FOREST SCHOOL-Paper 3 by smoothmaths | Jun 23, 2020 | 0 comments Welcome to your FOREST SCHOOL 11+ Paper 3 1. Workout 694+888ANSWER 1582 1472 1572 1482 1592 None 2. Workout 1234-566ANSWER 668 778 768 678 658 None 3. Workout 764 x 7ANSWER 5348 4928 5228 5248 4948 None 4. Workout 20504 ÷ 8ANSWER 2563 2553 2653 2363 None of the Above None 5. In 1970 £1 was worth the same as $2.50. How many pounds was $1000 worth?ANSWER £400 £300 £200 £500 £600 None 6. Calculators normally cost £6 and protractors normally cost 30p. In a sale, calculators have been reduced by a quarter and protractors are half price. David bought 8 calculators and 20 protractors. How much did he have to pay?ANSWER £39 £32 £36 £30 £29 None 7. Jordan eats \[\frac{1}{4}\] of a pizza and Anna eats \[\frac{1}{3}\] of what is left. Rohit, Guhesh and Matilda share equally the remainder. What fraction of the pizza did Matilda eat? \[\frac{1}{6}\] \[\frac{1}{4}\] \[\frac{1}{3}\] \[\frac{1}{5}\] \[\frac{1}{2}\] None 8. Mayank thinks of a number. He doubles it and then adds 4 and gets the answer 40. What was Mayank’s number? 18 16 14 12 11 None 9. Write in words the number 4040440 Four million Forty Thousand Four Hundred and forty Forty million Four Thousand Four Hundred and forty Four million Four Thousand Four Hundred and forty Four million Forty Thousand Four Hundred Retrieving data. Wait a few seconds and try to cut or copy again. None 10. What number is halfway between -3 and 8? 2.5 3.5 1.5 4.5 5.5 None 11. A programme starts at 9:15pm and ends at 11:06pm. How many minutes did it last? 111minutes 100minutes 121minutes 101minutes 110minutes None 12. Grace plants a row of daffodils. There is a gap of 1.1 metres between each daffodil, and the row begins and ends with a daffodil. She has 8 daffodils. How long is the row of daffodils when she has finished 7.7 4.7 6.7 8.7 5.7 None 13. 126 is halfway between two numbers. One of the numbers is 0.11. What is the other number? 0.142 0.242 0.152 0.122 0.132 None 14. Khatijah throws two dice and adds together the scores. How many different ways can she score 8? Show each different way clearly. 5 6 7 8 9 None 15. Hiring a Sports Hall costs a £30 booking fee and then £10 per hour. Chris hires it and pays £120. How many hours did Chris hire the hall for? 9hours 8hours 7hours 6hours None of the Above None 16. Jerry the bearded dragon eats 12 locusts for breakfast at the start of every day. His owner buys 100 locusts one afternoon for Jerry to eat. How many locusts does Jerry get on the day these locusts run out? 4locusts 8locusts 6locusts 2locusts 3locusts None 17. What is the smallest number that 3, 4, and 10 all go into? 60 12 20 30 50 None 19. Prasha is swimming lengths at her local swimming pool. She takes 24 seconds to swim a length doing front crawl. She takes 60 seconds to swim a length doing breaststroke. She swims 3 lengths of each (so a total of 6 lengths). The last length takes an extra 6 seconds as she gets tired. How long did she take to swim all 6 lengths? Give your answer in minutes and seconds. ANSWER ——–— mins ——–— secs 4 mins 18 secs 2 mins 12 secs 3 mins 15 secs 5 mins 20 secs 6 mins 24 secs None 20. Ermintrude the female cat flea can lay 50 eggs a day. These become adults in 30 days. How many new adult fleas will there be in 40 days? 500 400 300 700 200 None 21. Complete the table showing whether pupils walk to school or not and answer the questions below.(i)What fraction of the pupils are boys who walk to school ? \[\frac{4}{23}\] \[\frac{12}{23}\] \[\frac{8}{23}\] \[\frac{10}{23}\] \[\frac{5}{23}\] None 21. Complete the table showing whether pupils walk to school or not and answer the questions below.(ii) What fraction of the girls don’t walk to school? %BLANK% \[\frac{5}{11}\] \[\frac{6}{11}\] \[\frac{4}{11}\] \[\frac{5}{23}\] \[\frac{6}{23}\] None 22. 36 is a square number because it can be written 6 x 6. Similarly, 64 = 8 x 8 is a square number. 1000 is a cube number because it can be written 10 x 10 x 1 Similarly, 343 = 7 x 7 x 7 is a cube number. The French mathematician Pierre de Fermat claimed correctly that there is only one square number that is 2 less than a cube number. It is less than 50. What is it? 25 27 36 49 16 None 23. A game is played on a board with spaces numbered 1, 2, 3, 4, 5, 6, 7….. and so on. In the game players throw a dice numbered 1 to 6 and move forward the number of spaces indicated unless they throw a 6. If they throw a 6 they do not move but have to go back the number on the next throw. What space would you end up on after these 8 throws: 5, 5, 3, 6, 2, 6, 1, 4? 