 4 liters None 13(a) Look at the following 10 numbersÂ Â Â Â Â Â Â 7Â Â Â Â 5Â Â Â 7Â Â Â Â 6Â Â Â Â 6Â Â Â Â 4Â Â Â Â Â 5Â Â Â Â Â 3Â Â Â Â 4Â Â Â Â 4Â Â Â Â How would the mode change if one of the 6s was changed to a 4?Â Â Â Â Circle your answer. Decrease a & b both Increase No change None of the above None 13 .(b) Look at the following 10 numbersÂ Â Â Â Â 88Â Â Â Â 59Â Â Â Â 80Â Â Â Â 77Â Â Â Â 56Â Â Â Â 85Â Â Â Â 64Â Â Â 66Â Â Â Â 76Â Â Â Â Â 59Â Â Â Â Â How would the median change if the number 64 was added to the list?Â Â Â Â Â Circle your answer. None of the above Both a & c Decrease No change Increase None 14. Find the volume of the solid below.Â Â Â Â Include the units in your answer.Â Â Â Â 120mÂ³ 360Â³ 30mÂ³ 180mÂ³ 45mÂ³ None 15. The volume of this cube is 729 cubic metres. What is the value of u?Â Â Â Circle your answer.Â Â Â 13m 7m 9m 8m None of above None 16.(a)Â Work out: \[2\frac{3}{4}+1\frac{2}{5}=\] \[\frac{83}{20}\] \[\frac{14}{20}\] Both a & b 4\[\frac{3}{20}\] 3\[\frac{5}{9}\] None 16. (b)Â Â Work out and simplify fully. \[\frac{4}{5} Ã· \frac{2}{3}=\] \[\frac{6}{5}\] \[\frac{2}{5}\] 1\[\frac{1}{5}\] Both a & b \[\frac{4}{5}\] None 17. Write 60 as the product of its prime factors. None of the above 4 x 3 x 5 2 x 2 x 1 x 5 2 x2 x 3 x 5 4 x 15 None 18. Solve the following equations:Â Â Â Â (a) 4n - 8 = 32 32 28 4 6 8 None 18. Solve the following equationsÂ Â Â (b) 6p + 5 = 40 - p 35 5 28 6 None of the above None 18. Solve the following equations: Â (c) \[5c^{2}\] = 80Â 4 or -4 None of the above 5 or -5 9 or -9 6 or -6 None 19. A store owner bought a bag for Â£120 and sold it for Â£150.Â Â Â What percentage profit is this? 25% 20% 80% 40% 35% None 20. Factorise the expressionÂ Â Â 12 â€“ 4x 4(3 - x) None of the above 12 8 - 4x 4x None 21.(a) In a bag there are blue and yellow marbles.Â Â Â Â Â There are 20 marbles in total and 12 are blue.Â Â Â Â Â If a marble is picked out of the bag at random, what is the probability that it is yellow? \[\frac{4}{5}\] \[\frac{1}{4}\] 1 \[\frac{1}{5}\] \[\frac{3}{5}\] None 21.(b) In a bag there are blue and yellow marbles.Â Â Â Â Â Â There are 20 marbles in total and 12 are blue.Â Â Â Â Â If Â experiment is repeated 50 times what is the expected number of yellow marbles which would be chosen? 4 5 12 20 8 None 21.(c) In a bag there are blue and yellow marbles.Â Â Â Â Â Â There are 20 marbles in total and 12 are blue.Â Â Â Â Â If you were to pick a marble, replace it, then pick another, what is the probability both marbles would be yellow? \[\frac{4}{5}\] \[\frac{5}{4}\] \[\frac{4}{25}\] None of the above \[\frac{1}{5}\] None 22. Look at the scattergraph below linking maths and science test scores.Â Â Â Â Â Â (a) What type of correlation does the graph show. Positive correlation None of the above Negative correlation No correlation All of the above except c None 22. Look at the scattergraph below linking maths and science test scores.Â Â Â Â (b) By drawing a line of best fit, predict the value for a maths score for a student whosescience score was 38. 40 marks 45 marks 38 marks 50 marks 43 marks None 23. P = 2( a + b )Â Â (a) Work out the value of P when a = 4 and b = 12 8 24 32 20 16 None 23. P = 2( a + b )Â (b) Work out the value of a if P = 16 and b = 3 5 13 10 11 8 None 24. Here are the ingredients for fudge.Â Â Â Â Â Â Â Work out how much condensed milk is needed to make fudge for 10 people. 800g None of the above 580g 4800g 600g None 25. Mika can eat 21 hot dogs in 6 minutes.Â Â Â How many minutes would it take her to eat 35 hot dogs if she can keep up the same pace?Â Â Â You must show your working 8 minutes 12 minutes 15 minutes 6 minutes 10 minutes None 26. A box contains counters that are red, blue, yellow or green.