JAMES ALLEN’S GIRLS’ SCHOOL MATHEMATICS ENTRANCE EXAMINATION 11+ SAMPLE PAPER 1 by smoothmaths | Jun 19, 2020 | 0 comments 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 ALLOWED 1. 275 648+ 97 ________1020100082010101222 2. 1003 - 837 ______ 166176186861004 3. 587 x 7 _______41094069307252106013 4. 4716 ÷ 9524534514624634 5. 2492 ÷ 288979695944 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 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. 9.3kg9.5kg8.3kg9300kg7.3kg 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) 9. Write down the next term in each of these sequences (a) 14, 25, 36, 47, ————5857555659 (b) 7000, 700, 70, 7, ————0.70.07700.00710 (c) 2, 7, 22, 67,————202268201182181 (d) 23, 16, 9, 2 , ————-55963 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 (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. 5240.3123265 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? 81cm9cm36cm54cm63cm (a) Which city had the lowest temperature at midnight? YorkNorwichLiverpoolBristolManchester (b) Which city had the greatest rise in temperaturebetween midnight and midday? LiverpoolYorkNorwichBristolManchester (c) What is the greatest difference in temperature betweenany two cities at midnight? -995-58 (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’. ManchesterYorkNorwichBristolLiverpool (a) \[\frac{3}{4}\] + \[\frac{5}{6}\] \[\frac{19}{12}\]\[\frac{8}{10}\]\[\frac{11}{13}\]\[\frac{17}{21}\]\[\frac{13}{3}\] (b) \[\frac{4}{5}\] - \[\frac{2}{3}\] \[\frac{2}{15}\]\[\frac{2}{12}\]\[\frac{1}{3}\]\[\frac{11}{16}\]\[\frac{9}{13}\] (c) \[\frac{1}{7}\] x \[\frac{2}{3}\] x 21 = 21347 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? ———— cm19.9cm10.0cm18.8cm19.5cm12.5cm (a) Natasha made 60 Chocolate Brownies.How much butter did she use? ———— g440g330g240g540g640g (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. nutsflourchocolatesugarnone of the above (c) Pauline wants to make 10 Chocolate Brownies, howmuch sugar will she need? 150g250g200g350g300g 16. (a) How big is angle x in this diagram? 10411376120130 (b) What is the value of x in this diagram? 7565859555 (a) In which country did the greatest number of people own acomputer?Hong KongItalyGreecekoreaKuwait (b) Write down the number of people in Italy who owned acomputer.175200150120100 (c) In which country did 240 people own a computer? koreaHong KongItalyGreeceKuwait 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?RedBlueYellowGreennone of the above 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? \[\frac{1}{4}\]\[\frac{1}{3}\]\[\frac{1}{5}\]\[\frac{1}{6}\]\[\frac{1}{9}\] (ii) If Gill wants to double her chances of choosing a pinkcounter, how many extra counters should she add to thebag? 1020304050 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? 19:5011:2518:5517:5020:50 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\[cm^{2}\] 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 Time is Up!