St Albans High School for Girls Specimen 11 Plus Maths Paper 1 2016 Online Quiz view all papers Welcome to your ST ALBANS HIGH SCHOOL FOR GIRLS 11 PLUS ENTRANCE EXAMINATION MATHEMATICS SPECIMEN PAPER - 1INSTRUCTIONS1 DO NOT OPEN THIS PAPER UNTIL YOU ARE TOLD THAT THE EXAMINATION HAS STARTED.2 There are 32 questions in the paper. Always check that you have turned over the page and that you have not missed any pages.3 You will need to work steadily but quickly, taking care to be as accurate as possible.4 You may write in pencil or pen.1. Add 48+84 132 122 96 142 112 None 2. Subtract 128 − 54 74 84 64 44 54 None 3. Multiply 24 × 7 168 148 178 158 188 None 4. Divide 285÷3 95 75 85 65 59 None 5. Write in figures the number thirteen thousand and eighty three 13083 1300083 13830 10383 None of the Above None 6. Work out half of three million, forty-thousand, two-hundred. Write your answer in words. One MillionFive Hundred & Twenty Thousand one Hundred One Million & Forty Hundred & Twenty Thousand Two Hundred One Million Four Hundred & Two Thousand one Hundred Two MillionFive Hundred & Twenty Thousand one Hundred None of the Above None 7. How much larger is 4.4 2.8 3.2 3.4 5.5 None 8. Ian buys3 bananas at 12p per banana5 apples at 11p per apple If Ian pays with a £2 coin how much change would Ian get? Give your answer in pounds and pence. 109p & £1.09 91p & £0.91 119p & £1.19 110p & £1.10 106p & £1.06 None 9. The digits 3, 1, 9 and 2 can be arranged in any order to make four digit numbers. What is the difference between the largest and smallest numbers that you can make? 8082 8192 8182 8092 8098 None 10. Draw hands so that the clock below shows a time of 16.30.11. 7:45pm None 12. Jacqueline needs to catch a flight early tomorrow morning. She needs to get out of bed at 3.15 am, but wants to make sure that she has at least 7½ hours of sleep. What is the latest time that Jacqueline can go to sleep this evening? 7:45pm 7:15pm 7:30pm 8:15pm 8:45pm None 13. Arrange the following numbers in order, starting with the smallest 0.3148, \[\frac{1}{5}\], 0.21, 25%, \[\frac{13}{48}\], 0.56, 0.6 \[\frac{1}{5}\], 0.3148, 0.6, 0.56, 0.21, 25%, \[\frac{13}{48}\] 0.21, 0.3148, 0.56, 0.6, \[\frac{1}{5}\], 25%, \[\frac{13}{48}\] 0.3148, 0.6, 0.21, \[\frac{1}{5}\] , 25%, \[\frac{13}{48}\], 0.56 0.6, 0.56, \[\frac{13}{48}\], 25%, 0.21, \[\frac{1}{5}\] 0.3148 None 14. In a Tennis club 1/9 of the players are left handed. There are three times as many players who wear glasses as there are who are left handed. What fraction of the players wear glasses? \[\frac{1}{3}\] \[\frac{1}{6}\] \[\frac{1}{2}\] \[\frac{1}{5}\] \[\frac{1}{4}\] None 15. Boxes of eggs hold 12 eggs. How many boxes will be needed to hold 158 eggs? 14 16 13 15 11 None 16. It takes Katie 3hours to jog 18 miles at a steady pace. If Katie decides to run for only two hours, but at the same speed how far would she run? 12 9 15 6 18 None 17. Find two whole numbers which multiply together to give 18 and a difference of 7. 2 & 9 7 & 14 1 & 8 1 & 9 3 & 8 None 18. Pairs of avocados are sold in a shop. 16 pairs of avocados are sold at a total cost of £24. The shopkeeper now decides to separate the pairs and sell the avocados individually, but without any change to the total price. What is the cost of an individual avocado? Give your answer in pence. 75p 85p 65p 45p 55p None 19. A number is multiplied by itself and the answer is 41. The number that I first thought of lies between two whole numbers. Write the two whole numbers in the boxes below. Number is between 6 & 7 Number is between 5 & 6 Number is between 3 & 5 Number is between 5 & 8 None of the Above None 20. Shade exactly three squares so that the shape has reflection symmetry about any line. 21. At 5.00 am the temperature is -3°C . At 10.30 am the temperature has risen steadily by 2°C per hour. What is the temperature at 10.30 am? \[8^{o}\] C \[11^{o}\] C \[7^{o}\] C \[6^{o}\] C \[10^{o}\] C None 22. Four people meet to discuss a new swimming competition. Each person shakes everyone else’s hand exactly once. How many handshakes are there in total? 