Mathematical Reasoning Quiz

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Questions and Answers

Which number from the set has a different remainder when divided by 5?

68 (correct)

119

What comes next in the number pattern: 2, 6, ▲, 54, 162, …?

18 (correct)

What must candidates do if they make a mistake on the answer sheet?

Leave it as is and continue

Record it on a separate paper

Erase thoroughly and try again (correct)

Ask the invigilator for a new sheet

Cross it out

How many questions are there in total on the Mathematical Reasoning Question Paper?

35 Signup and view all the answers

Which of the following items is NOT allowed during the examination?

Dictionaries Signup and view all the answers

When must candidates complete their answer sheets?

At the end of the time limit Signup and view all the answers

Which mathematical operation is suggested for determining the missing number in a sequence?

Multiplication Signup and view all the answers

What should candidates do if they run out of time during the examination?

Submit what they have completed Signup and view all the answers

How many tickets were sold on Monday if the movie theatre sold a total of 500 tickets over four days with the pattern specified?

120 Signup and view all the answers

What is the grid reference of box 40 in the described pattern of boxes?

B50 Signup and view all the answers

Which of the following numbers is closest to $10^{-1}$?

0.73 Signup and view all the answers

How far does Jood live from Kerry if the distances between the friends are given?

350 m Signup and view all the answers

After how many minutes will Rachel, Steve, and Taran be on the start line together again?

72 Signup and view all the answers

What is the largest whole number Mateo can think of if multiplying it by 3 results in a value less than 30?

9 Signup and view all the answers

How many total tickets were sold on Tuesday if Monday's sales are derived from the total of 500 tickets?

120 Signup and view all the answers

If Gina lives three times as far from Felipe as she lives from Heng, how far is she from Heng if Felipe lives 400 m from Heng?

200 m Signup and view all the answers

What is the sum of all the numbers Mateo could be thinking of?

15 Signup and view all the answers

What is the mass of the can and sweetcorn together when the can is three-quarters full?

180 g Signup and view all the answers

How many of the 64 small cubes can Tiffany not see when looking at her cube?

27 Signup and view all the answers

What is the area of the shaded square in the design made up of rectangles and a shaded square?

16 cm2 Signup and view all the answers

How long does Sun-mi spend away from Newtown after catching the second bus of the day?

4 hours 20 minutes Signup and view all the answers

What does the empty container weigh after some syrup is poured out?

100 g Signup and view all the answers

Which of the following times corresponds to the departure from Oldville when Sun-mi returns to Newtown?

10:20 Signup and view all the answers

When the can of sweetcorn is half full, what is the combined mass?

120 g Signup and view all the answers

What will be the total volume of water if the contents of containers X, Y, and Z are combined?

5 L 37 mL Signup and view all the answers

In an ordered arrangement of the number cards, which card is positioned in the middle?

0.65 Signup and view all the answers

If Amrita has a bag with 36 marbles and 16 are blue, what is the probability of randomly picking a red marble if there are 4 red marbles?

4/36 Signup and view all the answers

What direction does Bryony follow when walking from J to K to L to M around the parallelogram?

SW, then E, then NE Signup and view all the answers

Which of the following statements is true regarding the inequalities provided?

Statements X and Z only Signup and view all the answers

Which of the following choices contains the correct total number of yellow marbles if there are 36 marbles in total and 16 are blue?

12 Signup and view all the answers

In a net configuration, which option represents a valid net that can form a triangular prism?

Net 3 Signup and view all the answers

To determine the total volume of water when combining 1 litre 75 millilitres, 3 litres 45 millilitres, and 1250 millilitres, what units will the final result be expressed in?

Both in litres and millilitres Signup and view all the answers

What is the angle, measured clockwise, from the hour hand to the minute hand at 1:30 pm?

135° Signup and view all the answers

What is the sum of a second pair of numbers that has the highest common factor of 4 and a lowest common multiple of 40?

28 Signup and view all the answers

Which diagram correctly represents a square piece of paper folded and then cut into a triangle before being unfolded?

Diagram C Signup and view all the answers

What is the value of the greatest common divisor shared by the numbers 4 and 40?

4 Signup and view all the answers

If a clock shows 1:00 pm, what angle forms between the hour hand and the 12 o'clock position?

30° Signup and view all the answers

Study Notes

Mathematical Reasoning Questions

The Mathematical Reasoning Question Paper was administered on 11 March 2021
Candidates were instructed not to open the question paper until told to do so
A separate answer sheet was provided for the test
Candidates were required to fill in their student application number, given name (s), and family name on both the answer sheet and the question paper
The test contained 35 questions
Each question had five possible answers, labelled A through E
Candidates were instructed to choose the correct answer and record their choice on the separate answer sheet
Erasing thoroughly was suggested for mistakes
No marks were deducted for incorrect answers, encouraging candidates to attempt all questions
The answer sheet needed to be completed within the 40-minute time limit
No extra time would be provided
The question paper could be used for working out, but no additional paper was allowed
Calculators and dictionaries were not permitted

Question 1

The question asks to identify a number that does not share the same remainder as other provided numbers when divided by 5.
The provided numbers are: 33, 43, 68, 83, and 119.

