Numerical Reasoning Practice Test for Year 8 Students

NUMERICAL REASONING YEAR 8 - ELWOOD SEHS Format HENTER U You may use the back of your answer sheet for your working. This is what you are given at the real exam to use as working paper. *DO NOT WRITE ANYWHERE ELSE ON THE EXAM PAPER* This test asks you to look at numerical reasoning material and to answer 50 questions on this material. Instructions. e For each question you are given five (5) possible answers marked A, B, C, D. or E. You must choose the answer that you think is correct and mark its letter (A, B, C, D or E) on the answer sheet. e Do not spend too much time on any one question; you may come back to the difficult ones later if you have time. e Be sure that the question number on your answer sheet corresponds to the number of the question that you are answering. e If you think that you know an answer, mark it even if you are not certain it is correct. There are no marks deducted for incorrect answers. e If you decide to change an answer, erase it completely and mark your new answer. e You will have 30 minutes to do this test. Once you start this test, keep working until you have finished all the questions or the supervisor tells you to stop. ' a warning when there are fifteen (15) minutes Hendersons Educational Services Pty Ltd materials, including workbooks and practice exams, are protected by the Copyright Laws of Australia. All rights are reserved. No material may be reproduced, photocopied or used by any person other than the original client. © Hendersons Educational Services Pty Ltd 2022 A.B.N 96 070 097 639 info@hendersons.com.au www.hendersons.com.au numerical reasoning - elwood (2).docx Page 3 of 22

Question 1 What would be the next number in this series? L2] [&] [[4] [30] [2] moow>» 66 34 60 15 62 Question 2 The numbers in the grid have patterns in the rows and columns. What is the missing number in the grid?. 16 24 30 12 20 26 4 ? 18 moow>» Question 3 Which one of the following options is the missing number? moow» 54 42 55 58 62 ? 37 7 8 50 22 26 GO TO NEXT PAGE numerical reasoning - elwood (2).docx Page 4 of 22

Question 4 The population of a small country town was 7 280 last year. This year the population has increased by 5%. What is the new population of the town? 7 285 7 644 6 916 7780 7 850 moow» Question 5 Sam’s age was a third of Jenny’s age three years ago. If Jenny is now 12, how old is Sam now? 7 years old 5 years old 12 years old 2 years old 6 years old moow» Question 6 What is the sixteenth number in the following series? [121 ] (114 ] [107 ] A. 72 B. 61 C. 47 D. 34 E. 23 Question 7 Find the missing number in the series below. 14, 196, ?, 144, 10, 100 A. 13 B. 169 C. 12 D. 11 E. 18 GO TO NEXT PAGE numerical reasoning - elwood (2).docx Page 5 of 22

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Question 8 If the codes for ginger, onions, peas and corn are 794792, 0789, 5312 and 649638 but not in that order, then the code for ESCAPING is: moowp 32015469 30251476 32015496 30154963 32014596 Question 9 Three runners are in training for the soccer season ahead. They each run the 2 kilometre training route, at a constant speed. When the first runner had finished the route on Tuesday, ahead of the third runner. If the second and third runners keep running at their constant speed, how far from the finish is the third runner, when the second runner finishes? moow»> 400 metres 500 metres 300 metres 200 metres 600 metres Question 10 Find the missing numbers. Page 6 of 22 she was 400 metres ahead of the second runner and 800 metres GO TO NEXT PAGE numerical reasoning - elwood (2).docx

