James Allens Girls School 11 Plus Sample Maths Entrance Examination Online Quiz view all papers Welcome to your JAMES ALLEN’S GIRLS’ SCHOOL 11+ ENTRANCE EXAMINATION SAMPLE PAPER MATHEMATICSTime: 45 Minutes Show all your working in the space for each question. Do not spend too long on any question. If you are finding a question difficult, move on to the next one. Do not worry if you are unable to finish all the questions. NO CALCULATORS ALLOWED USE PENCIL1. 295 749 + 86 ____ 1130 910 1110 930 1010 None 2. 1231 - 744 ________ 487 587 597 497 None of the Above None 3. 576 x 8 ________ 4608 4668 4568 4508 4068 None 4. 3465 ÷ 9 385 280 485 380 285 None 5. Natalie buys 3 small bags of peanuts and pays with a £2 coin. She receives 80p change. How much does each bag cost? 40p 20p 30p 15p 25p None 6. Write down the next two numbers in each of these sequences: None a) 30000, 3000, 300, 30, 3 & 0.3 2 & 0.2 4 & 0.4 0.3 & 0.03 None of the Above None b) 3, 6, 12, 24, 48 & 96 -12 & -6 26 & 28 22 & 20 28 & 32 None c) 1, 1, 2, 3, 5, 8, 13 & 21 12 & 17 13 & 18 14 & 21 None of the Above None d) 1, 4, 9, 16, 25 & 36 36 & 49 49 & 64 25 & 49 None of the Above None 7. Find three prime numbers that add up to 30 2, 5, 23 3,11,17 7,11,13 13,7,11 None of the Above None 8. Two fifths of the children in a swimming pool are boys. There are 72 girls in the pool. How many boys are there? 48 24 32 28 38 None 9. The line graph below can be used to change pounds sterling into Norwegian kroner. a) How many kroner would I get for 90p? 16kroner 18kroner 12kroner 14kroner 10kroner None b) How much are 12 kroner worth? 66p 70p 68p 64p 62p None c) Jo buys some sweets and a magazine that cost £5 . 10. How much is this in kroner? 92kroner 88kroner 90kroner 85kroner None of the Above None 10. Gill's garden is 48 m long and 10 m wide and she wants to cover it with peat which comes in 60 kg sacks. 10 kg of peat covers an area of 20 \[m^{2}\] . Work out the area of the garden: 480\[m^{2}\] 280\[m^{2}\] 580\[m^{2}\] 380\[m^{2}\] 200\[m^{2}\] None How many sacks of peat does Gill need for the whole garden? 4 6 8 2 None of the Above None 11. Calculate(a) \[\frac{2}{3}\] + \[\frac{5}{6}\] \[\frac{9}{6}\] \[\frac{3}{2}\] \[\frac{7}{6}\] \[\frac{5}{6}\] Both 'a' & 'b' None b) \[\frac{5}{6}\] - \[\frac{3}{4}\] \[\frac{1}{12}\] \[\frac{5}{12}\] \[\frac{2}{12}\] \[\frac{3}{12}\] \[\frac{9}{12}\] None c) What fraction in the diagram below is shaded? \[\frac{1}{4}\] \[\frac{3}{4}\] \[\frac{1}{3}\] \[\frac{1}{2}\] None of the Above None 12. None The co-ordinates of the three corners of a rectangle are: A ( 2 , 0 ) , B ( 0 , 4 ) , C ( 10 , 4 ) Plot these points on the axes above. Join A to B and A to C to give 2 sides of the rectangle. Mark corner D on your diagram. Write down the co-ordinates of DDraw all the lines of symmetry of the rectangle on your diagram. (8,8) (7,7) (9,9) (7,8) (8,9) None 13. Sara starts her maths homework at 4.30 pm and she finishes it at 6.10 pm. During that time she watches 'Neighbours' for 25 minutes and she speaks to her friend Jean on the telephone for 20 minutes. How long is Sara actually working on her maths? 55minutes 65minutes 45minutes 35minutes None of the Above None 14. How many 26p stamps can Antonia buy for £10 and how much change will she receive? 38stamps & 12p change 35stamps & 8p change 48stamps & 14p change 28stamps & 20p change 45stamps & 16p change None 15. None i) What was the rainfall on Tuesday ? 5mm 7mm 4mm 8mm 6mm None ii) How much more rain was there on Monday than Sunday ? 2mm 5mm 3mm 6mm 4mm None iii) Find the total rainfall for the week ? 33mm 39mm 43mm 23mm None of the Above None iv) What is the average daily rainfall ? 4.71mm 2.91mm 3.80mm 5.91mm 6.20mm None 16. Pauline has 90p that she wants to share between 7 girls and 4 boys so that the girls each have twice as much as the boys. How much does each girl and each boy receive? Girl: Boy: Girl 10p, Boy 5p Girl 20p, Boy 10p Girl 5p, Boy 10p Girl 12p, Boy 6p Girl 16p, Boy 8p None 17. This pie chart represents the favourite takeaway foods of 180 students. None (a) Which takeaway food was the favourite of 4 of these students? Indian Thai Pizza Chinese None of the Above None (b) What fraction of these students chose Chinese? \[\frac{1}{3}\] \[\frac{1}{4}\] \[\frac{1}{2}\] \[\frac{2}{3}\] \[\frac{3}{4}\] None (c) Work out the size of the angle for Thai. 50 70 60 80 45 None (d) How many of the 180 students chose Pizza? 50 Students 45 Students 60 Students 55 Students 70 Students None 18. To encourage her to tidy her bedroom, Cathy is given 1 p on the first day, 2p on the second day, 4p on the third day and so on, doubling the amount each day. How much has she been given after 8 days? 255 235 220 245 155 None 19. The total of the opposite faces on a dice is always 7. Jack places three dice on a table as shown in the diagram. What is the total score of the faces that Jack cannot see? 17 18 20 10 13 None 20. Calculate the perimeter of this shape stating your units very carefully 7.4m 6.4m 7.25m 7m 5.4m None 21. Jack dances clockwise around the Maypole, making one revolution every five seconds. Starting from a point diametrically opposite Jack's starting point. Gill dances anticlockwise, making one revolution every six seconds. How many times do they pass each other in the first minute? 22 10 12 20 30 None Time's up
