James Allens Girls School 11 Entrance Examination Sample Paper Mathematics Online Quiz view all papers Welcome to your JAMES ALLEN’S GIRLS’ SCHOOL MATHEMATICS ENTRANCE EXAMINATION 11+ SAMPLE PAPER 1 Time allowed: 45 minutes Show all your working Write your answers in the spaces provided. Do not spend too long on any question. If you are finding a question difficult, move on to the next one. NO CALCULATORS ALLOWED1. 275 648+ 97 ________ 1020 1000 820 1010 1222 None 2. 1003 - 837 ______ 166 176 186 86 1004 None 3. 587 x 7 _______ 4109 4069 3072 5210 6013 None 4. 4716 ÷ 9 524 534 514 624 634 None 5. 2492 ÷ 28 89 79 69 59 44 None 6. Cheese costs £5.40 per kg. Jessica buys 0.6kg of cheese.How much does Jessica pay? £3.24 £3.04 £3.54 £2.25 £4.24 None 7. There are 31 days in July. Each day throughout July I picked300g of raspberries from my garden.What was the total weight of the raspberries I picked thatmonth? Give your answer in kilograms. 9.3kg 9.5kg 8.3kg 9300kg 7.3kg None 8. A sheet of graph paper is placed with its x-axis pointing dueEast and its y-axis pointing due North. A sluggish snail starts atpoint (0, 0) and slowly, but smoothly, slithers 1 unit North, 2units East, 3 units South, 4 units West, 5 units North, 6 unitsEast, 7 units South, 8 units West, 9 units North and (lastly!) 10units East.At which point does the snail finally arrive? (6,5) (7,8) (4,5) (2,3) (6,7) None 9. Write down the next term in each of these sequences(a) 14, 25, 36, 47, ———— 58 57 55 56 59 None (b) 7000, 700, 70, 7, ———— 0.7 0.07 70 0.007 10 None (c) 2, 7, 22, 67,———— 202 268 201 182 181 None (d) 23, 16, 9, 2 , ———— -5 5 9 6 3 None 10. (a) A tin of cookies costs £3.69 and a bag of jelly babies cost£1.55Tracey and Cat buy 2 tins of cookies and a bag of jellybabies. They pay with a £20 note. How much changeshould they get?£%BLANK% £ 11.07 £ 9.52 £ 12 £ 8.93 £ 11.17 None (b) A normal tin contains 40 cookies.A special offer tin contains \[\frac{3}{10}\] more cookies.Work out how many cookies there are in a special offer tin. 52 40.3 12 32 65 None 11. Roger drops his ball onto a hard surface. Each time it bounces,it rebounds to exactly one third of the height from which it fell.After the second bounce the ball rises to a height of 9cm.From what height was it originally dropped? 81cm 9cm 36cm 54cm 63cm None (a) Which city had the lowest temperature at midnight? York Norwich Liverpool Bristol Manchester None (b) Which city had the greatest rise in temperaturebetween midnight and midday? Liverpool York Norwich Bristol Manchester None (c) What is the greatest difference in temperature betweenany two cities at midnight? -9 9 5 -5 8 None (d) Which of the five cities is being described here?‘It’s temperature at midday is 6°C higher than thetemperature in York and its temperature at midnight is 2°Chigher than the temperature in Liverpool’. Manchester York Norwich Bristol Liverpool None (a) \[\frac{3}{4}\] + \[\frac{5}{6}\] \[\frac{19}{12}\] \[\frac{8}{10}\] \[\frac{11}{13}\] \[\frac{17}{21}\] \[\frac{13}{3}\] None (b) \[\frac{4}{5}\] - \[\frac{2}{3}\] \[\frac{2}{15}\] \[\frac{2}{12}\] \[\frac{1}{3}\] \[\frac{11}{16}\] \[\frac{9}{13}\] None (c) \[\frac{1}{7}\] x \[\frac{2}{3}\] x 21 = 2 1 3 4 7 None 14. A comb for horses has 100 teeth, each 1 mm wide. The gapsbetween the teeth are also 1 mm wide.How long is the comb in centimetres? ———— cm 19.9cm 10.0cm 18.8cm 19.5cm 12.5cm None (a) Natasha made 60 Chocolate Brownies.How much butter did she use? ———— g 440g 330g 240g 540g 640g None (b) Stella has 150 grams of flour and 300 grams of nuts,and plenty of the other ingredients. She makes asmany Chocolate Brownies as she can.Which ingredient will she run out of, flour or nuts? Showhow you decide. nuts flour chocolate sugar none of the above None (c) Pauline wants to make 10 Chocolate Brownies, howmuch sugar will she need? 150g 250g 200g 350g 300g None 16. (a) How big is angle x in this diagram? 104 113 76 120 130 None (b) What is the value of x in this diagram? 75 65 85 95 55 None (a) In which country did the greatest number of people own acomputer? Hong Kong Italy Greece korea Kuwait None (b) Write down the number of people in Italy who owned acomputer. 175 200 150 120 100 None (c) In which country did 240 people own a computer? korea Hong Kong Italy Greece Kuwait None 18. Natasha is making a coloured tower as shown. She has thirtysix small cubes, with equal numbers of red (R), blue (B) andyellow (Y). Each row is of one colour, and no two rows whichare next to each other are the same colour. The top three rowsare coloured as indicated.What colour must the bottom row be? Red Blue Yellow Green none of the above None 19. (i) Gill has 5 pink, 7 purple and 8 orange counters in abag. If she selects a counter without looking, what is theprobability she chooses a pink counter? \[\frac{1}{4}\] \[\frac{1}{3}\] \[\frac{1}{5}\] \[\frac{1}{6}\] \[\frac{1}{9}\] None (ii) If Gill wants to double her chances of choosing a pinkcounter, how many extra counters should she add to thebag? 10 20 30 40 50 None 20. Natalie, Sara and Antonia catch 3 different buses to go to thesame destination.Antonia catches the 19:15 bus.Natalie’s bus journey takes three times as long as Sara’s. Natalie’sbus leaves 20 minutes before Antonia’s bus and arrives at 20:10.Sara catches the 19:25 bus.What time does Sara arrive at the destination? 19:50 11:25 18:55 17:50 20:50 None 21. How much smaller is the area of a 60cm by 40cm rectanglethan that of a square with the same perimeter? %BLANK% 100\[cm^{2}\] 200\[cm^{2}\] 300\[cm^{2}\] 400\[cm^{2}\] 50\[cm^{2}\] None 22. Jack likes to eat lots of fruit. He finds that four apples and twooranges cost £1.54 and that two oranges and four bananascost £1.70.How much would he have to pay if he bought one apple, oneorange and one banana? £ 0.81 £ 0.56 £ 0.71 £ 0.61 £ 0.51 None Time's up