14 12 16 10 15 None 24. On the planet Zog the wibbles and the wobbles are having their annual conference. A wibble has 6 arms and a wobble has 5 arms. There are 11 wibbles and a total of 81 arms at the conference. How many wobbles are there? 3 4 5 6 7 None 25. In this addition each letter represents a different digit. List all the possible digits that A could be NA + RA + TA = WXA ANSWER %BLANK%In this multiplication each letter represents a different digit. List all the possible digits that B could NOT be. MB x NB = GHB 0 & 5 1 & 6 2 & 7 3 & 5 1 & 4 None 26. A number is a multiple of 11 if 11 goes into it. 33 and 121 are both multiples of 11. Ajay says that a number is a multiple of 11 if the difference of alternate sums of digits in the number is a multiple of 11. So, 27390628 is a multiple of 11 because 2 + 3 + 0 + 2 = 8 7 + 9 + 6 + 8 = 30 and 30 – 8 = 22 which is a multiple of 11. (a)Is 978261 a multiple of 11? Show your working clearly.ANSWER %BLANK% No Yes It may be a multiple of 11 It may be a multiple of 13 None of the Above None 26. A number is a multiple of 11 if 11 goes into it. 33 and 121 are both multiples of 11. Ajay says that a number is a multiple of 11 if the difference of alternate sums of digits in the number is a multiple of 11. So, 27390628 is a multiple of 11 because 2 + 3 + 0 + 2 = 8 7 + 9 + 6 + 8 = 30 and 30 – 8 = 22 which is a multiple of 11. (b) Find one of the ways to fill in the gaps so that this number is a multiple of 11.7 %BLANK% 5 6 %BLANK% 0 5 & 0 3 & 2 4 & 1 6 & 0 5 & 2 None 27. What is 6 metres per second in kilometres per hour? 21.6km/h 16.5km/h 22.8km/h 20.7km/h 22.6km/h None 28. Safiya draws a rectangle. She then adds 10cm to each side What has the perimeter increased by? 40cm 50cm 30cm 20cm 60cm None 29. Kasey takes 24 minutes to cycle from A to B Shayban cycles at three quarters of Kasey’s speed. How long does it take Shayban to cycle from A to B? 32minutes 28minutes 30minutes 34minutes 36minutes None 30. How many ways are there of colouring in three squares in this grid so that exactly one coloured square appears in each row and each column? Show clearly how you get your answer. 2ways 4ways 1way 3ways None of the Above None 31. A number is deficient if its factors, not including itself, add up to a number less than the original number. If they add up to more, it is abundant. So 8 is deficient because its factors add up to 1 + 2 + 4 = 7 which is less than 8. Are the following numbers deficient or abundant? Explain clearly your reasoning.(a) 10ANSWER ——–— BECAUSE ——–— Dedficient because sum<10 Abundant because sum>10 niether Abundant nor deficient It’s an even number None of the Above None 31. A number is deficient if its factors, not including itself, add up to a number less than the original number. If they add up to more, it is abundant. So 8 is deficient because its factors add up to 1 + 2 + 4 = 7 which is less than 8. Are the following numbers deficient or abundant? Explain clearly your reasoning.(b) 12ANSWER——–— BECAUSE——–— Victor says that all prime numbers are deficient. Do you agree? Explain your reasoning carefullyANSWER %BLANK% BECAUSE %BLANK% Abundant because sum>12 Deficient because sum<12 niether Abundant nor deficient It’s an even number None of the Above None 31. A number is deficient if its factors, not including itself, add up to a number less than the original number. If they add up to more, it is abundant. So 8 is deficient because its factors add up to 1 + 2 + 4 = 7 which is less than 8. Are the following numbers deficient or abundant? Explain clearly your reasoning. Katie, Molly and Olivia are three friends. One of them always tells the truth. One of them always lies. The other one sometimes tells the truth and sometimes lies. Katie says: I always lie. Olivia says: Katie sometimes lies and sometimes tells the truth. Use this information to determine which person is which. Always tells the truth %BLANK%Always lies %BLANK%Sometimes tells the truth and sometimes lies %BLANK% yes Because all prime number has only one factor No Because all prime number have more than one factors yes Because all prime number has no factor yes Because all prime number are their ownfactor None of the Above None 32. Alan and Bob can paint a room in 4 hours. Bob would take 6 hours on his own. How long would Alan take on his own? Olivia Always tells Truth, Molly always lies& Katie sometime tell truth & sometime lies Molly Always tells Truth, Olivia always lies & Katie sometime tell truth & sometime lies Olivia Always tells Truth, Katie always lies& Molly sometime tell truth & sometime lies Katie Always tells Truth, Olivia always lies& Molly sometime tell truth & sometime lies None of the Above None 33. Reflect these shapes in the mirror lines 12hours 8hours 6hours 14hours 10hours None Time's up
