Keep a blank sheet of paper and a pencil for rough work to answer the questions.
This test consists of 35 questions with a 40-minute time limit to complete.
You can see time remaining counter on top of the question.
You can mark a question to review and come back at a later stage.
Do not leave any question unanswered, make an intelligent guess.
NOTE – CALCULATORS ARE NOT ALLOWED
SHTT(HP) – Mathematical Reasoning Trial Test 13
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Question 1 of 35
1. Question
In magic square each row, column and each diagonal add up to the same total.
In the magic square below, some of the numbers are missing.
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Question 2 of 35
2. Question
What number is missing from the given equation?
\( \dfrac{1}{12}+\dfrac{1}{3}=\dfrac{1}{6}+? \)
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Question 3 of 35
3. Question
Which one of the following statements is not correct?
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Question 4 of 35
4. Question
Emma bought an equal number of cheese pizzas and chicken pizzas for a party.
\( \dfrac{3}{5} \) of cheese pizzas and \( \dfrac{5}{7} \)of chicken pizzas were eaten at the party.
What fraction of the total number of pizzas was left?
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Question 5 of 35
5. Question
In the given diagram AOD is a straight line.
∠AOC = 125°
∠BOD = 1420°
Find the value of angle BOC.
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Question 6 of 35
6. Question
455.01 + 303 is the same as ____
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Question 7 of 35
7. Question
Smartprint makes business cards with names of the company along with names and contact details of staff so that they can give to clients.
The total cost of buying the cards they sell is made up of two amounts. There is a fixed cost that the company must pay no matter how many cards they order and this amount is always the same.
Then there is a second amount which depends on the number of cards ordered.
These two amounts are added together to give the total cost of the order and the graph below shows what the total cost would be for the number of cards ordered.
A company ordered 475 cards. How much will it cost?
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Question 8 of 35
8. Question
In a triangle, the largest angle is double the middle angle and the middle angle is thrice the smallest angle.
What is the size of the largest angle?
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Question 9 of 35
9. Question
Hailey has 8 yellow marbles, 3 blue marbles and 9 red marbles which she places in a bag.
When she draws one disc out, what is the probability that the disc is NOT red?
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Question 10 of 35
10. Question
In a school basketball league each team plays each of the other teams twice during the year, once at home and once away.
If there are 20 matches in total during the season, how many teams are there in the basketball league?
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Question 11 of 35
11. Question
How many lines of symmetry did the following figure have?
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Question 12 of 35
12. Question
The volume of water expands by 11% when it freezes. If you want a block of ice 45 cm³, how much water would you need to put into a freezer?
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Question 13 of 35
13. Question
Here is a number line.
Which inequality is shown on the number line.
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Question 14 of 35
14. Question
Cooper bought 30 drinks to sell at the school fair.
The pack costs $18.
He wants to make a 40% profit.
How much should he sell each drink for?
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Question 15 of 35
15. Question
Nick thinks of a number between 0 and 100.
When the number is divided by 2 the remainder is 1.
When the number is divided by 3 the remainder is 1.
When the number is divided by 5 the remainder is 0.
When the number is divided by 7 the remainder is 1.
What is the number?
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Question 16 of 35
16. Question
In a race, the 4 fastest people were Daniel, Charles, Alex and Shane.
Daniel was faster than Alex
Charles was faster than Shane
Alex finished 2 places after Charles
Shane was not in 3rd place.
Who is in the first position?
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Question 17 of 35
17. Question
In a class ⅛ of the boys and ¼ of the girls take swimming lessons. 3 times as many girls as boys take swimming lessons.
If there are 100 boys and girls in the class, how many boys take swimming lessons?
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Question 18 of 35
18. Question
Tamara is observing a growing matchstick pattern.
She has written the observations in the following table:
Pattern Number (P) 0 1 2 3 4 Number of Matchsticks(M) 15 18 21 24 27 Which of the following expression represent the relationship between pattern number and number of matchsticks?
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Question 19 of 35
19. Question
A bag contains 16 red marbles, 7 yellow marbles and 19 green marbles.
How many additional red marbles must be added to 42 marbles so that the probability of randomly drawing red marble is 3 out of 5.
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Question 20 of 35
20. Question
A school art club is making banners with school colours red and white for fundraising.
