FOREST SCHOOL-Paper 3 by smoothmaths | Jun 23, 2020 | 0 comments Welcome to your FOREST SCHOOL 11+ Paper 3 1. Workout 694+888ANSWER15821472157214821592 2. Workout 1234-566ANSWER668778768678658 3. Workout 764 x 7ANSWER53484928522852484948 4. Workout 20504 ÷ 8ANSWER2563255326532363None of the Above 5. In 1970 £1 was worth the same as $2.50. How many pounds was $1000 worth?ANSWER£400£300£200£500£600 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 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?\[\frac{1}{6}\]\[\frac{1}{4}\]\[\frac{1}{3}\]\[\frac{1}{5}\]\[\frac{1}{2}\] 8. Mayank thinks of a number. He doubles it and then adds 4 and gets the answer 40. What was Mayank’s number?1816141211 9. Write in words the number 4040440Four million Forty Thousand Four Hundred and fortyForty million Four Thousand Four Hundred and fortyFour million Four Thousand Four Hundred and fortyFour million Forty Thousand Four HundredRetrieving data. Wait a few seconds and try to cut or copy again. 10. What number is halfway between -3 and 8?2.53.51.54.55.5 11. A programme starts at 9:15pm and ends at 11:06pm. How many minutes did it last?111minutes100minutes121minutes101minutes110minutes 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 finished7.74.76.78.75.7 13. 126 is halfway between two numbers. One of the numbers is 0.11. What is the other number?0.1420.2420.1520.1220.132 14. Khatijah throws two dice and adds together the scores. How many different ways can she score 8? Show each different way clearly.56789 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? 9hours8hours7hours6hoursNone of the Above 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?4locusts8locusts6locusts2locusts3locusts 17. What is the smallest number that 3, 4, and 10 all go into?6012203050 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 ——–— secs4 mins 18 secs2 mins 12 secs3 mins 15 secs5 mins 20 secs6 mins 24 secs 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? 500400300700200 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 ?\[\frac{4}{23}\]\[\frac{12}{23}\]\[\frac{8}{23}\]\[\frac{10}{23}\]\[\frac{5}{23}\] 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%\[\frac{5}{11}\]\[\frac{6}{11}\]\[\frac{4}{11}\]\[\frac{5}{23}\]\[\frac{6}{23}\] 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? 2527364916 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?1412161015 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? 34567 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 = GHB0 & 51 & 62 & 73 & 51 & 4 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% NoYesIt may be a multiple of 11It may be a multiple of 13None of the Above 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 & 03 & 24 & 16 & 05 & 2 27. What is 6 metres per second in kilometres per hour?21.6km/h16.5km/h22.8km/h20.7km/h22.6km/h 28. Safiya draws a rectangle. She then adds 10cm to each side What has the perimeter increased by? 40cm50cm30cm20cm60cm 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? 32minutes28minutes30minutes34minutes36minutes 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.2ways4ways1way3waysNone of the Above 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<10Abundant because sum>10niether Abundant nor deficientIt’s an even numberNone of the Above 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>12Deficient because sum<12niether Abundant nor deficientIt’s an even numberNone of the Above 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 factorNo Because all prime number have more than one factorsyes Because all prime number has no factoryes Because all prime number are their ownfactorNone of the Above 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 liesMolly Always tells Truth, Olivia always lies & Katie sometime tell truth & sometime liesOlivia Always tells Truth, Katie always lies& Molly sometime tell truth & sometime liesKatie Always tells Truth, Olivia always lies& Molly sometime tell truth & sometime liesNone of the Above 33. Reflect these shapes in the mirror lines12hours8hours6hours14hours10hours Time is Up!