Question 11 The numbers 1 to 9 must appear in each row, column and 3 x 3 block. Following these rules, which one of the following options will fit in the blank space? 3/ 8|6|7|1(9]|]4)|2]|5 114 |7]15|3| 218|689 92|54 |6 |8||1|7]|3 5|1 ,8|9|4 |76 |3|2 21 9/4|6 |8 |3]5 7 7163|251 8|3 |9|1|7|5]|2|4]|6 4 |7 |2|8|9|6]3|5]|1 6|5 (1|3 |2 |4|7 |98 A. B. G £ 8 1 1 4 1 9|74 8|49 4/819 48 9|84 Question 12 A train travelled at an average speed of 95 km/h for its non-stop 2-5 hr journey. If the train’s speed for the first hour of the journey was 90 km/h and 100 km/h for the final 20% of its journey, at what average speed did it travel for the middle part of its journey? A. 102:5km/h B. 94 km/ C. 110km/h D. 97:5km/h E. 90km/h Page 7 of 22 GO TO NEXT PAGE numerical reasoning - elwood (2).docx

Use the following graph to answer Question 13 and Question 14 The graph below shows the depth of the water in my tank in centimetres, as measured on the first day of the month from January to August last year. Water level cm 2m A}, Y b —————————s ....... : Date of measurement Question 13 In which period did the amount of water in the tank increase most rapidly? moow>» January to February April to May June to July June to August February to March Question 14 Using the graph above, which one of the following statements is untrue? A. B C. D. E The amount of water in the tank was lower on 15t March than on 1t February. The amount of water in the tank decreased more rapidly in May than in March. The amount of water in the tank was more on 1st January than on 1%t April. The amount of water in the tank increased in both June and July. The amount of water in the tank remained the same between 1t February and 18t March. GO TO NEXT PAGE numerical reasoning - elwood (2).docx Page 8 of 22

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Question 15 Find the missing number. 28 moowp N ()] Question 16 Six friends went on a holiday together. They were unable to sit in the same row but were able to book two seats together in three consecutive rows, (directly behind each other in seats lettered B and C). If the numbers of the three rows add up to 138, which rows were the friends sitting in? A. 26,2728 B. 25,26, 27 C. 44,45, 46 D. 45,46, 47 E. 46,47,48 Question 17 Three numbers are missing. What is the number represented by the question mark? 4 8 1 11 . . ? A. 13 B. 14 C. 15 D. 16 E. 18 GO TO NEXT PAGE numerical reasoning - elwood (2).docx Page 9 of 22

Question 18 What are the missing characters in the series? 11 AZ 108 DW 102 GT 90 ? ? MN HS and 60 KP and 72 LN and 78 10 and 87 JQ and 66 moowp Question 19 A jar is a quarter full of jellybeans and it weighs 795 g. The empty jar weighed 725 g. What did the full jar of jellybeans weigh? 1-5 kg 1-005 kg 875¢g 950 g 1-25 kg moowx» Question 20 Find the value of the question mark. IE LF 34E X 't 22 10 ? 3 3t 18 15 28 20 12 mMPowe GO TO NEXT PAGE numerical reasoning - elwood (2).docx Page 10 of 22

Question 21 Peter, Monica, and Rob are trading sports cards. The value of the card depends on the type of sport. They have decided that three football cards are equal to two soccer cards and two soccer cards are equal to one netball card. Monica wants to trade two of her netball cards for football cards with Peter. How many football cards will Monica get for the trade? moow» oA ®WN Question 22 Find the missing number. A. 8 B. 7 C. 14 D. 1 E. 13 Question 23 676 330 346 163 167 171 175 81 | 82 83 84 85 86 87 What would be the number on the top row if the numbers in the bottom row started at 101 and ended at 1087 A. 99 B. 836 C. 987 D. 726 E. 886 Page 11 of 22 GO TO NEXT PAGE numerical reasoning - elwood (2).docx

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Question 24 The numbers in the grid go together in a certain way. Which number should be in the square marked by the question mark? 6 11 ? 9 5 8 7 12 A. 3 B. 4 C. 10 D. 13 E. 18 Question 25 Find the missing number in the series. 73 ? 109 130 163 A. 90 B. 88 C. 91 D. 81 E. 100 Question 26 Warwick’s flight is supposed to leave Melbourne, Australia, at 1 p.m. on Thursday, September 9th. e The flight from Melbourne to Los Angeles takes 14 hours. » Warwick’s stopover in Los Angeles is 2 hours. , The flight from Los Angeles to New York is 5 hours. e New York is 12 hours behind Melbourne. » Assume there are no delays. What day will Warwick get to New York City? Friday, September 10t Thursday, September 9th. Wednesday, September 8th. Saturday, September 11t Not enough information provided. moow» GO TO NEXT PAGE numerical reasoning - elwood (2).docx Page 12 of 22

