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)
  • 83
  • 43
  • 119
  • 33

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

  • 50
  • 12
  • 10
  • 18 (correct)
  • 30

    • 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?

    <p>35</p> Signup and view all the answers

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

    <p>Dictionaries</p> Signup and view all the answers

    When must candidates complete their answer sheets?

    <p>At the end of the time limit</p> Signup and view all the answers

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

    <p>Multiplication</p> Signup and view all the answers

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

    <p>Submit what they have completed</p> 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?

    <p>120</p> Signup and view all the answers

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

    <p>B50</p> Signup and view all the answers

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

    <p>0.73</p> Signup and view all the answers

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

    <p>350 m</p> Signup and view all the answers

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

    <p>72</p> 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?

    <p>9</p> 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?

    <p>120</p> 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?

    <p>200 m</p> Signup and view all the answers

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

    <p>15</p> Signup and view all the answers

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

    <p>180 g</p> Signup and view all the answers

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

    <p>27</p> 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?

    <p>16 cm2</p> Signup and view all the answers

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

    <p>4 hours 20 minutes</p> Signup and view all the answers

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

    <p>100 g</p> Signup and view all the answers

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

    <p>10:20</p> Signup and view all the answers

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

    <p>120 g</p> 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?

    <p>5 L 37 mL</p> Signup and view all the answers

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

    <p>0.65</p> 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?

    <p>4/36</p> Signup and view all the answers

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

    <p>SW, then E, then NE</p> Signup and view all the answers

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

    <p>Statements X and Z only</p> 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?

    <p>12</p> Signup and view all the answers

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

    <p>Net 3</p> 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?

    <p>Both in litres and millilitres</p> Signup and view all the answers

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

    <p>135°</p> 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?

    <p>28</p> 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?

    <p>Diagram C</p> Signup and view all the answers

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

    <p>4</p> 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?

    <p>30°</p> 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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