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NUMERICAL REASONING
PRACTICE TEST
PRACTICE QUESTIONS
The front page of this booklet provides practice examples to show you what the questions on the real test are like.
Practice Example 1 Find the missing number in the following series:
2 4 6 8?
A : 9 B : 10 C : 11 D : 12 E : None of these
Practice Example 2 The numbers in the grid go together in a certain way. Which number should be in the square marked by the question mark?
A : 2 B : 3 C : 5 D : 16 E : None of these
Practice Example 3
Sam has four tickets in his hand. He gives one to each of his friends Max and Judy.
How many tickets is Sam left holding?
A : 4 B : 3 C : 1 D : 0 E : None of these
When you are told to begin you will have 30 minutes to do as many questions as you can. If you don’t know the answer to a question, make a guess or come back to it later. You don’t lose marks if you get something wrong. It may be difficult to finish all the questions in the time allowed, so don’t spend too long on any one question. Try to answer as many questions as you can. If you change your mind about an answer, please erase your original answer using an eraser and colour your new answer in on the answer sheet.
Find the missing number in the following series: 234567 23456? 234 23 A : 6 B : 2356 C : 2347 D : 2345 E : None of these
Question 2 The numbers in the grid go together in a certain way. Which number should be in the square marked by the question mark?
A : 21 B : 22 C : 24 D : 26 E : None of these
Question 3 One container has 28 kilograms of flour and another has 4 kilograms. How many kilograms must be taken from one container, so each has an equal amount of flour? A : 4 B : 12 C : 16 D : 24 E : None of these
Question 4 The numbers and letters in the grid form a pattern and one of the lines has been erased. Which number or letter should be in the square marked by the question mark? 2 A 4 A 6 A
C B 4 B 6 B
4 4 4 C 6 C
?
6 6 6 6 6 E
K J I H G F
A : D B : F C : 5 D : E E : None of these
Question 5 Six pairs of shoes cost as much as 1 coat, 2 pairs of jeans cost as much as 3 pairs of shoes, and 4 pairs of socks cost as much as one pair of jeans. How many coats could I exchange for 64 pairs of socks?
A : 4 B : 1 C : 2 D : 3 E : None of these
Question 6 The numbers in the circles go together in a certain way. Find the missing number marked by the question mark:
A : 12 B : 13 C : 11 D : 15 E : None of these
If Bert had 3 cents more he would have twice as much as Georgia. If he had 4 cents less, he would have the same amount. How many cents does Bert have? A : 4 B : 7 C : 11 D : 14 E : None of these
The following story relates to the next two questions. Arthur, Ronald and Dianne each have a pile of socks. Mr Sockman’s sock collection is worth half the value of Ronald’s sock collection plus one white sock, one grey sock and one black sock.
3 X black socks 8 X black socks 4 X black socks 2 X white socks 1 X white socks 1 X white socks 1 X grey sock 3 X grey socks Arthur’s Socks Ronald’s Socks Dianne’s Socks
Black socks fetch one quarter of the price of white ones at auction, whilst greys fetch half.
Question 15 Who has the least variety of socks in their collection? A : Ronald B : Arthur C : Dianne D : Mr Sockman E : None of these
Question 16 Who would get the most money for their sock collection at auction? A : Ronald B : Arthur C : Dianne D : Mr Sockman E : None of these
Question 17 The numbers in the circles go together in a certain way. Find the missing number marked by the question mark:
A : 70 B : 80 C : 60 D : 40 E : None of these
Question 18
The numbers in the grid go together in a certain way. One of the squares has a * placed
in it, to hide the number underneath. Which number should be in the square marked by the question mark?
32 26 22
27? 17
22 16 *
A : 21 B : 14 C : 20 D : 10 E : None of these
Question 19 There are 72 apples on my tree at home; 38 are red, and the rest are green. I know 46 of the apples have worms in them, so I can’t use them for cooking.
What is the maximum number of green apples I could have left to cook with?
A : 0 B : 8 C : 12 D : 26 E : None of these
Question 20 Rebecca must give 5 out of every 6 dollars she earns each week to the tax department. If Rebecca gets to keep $10 this week, how much did she earn in total this week? A : $30 B : $56 C : $50 D : $60 E : None of these
Question 21 Find the missing number in the following series: 64 16 32 8? A : 2 B : 8 C : 16 D : 32 E : None of these
Question 22 If a piece of blueberry pie costs $4 and a piece of apple pie costs 50% more than a piece of blueberry pie, how much does a piece of apple pie cost? A : $3 B : $2 C : $5 D : $6 E : None of these
Question 23 Find the missing number in the following series: 4? 17 51 56 168
A : 8 B : 10 C : 12 D : 14 E : None of these
Question 24 Oliver has a box of toy cars, but he is not sure how many he has. If he arranges the cars in groups of four, he has three left over. If he arranges them in groups of 3, he has two left over and there are three left over when he puts them in groups of five. Oliver definitely doesn’t have any more than 30 cars, so how many does he have? A : 27 B : 28 C : 21 D : 22 E : None of these.