Question 27 The numbers in the grids go together in a certain way. Find what the question mark is equal to. 7 6 60| 5 Question 28 4 |64 8 3| ? A. 35 B. 40 C. 53 D. 62 E. 42 Two cash registers of a store had a combined total of $300. When the manager transferred $15 from one register to the other register, each register then had the same amount. How much did the register with the larger amount have before the transfer was made? Using these three numbers, select one of the options below that goes with them. A. $165 B. $135 C. $150 D. $170 E. $145 Question 29 414 531 882 A. 524 B. 721 C. 639 D. 820 E. 916 GO TO NEXT PAGE numerical reasoning - elwood (2).docx Page 13 of 22

Question 30 All the cards below are placed into a container and one is drawn out at random. What is the probability that the card drawn contains a letter that is only included in the word MATHEMATICS? MATHEMAT]ICS S| |A||M| P||L||E A 2 17 B. L 17 c. 4 17 D. 2 17 E. None of the above. Question 31 Derek and Angelina clean fish tanks. Derek takes 30 minutes to clean one of the fish tanks and Angelina 20 minutes to clean one of the fish tanks. They work together for three hours, until Derek hurts his arm, and a friend, Jake, immediately takes his place. Jake takes 45 minutes to clean one of the fish tanks. How long will it take to clean 41 fish tanks? A. 13 hours B. 105 hours C. 20hours D. 9hours E. 6hours GO TO NEXT PAGE numerical reasoning - elwood (2).docx Page 14 of 22

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Question 32 The numbers inside the circles form a pattern. Find what the values of the # and * represent. moowp 96 and 44 24 and 36 91 and 44 33 and 98 34 and 76 Question 33 The missing numbers in this grid are: moow» 2 15 28 9 * 35 ? 29 42 ?=17and * =21 ?=16and * =22 ?=18and * =23 ?=19and *=25 ?=20and * =30 Page 15 of 22 GO TO NEXT PAGE numerical reasoning - elwood (2).docx

Question 34 In a game called cross-ball, a team can score either 3 points or 7 points. Team | Game1 Game 2 Game 3 P 6 13 18 Q 9 15 19 R 13 17 24 S 8 21 26 Which one of these have scores a team cannot make? A. PandQ B. P C. R D. QandR E. s Question 35 Dave earns $95 000 per annum and likes to do his own tax: on the first $29 999, there is no tax; $30 000 to $80 000, tax is 20%: tax over $80 000 is 60%. What is Dave’s net (after tax) income in dollars? A. $19000 B. $89000 C. $30000 D. $76000 E. $108 000 Question 36 In a class of 33 students, 20 have travelled to Asia, 12 have travelled to Europe and 6 have not travelled overseas. If a student is chosen at random from the class, what is the probability that they have travelled to either Asia or Europe, but not both? A = 3 B. 3 4 0. = 5 D. 2 6 E. Impossible to determine. GO TO NEXT PAGE numerical reasoning - elwood (2).docx Page 16 of 22

Question 37 Find the missing value. A. 10 B. 24 C. 36 D. 42 E. 64 Question 38 Find the missing value. 15 2 1& 19 8 13 7 v v 14 4 6 19 ? 8 A. 4 B. -3 C. 8 D. -4 E. -8 GO TO NEXT PAGE numerical reasoning - elwood (2).docx Page 17 of 22

