Year selective Numerical Reasoning | Victorian Curriculum 2.0
Matrix reasoning (3x3 grids)
Topic 02 | Numerical reasoning | Answer key

Each answer shows the rule (row, column, or both) that fits the two complete rows, then the value.

Timed drill

    1. (b) 9. Each row counts up by 1: 7,8,97, 8, 97,8,9.
    2. (b) 13. Right === left +++ middle. 6+7=136 + 7 = 136+7=13.
    3. (c) 10. Right === left ×\times× middle. 2×5=102 \times 5 = 102×5=10.
    4. (c) 5. Right === left −-− middle. 9−4=59 - 4 = 59−4=5.
    5. (c) 16. Each row doubles. 4,8,164, 8, 164,8,16.
    6. (c) 11. Each column goes up by 111: column 3 reads 9,10,119, 10, 119,10,11.
    7. (b) 10. Each row has gap +2+2+2. 6,8,106, 8, 106,8,10.
    8. (b) 6. Row 3 has gap −6-6−6: 18,12,618, 12, 618,12,6.
    9. (c) 10. Right === left ×\times× middle. 5×2=105 \times 2 = 105×2=10.
    10. (c) 10. Right === left ×\times× middle. 5×2=105 \times 2 = 105×2=10.
    11. (c) 12. Right === left +++ middle. 8+4=128 + 4 = 128+4=12.
    12. (b) 4. Right === left −-− middle. 12−8=412 - 8 = 412−8=4.
    13. (b) 6. Each column increases by 111 going down: column 3 reads 4,5,64, 5, 64,5,6.
    14. (a) 2. Right === left ÷\div÷ middle. 30÷15=230 \div 15 = 230÷15=2.
    15. (b) 8. Right === left +++ middle. 3+5=83 + 5 = 83+5=8.
    16. (c) 13. Right === left +++ middle. 8+5=138 + 5 = 138+5=13.
    17. (b) 7. Middle =left= \sqrt{\text{left}}=left​, and right equals middle. 49=7\sqrt{49} = 749​=7.
    18. (c) 4. Right === middle −-− left. 10−6=410 - 6 = 410−6=4.
    19. (d) 48. Right === left ×\times× middle. 4×12=484 \times 12 = 484×12=48.
    20. (c) 11. Each column goes up by 111: column 3 reads 9,10,119, 10, 119,10,11.

Challenge

    1. (b) 13. Right === left2^22 +++ middle2^22. 32+22=9+4=133^2 + 2^2 = 9 + 4 = 1332+22=9+4=13.
    2. (c) 61. Right === left2^22 +++ middle2^22. 52+62=25+36=615^2 + 6^2 = 25 + 36 = 6152+62=25+36=61.
    3. (c) 8. Right === left −-− middle. 14−6=814 - 6 = 814−6=8.
    4. (c) 36. Right === middle2^22. 62=366^2 = 3662=36.
    5. (b) 6. Right === left ÷\div÷ middle. 30÷5=630 \div 5 = 630÷5=6.
    6. (c) 27. Column nnn === (row number)n^nn. Row 3, column 3 =33=27= 3^3 = 27=33=27.
    7. (c) 16. Right === left +++ middle. 6+10=166 + 10 = 166+10=16.
    8. (b) 12. Right =2×= 2 \times=2× left +++ middle. 2×5+2=122 \times 5 + 2 = 122×5+2=12.
Year selective Numerical Reasoning study companion | Answer key