Question 2

The question asks to find the missing number (represented by ▲) in a number pattern.
The pattern is: 2, 6, ▲, 54, 162, ...

Question 3

The question involves calculating the combined volume of water from three containers, X, Y, and Z.
Container X contains 1 litre 75 millilitres of water
Container Y contains 3 litres 45 millilitres of water
Container Z contains 1250 millilitres of water.

Question 4

The question asks to identify the obtuse angle between the two straight sides of a blue shape.

Question 5

The question involves arranging a set of decimal numbers in ascending order.
The provided numbers are: 0.5, 0.6, 0.7, 0.65, 0.75, 0.56, 0.76, 0.57, and 0.67.

Question 6

The question involves a bag containing 36 marbles (blue, red, and yellow)
There are 16 blue marbles.
The probability of drawing a red marble is 1/2

Question 7

The question involves a parallelogram with corners labelled J, K, L, and M.
Bryony walks from J to K to L to M.
The question asks for the order of compass directions Bryony takes.

Question 8

The question involves comparing the results of three mathematical expressions.
Expression X: (3/4) + (3/4) is compared to 1
Expression Y: 1 - (3/8) - (3/8) is compared to 1
Expression Z: (1/6) is compared to (1/10)

Question 9

The question involves identifying nets that can be folded to form a triangular prism.
Five different nets are provided.

Question 10

The question involves a movie theater that sold 500 tickets in a week.
The tickets were sold on Monday, Tuesday, Wednesday, and Thursday.
Tuesday's sales were half of Monday's.
Wednesday's sales were half of Tuesday's.
Thursday's sales were 80 tickets.

Question 11

The question involves a pattern of boxes drawn on a grid.
Box 1 is at grid reference B2, box 2 is at C3, and so on.
The question asks for the grid reference of box 40.

Question 12

The question asks to find the number closest to 7/10.
The provided options are: 0.072, 0.705, 0.68, 0.069, and 0.73.

Question 13

The question involves five friends living on a straight road.
The friends are: Felipe, Gina, Heng, Jood, and Kerry.
Felipe lives 400 m from Heng and 850 m from Kerry.
Gina lives three times as far from Felipe as she lives from Heng.
Gina and Jood live equal distances from Heng.

Question 14

The question involves three athletes (Rachel, Steve, and Taran) running laps on a track.
They start at the same time.
Rachel runs a lap every 8 minutes.
Steve runs a lap every 10 minutes.
Taran runs a lap every 12 minutes.
The question asks how many minutes it will take for all three athletes to be on the start line simultaneously again.

Question 15

The question involves a whole number Mateo is thinking of.
Multiplying the number by 3 results in a number less than 30.
Multiplying the number by 6 results in a number greater than 40.
The question asks for the sum of all possible numbers Mateo could be thinking of.

Question 16

The question involves a can of sweetcorn.
When half full, the can and its contents weigh 120 grams.
When one-quarter full, the can and its contents weigh 65 grams.
The question asks for the combined weight of the can and sweetcorn when the can is three-quarters full.

Question 17

The question involves a large cube made of 64 smaller identical cubes.
The question asks how many of the smaller cubes are not visible when observing the large cube from any direction.

Question 18

The question involves a design comprised of white rectangles and a shaded square.
Each rectangle has a width of 4 cm and an area of 36 cm2.
The question asks for the area of the shaded square.

Question 19

The question involves a bus timetable between Oldville and Newtown.
Sun-mi takes the second bus from Newtown to Oldville and then returns on the next bus.
The question asks how long Sun-mi is away from Newtown.

Question 20

The question involves a container of syrup weighed on a scale.
The syrup is poured out, and the container is weighed again.
The question asks for the weight of the empty container.

Question 21

The question involves the angle between the minute and hour hand at 1:00 pm, which is 30 degrees.
The question asks for the angle between the minute and hour hand at 1:30 pm.

Question 22

The question involves two pairs of numbers.
The first pair is 4 and 40, with a highest common factor of 4 and a lowest common multiple of 40.
The question asks for the sum of the second pair of numbers that also have a highest common factor of 4 and a lowest common multiple of 40.

Question 23

The question involves folding a square piece of paper.
The paper is first folded so that the edges meet in the middle and then folded in half again.
A triangle is then cut out of the folded paper.
The question asks to identify the shape of the paper when unfolded.

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Description

Test your understanding of mathematical reasoning with this quiz that mirrors a standardized exam format. Featuring 35 multiple-choice questions, you will have 40 minutes to choose the correct answers and complete your answer sheet. This quiz is designed to help you practice under exam conditions without the use of calculators or additional resources.