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Question 39 How many palindromic numbers are there between 300 and 4007 moow>» S Question 40 A suburban block of land is 21 metres wide and 66 metres long. The narrower side faces the street. Three sides must be fenced. The front of the block will not have a fence. The fence posts are three metres apart. How many posts will be needed? 36 37 52 51 48 moow» Question 41 Ron, Sam and Tim have entered a runners’ handicap race. In such a race, the slowest runners start earlier, and the faster you are, the later you start. The aimis to beat your own “handicap” and win the race. The three friends have a wager, so that the one who finishes third buys the others an ice-cream. Ron has a “handicap” of 3 minutes and 10 seconds, and averages 6:5 minutes per kilometre. Sam has a 30 second ‘handicap”, and averages 6 minutes and 50 seconds per kilometre. Tim has a 4 minute 40 second “handicap”, and averages 6 minutes and 20 seconds per kilometre. If they maintain their usual running speeds, who is most likely to come third in the 8 kilometre race, and buy the ice-cream? Tim Sam Ron No-one, as they should all finish at the same time. Not enough information provided. moowp GO TO NEXT PAGE numerical reasoning - elwood (2).docx Page 18 of 22

Question 42 To make a profit, the retailer sold some sports Kits at % more than the price he paid for them. The retailer sold each of the sports kits for $440. How much profit does the retailer anticipate making on ten of the sports kits? moow> $ 1650 $2 225 $1 550 $550 $5 550 Question 43 Find the missing number that replaces the question mark. 18 90 108 11 77 66 A. 77 B. 175 C. 49 D. 42 E. 54 Question 44 Marcus bought two antique lamps for $50 each. Later he sold one for $60, but he changed his mind and bought it back for $70. Then he sold it again for $80. But since there was no one interested in the first lamp, he offered it for 10% less than its original cost, and finally managed to sell it. Did he make a profit or a loss? moow» Profit $30 Loss $20 Profit $15 Loss $25 Profit $10 GO TO NEXT PAGE numerical reasoning - elwood (2).docx Page 19 of 22

Question 45 The numbers 1 to 9 must appear in each row, column and 3 x 3 block. Following these rules, find the value of the question mark. 2 6 | 918 |7 |5|4|1]|3 1 7814 |6|3|2|5]|09 moow>» AN O O O Question 46 Three times one number plus four times a second number equals 9, while twice the first number added to four times the second number is equal to 12. Find the two numbers. A. C. -2 and -2l 2 2and 31 2 1 3and -4— 2 -3 and 4l 2 -4 and -1l 2 Page 20 of 22 GO TO NEXT PAGE numerical reasoning - elwood (2).docx

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Question 47 Belinda and Megan work in the same office building. Belinda works on the 26" floor and Megan works on the first floor. The lift was not working and they had to urgently handover important documents. They decide to take the stairs and meet. Belinda can travel down the stairs at three floors in 2 minutes. Megan can travel up the stairs at two floors in 2 minutes. At what floor will Belinda and Megan meet? A. 18" floor B. 15" floor C. 13" floor D. 9t floor E. 11t floor Question 48 What is the missing number in this series? 62 112 214 ? 834 340 148 126 420 687 moowp Question 49 A unique code gives each consonant of the alphabet a value according to its numerical position in the alphabet. a=1,b=2, ¢ = 3,d =4, y =25,z =26. However, each of the vowels (a, e, i, 0, u) is worth the value of its numerical position in the alphabet, then squared. e.g. e = 5?= 25 According to the above code, which one of the following words has the highest numerical value? A. zoo B. zero C. look D. zebra E. weep GO TO NEXT PAGE numerical reasoning - elwood (2).docx Page 21 of 22

Question 50 The numbers and letters in the grid have several patterns in the rows or columns or diagonals. Find the value of the question mark. O| 2 10|18 5 | P | 4 |13 36 ’ 2 5/15 R | 8 moow» 2 0o o End of examination paper. If you have any time left, check your answers. numerical reasoning - elwood (2).docx Page 22 of 22

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