Mathematical Reasoning Quiz

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.