Each banner required ¼ m of red colour fabric and ⅜ m of white colour fabric.
Club has decided to make 500 banners. They decided to buy fabric exactly for 500 banners but found that fabric is cheaper if purchased in full bolts.
Red fabric comes in 10 meter per bolt and white fabric comes in 12 meter per bolt.
How many extra banners was the art club able to make if they purchased enough full boults to make at least 500 banners?
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Question 21 of 35
21. Question
Stella’s maths teacher assigned letter grades based on the percentage of total possible marks on 4 term exams (each out of 100 marks) and the final exam(worth 200 marks).
Below is the table showing how grades are calculated.
Marks Range Grade At least 90% A 80% – 89% B 70% – 79% C 60% – 69% D Less than 60% F Stella scored 82, 88, 91 and 83 in the term exams. When grades were posted, Stella grade was listed as a B.
Which of the following could not be the marks she scored on the final exam?
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Question 22 of 35
22. Question
A parallelogram has a perimeter of 96 cm. One of its sides measures 16 cm.
What are the lengths, in centimetres, of the other 3 sides?
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Question 23 of 35
23. Question
Jason is twice as good as Glenn in bricklaying.
Glenn can complete a bricklaying job in 30 days.
How long will it take Jason and Glenn, working together, to complete the bricklaying job?
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Question 24 of 35
24. Question
Ms Anna has a new operation ♦, defined on ordered pairs of an integer as follows:
(a,b) ♦ (c,d) = (ac + bd)/(ab – cd)
What is the value of (2,3) ♦ (4,6)?
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Question 25 of 35
25. Question
Tom is running a dress shop. He has five dress styles to sell.
He wants to display one dress of each style along a rod in the window of his shop.
How many possible orders of these dresses are there for Tom to consider?
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Question 26 of 35
26. Question
Molly and Sarah are saving for their school formal.
Molly has saved 20% more than Sarah.
If Molly’s savings are $144, how much money did Sarah save?
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Question 27 of 35
27. Question
In Preston High School, some teachers teach only one subject and some teachers teach more than one subject. Using the given information, find how many teachers teach maths only?
Number of Teachers Subject(s) taught 12 At least 1 class of maths 10 At least 1 class of english 20 At least one class of science 6 Both english and science but not maths 5 Both maths and science but not english 2 English only 1 All three subjects -
Question 28 of 35
28. Question
Isabella has to finish a book in 8 days.
She reads \( \dfrac{1}{12} \)of the book each of the first 4 days.
For the remaining 4 days, What fraction of a book, on average, must Isabella read per day?
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Question 29 of 35
29. Question
The volume of a cube is 216 cubic cm.
What will be the total surface area of the cube?
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Question 30 of 35
30. Question
A 120-liter solution that contains 5% of sugar mixed with an 80-liter of solution that contains 15% of sugar.
What percentage of sugar did the combined mixture contain?
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Question 31 of 35
31. Question
Six friends, Anna, Tara, Janet, Isabella, Ema and Leo are sitting in a row.
Ema and Leo are sitting at centre.
Anna and Tara are sitting at ends.
Janet is sitting immediately left to Anna.
Who is sitting immediately right to Tara?
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Question 32 of 35
32. Question
The two spinners are shown below. The arrow on each spinner is equally likely to point at any of the numbered sectors.
Vivian has spun both spinners, and added the scores on two faces.
Which of the following values is NOT a possible sum of those 2 scores?
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Question 33 of 35
33. Question
Mr. Green has invested $200 into a special bank account. He is not making any withdrawal or deposits.
The balance doubled every 5 years in a special savings account.
What will be the balance of Mr. Green’s special savings account at the end of 40 years?
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Question 34 of 35
34. Question
Squares with sides of length x cm have been removed from each corner of a rectangle measuring 22 cm by 12 cm, as shown in figure below:
Which of the following expressions represent the area of the given figure?
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Question 35 of 35
35. Question
Mrs Wilson has a huge piece of ribbon. She first cut it into two piece In the ratio 1:3. The longer piece was then cut into two pieces in the ratio 3:2.
The shorter piece was 12cm shorter than the longer piece.
What was the length of the ribbon before cutting?