ALDENHAM SCHOOL 13+ Paper 1 by smoothmaths | Aug 7, 2020 | 0 comments Welcome to your ALDENHAM SCHOOL 13+ Paper 1 1. Work out the following calculations. (a) (24 – 10) x 228481614201. Work out the following calculations. (b) 12 + 3 x 8120243612None of the above2. Owen buy some cricket pads for £19.56 and a helmet for £24.38. (a) How much does Owen spend in total?£24.38£29.20£43.98None of the above£19.562. Owen buy some cricket pads for £19.56 and a helmet for £24.38. (b) He wishes to buy a cricket bat costing £148 He has £30 saved already and his parents say they will pay half of the cost. He can save £10 per month. How many months will he have to wait until he can afford the bat?5 months6 months4 months7 months3 months3. Circle the number which is not a multiple of 3?24180201301None of the above4. Mr Collins bought 24 packs of biscuits each containing 15 biscuits. How many biscuits did he buy in total?160 Biscuits360 Biscuits264 Biscuits288 BiscuitsNone of the above5. Write down a number which is a multiple of 8 and a multiple of 12.68412246. Write the numbers below in order, starting with the smallest. (a) -3, 3.5, 0, -14, 25, 4-3, -14, 0, 3.5, 4, 25-14, -3, 0, 3.5, 4, 250, -3, -14, 3.5, 4, 25None of the above25, 4, 3.5, 0 , -3,-146. Write the numbers below in order, starting with the smallest. (b) 5m 240cm 80cm 4500mm5m, 4500mm, 240cm, 80cm5m, 240cm, 80cm, 4500mmNone of the above4500mm, 80cm, 240cm, 5m80cm, 240cm, 4500mm, 5m7. You start at (7, 3) and move 6 squares left and 4 units up. Where do you end up? (7,3)(2,6)(1,3)(3,7)(1,7)8. Izzy has a new necklace. 12 of the 60 beads are blue. What percentage of the beads are blue?0.450.350.50.20.259. Draw an accurate net of this shape. 10. A crate can hold 12 glasses. What is the smallest number of crates needed for 100 glasses?7 crates12 crates10 crates8 crates9 crates11. Simplify the expressions below. (x means multiply) (a) c + 4m - 7mc - 11mc + 3mc - 3mc - 4mc + 4m11. Simplify the expressions below. (x means multiply) (b) 2t x 5t\[10t^{3}\]10t\[5t^{2}\]\[10t^{4}\]\[10t^{2}\]11. Simplify the expressions below. (x means multiply) (c) 3a + 5(4a – 2)23a + 103a + 220a + 1010a + 233a + 1012. 6 litres of water is to be shared equally between 15 bottles. How much water will there be in each bottle?0.4 liers1 liter1.5 liter4 liters2.5 liter13(a) Look at the following 10 numbers 7 5 7 6 6 4 5 3 4 4 How would the mode change if one of the 6s was changed to a 4? Circle your answer. DecreaseNo changea & b bothIncreaseNone of the above13 .(b) Look at the following 10 numbers 88 59 80 77 56 85 64 66 76 59 How would the median change if the number 64 was added to the list? Circle your answer. DecreaseNone of the aboveBoth a & cIncreaseNo change14. Find the volume of the solid below. Include the units in your answer. \[45m^{3}\]\[120m^{3}\]\[180m^{3}\]\[30m^{3}\]\[360m^{3}\]15. The volume of this cube is 729 cubic metres. What is the value of u? Circle your answer. 8m9m13mNone of above7m16.(a) Work out: 2\[\frac{3}{4}\]+ 1\[\frac{2}{5}\]4\[\frac{3}{20}\]\[\frac{83}{20}\]\[\frac{14}{20}\]Both a & b3\[\frac{5}{9}\]16. (b) Work out and simplify fully. \[\frac{4}{5}\] ÷ \[\frac{2}{3}\]\[\frac{6}{5}\]Both a & b\[\frac{2}{5}\]\[\frac{4}{5}\]1\[\frac{1}{5}\]17. Write 60 as the product of its prime factors.4 x 15None of the above2 x2 x 3 x 54 x 3 x 52 x 2 x 1 x 518. Solve the following equations: (a) 4n - 8 = 32322886418. Solve the following equations (b) 6p + 5 = 40 - p35285None of the above618. Solve the following equations: (c) \[5c^{2}\] = 806 or -69 or -95 or -5None of the above4 or -419. A store owner bought a bag for £120 and sold it for £150. What percentage profit is this?20%25%80%40%35%20. Factorise the expression 12 – 4x4x4x8 - 4xNone of the above4(3 - x)1221.(a) In a bag there are blue and yellow marbles. There are 20 marbles in total and 12 are blue. If a marble is picked out of the bag at random, what is the probability that it is yellow?\[\frac{1}{4}\]1\[\frac{4}{5}\]\[\frac{3}{5}\]\[\frac{1}{5}\]21.(b) In a bag there are blue and yellow marbles. There are 20 marbles in total and 12 are blue. If experiment is repeated 50 times what is the expected number of yellow marbles which would be chosen?201258421.