Â Â Â The table shows some information about picking a counter at random. Â red blue yellow green Probability x 0.25 0.35 3x Â Â Â Work out the value of x, the probability of choosing a red counter. 0.5 0.2 0.1 0.3 0.7 None 27.Â Â Â Â Â Â Â Â (a) Measure and write down the bearing of B from A. \[110^{o}\] \[160^{o}\] \[270^{o}\] \[60^{o}\] \[330^{o}\] None (b) Estimate on the diagram, the position of a line on a bearing of 110Â° from A. None 28.(a) Complete the table of values for the graphÂ Â Â Â Â Â y = 2x - 4 None 28. (b) On the grid, draw the graph ofÂ Â Â Â Â Â y = 2x - 4 for values of x from -2 to 2Â Â Â Â None 28. (c) Draw the line y = x on the axes above. None 29.Â Â Â Â Â Â Â Â a Rotate shape P 90Â° clockwise about the point (0,2). Label the new shape Q None 29.Â (b) Translate triangle Q by \[\frac{3}{-6}\]Â Â Label your answer R. None 30.Â Â Â Â Â Â Reflect the shape in the line x= -1 None 31. The table shows the goals scored scored goals for the school hockey team last month. Goals scored Number of students Â 1 9 Â 2 3 Â 3 5 Â 4 3 Â Â Â Â Â Â Â (a) What was the modal number of goals scored? 5 9 3 4 1 None 31. The table shows the goals scored scored goals for the school hockey team last month. Goals scored Number of students Â 1 9 Â 2 3 Â 3 5 Â 4 3 (b) How many students were there in total? None of the above 20 12 9 8 None 31. The table shows the goals scored scored goals for the school hockey team last month. Goals scored Number of students Â 1 9 Â 2 3 Â 3 5 Â 4 3 (c) What is the mean number of goals scored per student last month. 1.5 None of the above 1.2 2.5 2.1 None 32. Work out the size of angles a and b.Â Â Â Â a = \[70^{o}\] , b =\[80^{o}\] a = \[45^{o}\] , b = \[71^{o}\] a = \[40^{o}\] , b =\[120^{o}\] a = \[20^{o}\] , b = \[120^{o}\] a = \[60^{o}\] , b = \[100^{o}\] None 33. (a) Write down the 8th term in this sequence.Â Â Â Â Â Â Â Â Â Â 4,Â Â Â Â Â 10,Â Â Â Â Â Â 16,Â Â Â Â Â Â 22,Â Â Â Â Â 28 58 34 52 46 40 None 33.(b) Write down the formula for the nth term of the following sequence.Â Â Â Â Â Â Â Â Â Â Â -4,Â Â Â Â Â 2,Â Â Â Â Â Â 8,Â Â Â Â Â Â 14,Â Â Â Â Â 20 6n - 4 10n - 6 4n - 6 6n - 10 6n - 6 None 33.(c) Which term in the sequence is 62? \[12^{th}\] term \[9^{th}\] term \[10^{th}\] term \[11^{th}\] term \[15^{th}\] term None 34. 40% of people left the party before it ended. 10% of those who left were men.Â Â Â The ratio of the number of men who left to those who did not was 2 : 5.Â Â Â If there were 105 men at the party when it started, how many women were at the party when it started? 645 720 600 750 550 None 35. (a) Simplify \[5^{4}\ Ã— 5^{6}\] \[5^{10}\] \[25^{10}\] \[5^{24}\] \[5c^{6}\] \[5^{4}\] None 35.(b) Simplify \[7^{5}\ Ã· 7^{2}\] \[7^{3}\] \[7^{2}\] \[7^{5}\] \[7^{1}\] \[7^{4}\] None 36. Mrs Greenâ€™s garden is in the shape of a rectangle.Â Â Â Â Part of the garden is a patio in the shape of a triangle.Â Â Â Â The rest of the garden is grass.Â Â Â Â Â Â Â Â Mrs Green wants to spread fertiliser over all her grass.Â Â Â Â One box of fertiliser is enough for 32mÂ² of grass.Â Â Â Â How many boxes of fertiliser will she need?Â Â Â Â You must show your working. 3 boxes 2 boxes 6 boxes 5 boxes 4 boxes None 37. Andrew paid Â£12 for 4 cups of coffee and 4 cups of tea.Â Â Â 3 cups of coffee cost as much as 2 cups of tea.Â Â Â What was the total cost of 5 cups of tea and 5 cups of coffee. Â£12 Â£6 Â£15 Â£13 Â£9 None 38. Roy gets 10% extra time in school exams.Â Â Â If Roy gets 1 hour, 33 minutes and 30 seconds to complete his maths exam, how long do most students get? 63 minutes 80 minutes 78 minutes 90 minutes 85 minutes None Time's up