Question 25 From home, Mary’s work is two thirds along the way to training. Training is 2.5km from work. Mary normally goes to work, then training and then home again. However, today she forgot her shoes. How far will Mary travel in total today if she has to go home before training to get her shoes?
A : 28km B : 15km C : 20km D : 25km E : None of these
Question 26 A sequence of numbers is changing by the same amount each time. The third, fourth and fifth numbers are 6 , 2 , and -2. What is the sum of the first eight items in the sequence? A : -64 B : 0 C : 70 D : 14 E : None of these
Question 27 Find the missing number in the following series: ? 14 98 686 4802 A : 3 B : 4 C : 7 D : 9 E : None of these
Question 28 The numbers in each box go together in a certain way. Find the missing number marked by the question mark:
5, 10, 25 9, 18, 81 4, 8, 16 8, 16,?
A : 24 B : 32 C : 64 D : 128 E : None of these
What is the difference between the profit of Ms Able and Ms Smith?
A : $2.75 B : $0.75 C : $0.50 D : $7.50 E : None of these Question 36 The fast food company paid the hamburger bun company $120 per 100 hamburger buns. The fast food company charged their customers the same for 3 hamburger buns as they paid for 5. What was the profit the fast food company made per hundred hamburger buns?
A : $120 B : $80 C : $8 D : $240 E : None of these
Question 37 The numbers in each box go together in a certain way. Find the missing number marked by the question mark: 35, 5, 40 55, 40, 95 60, 13, 73 70, 16,?
A : 66 B : 54 C : 86 D : 96 E : None of these
Question 38 Find the missing number in the following series: 89 75 63 53 45?
A : 43 B : 39 C : 37 D : 35 E : None of these
Question 39 A motorbike race was scheduled to start at 4.10pm; however, it started 10 minutes behind schedule. If the motorbike that came first finished one hour and fifteen minutes after the race began, and the motorbike that came in second place finished 15 minutes after this, at what time did the motorbike that came second cross the finish line? A : 5.30am B : 5.40pm C : 5.50pm D : 4.30pm E : None of these.
Question 40 Find the missing number in the following series: 6 120 12 108 24? 48 84
A: 108 B: 60 C: 74 D: 96 E: None of these
Question 41 The Olympic record time for running the endurance event was 4 hours and 40 minutes. Amanda recently broke that record, running a time of 3 hours and 20 minutes. What fraction of the original record time was Amanda’s time?
A : 5/9 B : 6/7 C : 5/7 D : 6/9 E : None of these
Question 42 Grandma’s Anzac cookie mixture has eight parts flour and six parts sugar. If Grandma needs to make 28 kilograms of the Anzac cookie mixture for a party, how many kilograms of flour will she need? A : 16 B : 10 C :12 D : 7 E : None of these
Question 43 A farmer bought chickens and ducks to restock his farm. He also purchased milking cows for his wife’s milk-making enterprise. The total cost was $11,425. He remembered that the 50 chickens cost $65 each and the cows cost $45 each. He counted 10 ducks in the paddock, but he could not remember what they cost. His wife reminded him that the total number of animals he bought was 75. Work out for the farmer the price for each duck. A : $700 B : $750 C : $540 D : $120 E : None of these.
In a jar of lollies there are 6 more orange lollies than green ones and there is only one red lolly. If there are 47 lollies in the jar, how many orange ones are there? A : 20 B : 40 C : 46 D : 25 E : None of these The following information relates to the next three questions. Larger boxes hold 4 smaller boxes each. Different ships carry a different number of larger boxes. The number of larger boxes carried by different types of ships is indicated below:
Ship Type No. of Larger Boxes
Ship Rental
Tanker 2 $ Submarine 15 $ Yacht 20 $ Tug Boat^10 $ Sail Boat 1 $ Navy Ship 5 $ Question 45 Which ship can transport 12 smaller boxes with the least amount of room left over? A : Tanker B : Submarine C : Yacht D : Tug Boat E : Navy Ship
Question 46 There are two of each ship. What is the smallest number of each type of ship needed to carry 72 smaller boxes, with no spaces left over? A : 3 B : 2 C : 4 D : 5 E : None of these
Question 47 There are two of each type of ship. Left over spaces are allowed. What is the cost for the cheapest boat or combination of boats that will take 28 smaller boxes? A : $95 B : $100 C : $175 D : $200 E : None of these
Question 48 Find the missing number in the following series: 5184 1728 576 192?
A : 64 B : 44 C : 32 D : 120 E : None of these
Question 49 Find the missing numbers in the following series:
C 81 E 64? 49 I? K
A: G,36 B: F,36 C: G,32 D: H,24 E: None of these
Question 50 How many gold coins are there in a jar of 88 coins, if there are 1/3 as many silver coins as gold coins? A : 44 B : 66 C : 33 D : 22 E : None of these
WELL DONE. THIS IS THE END OF THE TEST.
IF YOU STILL HAVE TIME LEFT, PLEASE CHECK OVER YOUR
ANSWERS.