(c) In a bag there are blue and yellow marbles. There are 20 marbles in total and 12 are blue. If you were to pick a marble, replace it, then pick another, what is the probability both marbles would be yellow?\[\frac{5}{4}\]\[\frac{4}{25}\]\[\frac{4}{5}\]\[\frac{1}{5}\]None of the above22. Look at the scattergraph below linking maths and science test scores. (a) What type of correlation does the graph show.No correlationNegative correlationPositive correlationAll of the above except cNone of the above22. Look at the scattergraph below linking maths and science test scores. (b) By drawing a line of best fit, predict the value for a maths score for a student whosescience score was 38.38 marks45 marks50 marks43 marks40 marks23. P = 2( a + b ) (a) Work out the value of P when a = 4 and b = 1232816242023. P = 2( a + b ) (b) Work out the value of a if P = 16 and b = 38510111324. Here are the ingredients for fudge. Work out how much condensed milk is needed to make fudge for 10 people.600g800gNone of the above580g4800g25. Mika can eat 21 hot dogs in 6 minutes. How many minutes would it take her to eat 35 hot dogs if she can keep up the same pace? You must show your working6 minutes10 minutes12 minutes8 minutes15 minutes26. A box contains counters that are red, blue, yellow or green. The table shows some information about picking a counter at random. red blue yellow green Probability x 0.25 0.35 3x Work out the value of x, the probability of choosing a red counter.0.50.10.20.70.327. (a) Measure and write down the bearing of B from A.\[330^{o}\]\[110^{o}\]\[270^{o}\]\[160^{o}\]\[60^{o}\](b) Estimate on the diagram, the position of a line on a bearing of 110° from A.28.(a) Complete the table of values for the graph y = 2x - 428. (b) On the grid, draw the graph of y = 2x - 4 for values of x from -2 to 2 28. (c) Draw the line y = x on the axes above.29. a Rotate shape P 90° clockwise about the point (0,2). Label the new shape Q29. (b) Translate triangle Q by (\[\frac{3}{-6}\]) Label your answer R.30. Reflect the shape in the line x= -131. The table shows the goals scored scored goals for the school hockey team last month. Goals scored Number of students 1 9 2 3 3 5 4 3 (a) What was the modal number of goals scored?5349131. The table shows the goals scored scored goals for the school hockey team last month. Goals scored Number of students 1 9 2 3 3 5 4 3 (b) How many students were there in total?None of the above12892031. The table shows the goals scored scored goals for the school hockey team last month. Goals scored Number of students 1 9 2 3 3 5 4 3 (c) What is the mean number of goals scored per student last month.1.22.5None of the above1.52.132. Work out the size of angles a and b. a = \[40^{o}\] , b =\[120^{o}\]a = \[70^{o}\] , b =\[80^{o}\]a = \[45^{o}\] , b = \[71^{o}\]a = \[20^{o}\] , b = \[120^{o}\]a = \[60^{o}\] , b = \[100^{o}\]33. (a) Write down the 8th term in this sequence. 4, 10, 16, 22, 28583440524633.(b) Write down the formula for the nth term of the following sequence. -4, 2, 8, 14, 206n - 106n - 610n - 66n - 44n - 633.(c) Which term in the sequence is 62?\[11^{th}\] term\[9^{th}\] term\[15^{th}\] term\[10^{th}\] term\[12^{th}\] term34. 40% of people left the party before it ended. 10% of those who left were men. The ratio of the number of men who left to those who did not was 2 : 5. If there were 105 men at the party when it started, how many women were at the party when it started?75060055064572035. (a) Simplify \[5^{4}\] × \[5^{6}\]\[5^{4}\]\[5^{10}\]\[5^{24}\]\[25^{10}\]\[5c^{6}\]35.(b) Simplify \[7^{5}\] ÷ \[7^{2}\]\[7^{5}\]\[7^{1}\]\[7^{4}\]\[7^{3}\]\[7^{2}\]36. Mrs Green’s garden is in the shape of a rectangle. Part of the garden is a patio in the shape of a triangle. The rest of the garden is grass. Mrs Green wants to spread fertiliser over all her grass. One box of fertiliser is enough for 32m² of grass. How many boxes of fertiliser will she need? You must show your working.3 boxes2 boxes6 boxes4 boxes5 boxes37. Andrew paid £12 for 4 cups of coffee and 4 cups of tea. 3 cups of coffee cost as much as 2 cups of tea. What was the total cost of 5 cups of tea and 5 cups of coffee.£13£15£9£12£638. Roy gets 10% extra time in school exams. If Roy gets 1 hour, 33 minutes and 30 seconds to complete his maths exam, how long do most students get?80 minutes63 minutes85 minutes78 minutes90 minutesTime is Up! Time's up