6 8 4 14 16 None 23. Jessica hires a boat from a Kiosk in the park. The owner of the boat charges £2 to take the boat and then £3 for each hour that it is used. If Jessica uses the boat for half an hour she only needs to pay half the hourly cost.a. How much will Jessica pay to row the boat for 2 hours? £8 £6 £4 £9 None of the Above None 23.b. If Jessica pays £15.50 for how long has she hired the boat? 4.5hours 3.5hours 5.5hours 2.5hours 1.5hour None 24. The angles in a triangle always add up to 180° . In the triangle shown above angle a° is three times as big as angle b° and angle b° is twice as large as angle c° . Find the angle d° shown in the diagram. \[140^{o}\] \[110^{o}\] \[120^{o}\] \[130^{o}\] \[150^{o}\] None 25. The diagram shows a large cube that has been made by stacking smaller, 1cm cubes together.a. Suppose that you are now trying to make the cube for yourself.How many 1cm cubes will be needed to construct the larger cube? 125 cubes 84 cubes 100 cubes 140 cubes None of the Above None 25.b. Once you have constructed the larger cube you decide to paint it red, including the base.(i) Once painted, how many 1cm cubes will have at least one red face. 98 cubes 84 cubes 100 cubes 89 cubes None of the Above None 25.b (ii) How many 1cm cubes will have two red faces. 36 48 60 72 None of the Above None 26. Jason and Patrick win a prize of £75 for their entry into an inventing competition. For every 2 hours that Patrick worked on the project Jason worked 3, so it is decided that for every £2 that Patrick receives Jason should receive £3. How much will Jason and Patrick receive? Write your answers in the boxes below. Jason 30 & Patrick 45 Jason 30 & Patrick 15 Jason 30 & Patrick 35 Jason 30 & Patrick 50 None of the Above None 27. The diagram shows two equilateral triangles and a rectangle. Calculate the size of angle a° \[150^{o}\] \[110^{o}\] \[120^{o}\] \[130^{o}\] \[140^{o}\] None 28. a. One the grid above plot all four of the following points and label them A, B, C and D. Join your points to form a rectangle.A(3, 3)B(5, 3)C(5, 7)D(3, 7)28.b. A straight vertical line is drawn so that it passes through 6 on the x axis. This line is shown on the grid already. On the same grid reflect the rectangle ABCD in the line and write down the co-ordinates of all four corners of your new shape. (9, 3) (7,3) (7, 7) (9, 7) (6, 3) (5,3) (8, 7) (6, 7) (8, 3) (7,3) (6, 9) (9, 6) (9, 7) (7,3) (7, 5) (9, 6) None of the Above None 28.c. If, instead, the vertical line had passed through 20 on the x axis and you reflected ABCD inthe new line, what would the co-ordinates of all four corners of your new shape be? (37, 3) (35,5) (35, 7) (37, 7) (35, 3) (37, 5) (33, 7) (34, 7) (33, 3) (32,5) (32, 6) (33, 7) (36, 4) (37, 5) (36, 7) (37, 7) None of the Above None 29. For each of the sequences write down the next three termsa. 3 7 11 15 19 23, 27, 31 24, 28, 32 21, 23, 25 22, 25, 28 None of the Above None 29.b. 8 17 35 71 143 287, 575, 1151 286, 574, 1150 387, 675, 1251 277, 572, 1051 None of the Above None 29.c. \[\frac{13}{17}\] , \[\frac{17}{19}\] , \[\frac{19}{23}\] \[\frac{12}{17}\] , \[\frac{16}{19}\] , \[\frac{18}{23}\] \[\frac{14}{17}\] , \[\frac{13}{19}\] , \[\frac{16}{23}\] \[\frac{13}{17}\] , \[\frac{12}{19}\] , \[\frac{16}{23}\] None of the Above None 29.d. 11 24 46 86 162 310, 610, 1182 410, 510, 1160 324, 620, 1204 300, 600, 1100 None of the Above None 30. In a particular kind of arithmetic a b means multiply a by itself and add the result to the answer you get if you multiply b by itself.So, for example 3°5 = 3 × 3 +5 × 5 = 9 + 25 = 34a. Work out 2º4 20 16 12 18 10 None 30.b. Work out ½ º ½ \[\frac{1}{2}\] \[\frac{1}{4}\] \[\frac{1}{6}\] \[\frac{1}{3}\] None 30.c. Find a positive value of c that works in the following:c º c = 50 5 7 6 4 3 None 31. Three consecutive positive numbers are multiplied together. This means that the second number is 1 more than the first, and the third number is 1 more than the second. For example 4×5×6 8×9×10 15×16×17Circle all statements below that are always true. The answer is divisible by 3 The answer is a multiple of 6 The answer is even The answer is odd The answer is a multiple of 5 The answer is divisible by 8 The answer is prime The answer is a square number None 32. If 5! Means 5×4×3×2×1 and 4! Means 4×3×2×1 a. Work out the value of 6! 720 360 620 520 750 None 32.b. Fill in the box if 3!×4 = 4! 3! 2! 5! 6! None c. Fill in the box if 3!×20 = 5! 3! 6! 7! 2! None 32.d. Fill in both boxes if \[\frac{10}{7!}\] \[\frac{9!}{7!}\] \[\frac{9!}{8!}\] \[\frac{10!}{8!}\] \[\frac{10!}{9!}\] None Time's up
