Highgate School 11 Plus Assessment Sample Mathematics Test BOnline Quiz view all papers Welcome to your HIGHGATE SCHOOL 11+ SAMPLE PAPER 31. Remember to include your working to show us how you find your answers. Some animals are being sole! at a pet stop. a) Hamsters cost £7.50 each and gerbils cost £3.20 each. Javier buys d hamsters and 3 gerbils. How much did Javier spend in total? Javier spends £ £ 39.60 £ 9.90 £ 37.60 £ 3.960 £ 396.0 None b) Goldfish are kept in large tanks. Each tank can hold up to 13 fish. There are 193 goldfish in the stop. How many tanks are needed to hold all of these goldfish? _______ tanks are needed 15 16 14 12 10 None c) Chickens and chicks all have 2 wings. There are 8 chickens in the stop, and each of these 8 chickens has 5 chicks. How many wings are there in total? ______ wings 96 86 90 100 80 None d) 7 cat bowls cost the same as d clog leads. 3 cat bowls cost £72. What does a dog lead cost? A dog lead costs £ ______ £ 42 £ 40 £ 35 £ 30 32 None e) The stop has a sale on stick insects: “buy 3 stick insects and get a 4th stick insect free”.Ahmed paid £17.85 for 20 insects. What is the cost of 1 stick insect? A stick insect costs £ ______ £ 1.19 £ 11.9 £ 1 £ 11 £ 15 None 2. Remember to include your working to show us how you find your answers.a) In a clarity fun run one sixth of the runners were adults, and the rest were children. There were 120 adults in the race. How many children were running the race? ______ children. 600 100 500 650 700 None b) Tickets to enter a fairground cost £7.00 for adults and £3.00 for children. Once inside the fairground, each ride costs £3.00 for adults and £1.50 for children.Joe and his 2 grandchildren, Amy and Peter, go to the fairground. Joe goes on 2 rides, and Peter goes on four times as many rides as Amy.In total they spend £34.00 between them. How many rides did Peter go on? Peter goes on _____ rides 8 2 15 9 7 None c) A watch stop has a 2 day winter sale. On the first day, two thirds of all the watches are sold. On the second day, a quarter of the remaining watches are sold.The stop sold Z2 watches on the first day. How many watches were sold on the second day? ______ watches 9 7 8.6 10 8 None d) A rectangle is split into 2 smaller rectangles, labelled A and B. Rectangle A is shaded. One seventh of the original rectangle is shaded. With scissors I cut off and remove a third of rectangle B. What fraction of the remaining shape is now shaded? _______ \[\frac{1}{5}\] \[\frac{2}{5}\] \[\frac{5}{1}\] \[\frac{1}{3}\] \[\frac{1}{2}\] None 3. Remember to include your working to show us how you find your answers.a) A bag contains 600 sweets. Sweets are either red, blue or green. There are 8 more red sweets than blue sweets. 30% of the sweets are blue. How many sweets are green? ______ green sweets 232 242 342 332 230 None b) In a sale, the price of a toy car is reduced by 40%. I buy the toy car for £42. What did it cost before the sale? £ ______ £ 70 £ 105 £ 75 £ 7 £ 80 None c) Fido the dog ate 16 pork sausages and 24 lamb sausages . What percentage of Fido's sausages were lamb ? _____ % 0.6 0.7 0.5 0.4 0.8 None d) Jack and Jill are buying chocolates in a Chocolate Stop. Jack bought 6 chocolate frogs and 5 truffles for 59.55. Jill bought 3 chocolate frogs and 3 truffles for E5.25. How much does a chocolate frog cost, one! how much does a truffle cost? A chocolate frog costs ______ C=£ 0.80 , D=£ 0.95 C=£ 0.80 , D=£ 9.50 C=£ 0.08 , D=£ 0.95 C=£ 4.30 , D=£ 0.95 C=£ 0.80 , D=£ 8.50 None e) An artist mixes red , yellow and white paint to create a new shade of orange. Two filths of the mixture is yellow paint. The artist uses three times as much red paint as white paint. In total , the artist mixes l80ml of orange paint. How much red paint does the artist need? ______ ml of red paint 81ml 112ml 61ml 189ml 71ml None 4. a) James has 15 sweets in his pocket. He has 7 rec! sweets, 6 blue sweets, one! 2 pink sweets. Without looking, be removes some sweets from his pocket one! places them on the table. What is the smallest number of sweets be should remove to guarantee that be has at least one sweet of each colour? _____ sweets 14 12 16 17 18 None b) Four identical rectangles are joined together to form a larger rectangle, as shown below. The area of the larger rectangle is 192\[cm^{2}\] . Find the length of the side labelled X. The length X is ______ cm 12cm 48cm 24cm 8cm 15cm None c) Karen wants to find the value of 1+2+3+4+5+6+7+8+9+10. Rather than just doing the calculation ,She notices that she can reorder the number is a clever way: 1+10+2+9+3+8+4+7+5+6 . She does this because 1+10, 2+9, 3+8 etc all add up to 11 , and so her sum simplifies to 11+11+11+11+11, which equals 55. Using Karen's method , add up all of the whole numbers from 1 to 20. ______ 210 110 200 120 230 None d) Tina is an athlete , and she is completing a difficult training session. Her coach makes her run 5 metres forwards , then 5 metres back , then 10 metres forwards then 10 metres back , then 15 metres forwards, 15 metres back, and this continues until she has run 100 metres forwards, then 100 metres back. How far does Tina run in total? ______ 2100 1100 2000 1200 2300 None Time's up
