Simple Equations

11 Grade 5 Mathematics questions on Simple Equations, with worked marking schemes. 11 questions are available on this topic in full.

1. Question 1

   1 mark

   Solve: 5k + 2 = 22

   A. k = 20

   B. k = 3

   C. k = 4

   D. k = 5

   (1 mark)

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2. Question 2

   1 mark

   Solve: y − 9 = 14

   A. y = 14

   B. y = 5

   C. y = 23

   D. y = 9

   (1 mark)

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3. Question 3

   1 mark

   Solve the equation $x+7=15$.

   A. $x=15$

   B. $x=22$

   C. $x=7$

   D. $x=8$

   (1 mark)

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4. Question 4

   1 mark

   Solve: x + 7 = 15

   A. x = 22

   B. x = 7

   C. x = 8

   D. x = 15

   (1 mark)

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5. Question 5

   1 mark

   Solve: m/5 = 8

   A. m = 8

   B. m = 40

   C. m = 13

   D. m = 3

   (1 mark)

   Marking scheme

   B. $m=40$ — the $m$ is divided by $5$, so undo it by multiplying both sides by $5$: $m=8\times 5=40$. C adds $5$ instead.

6. Question 6

   1 mark

   If 2x + 3 = 11, what is x?

   A. x = 5

   B. x = 6

   C. x = 7

   D. x = 4

   (1 mark)

   Marking scheme

   D. $x=4$ — undo the operations in reverse: subtract $3$ to get $2x=8$, then divide by $2$. C stops after subtracting.

7. Question 7

   1 mark

   Twice a number is 54. What is the number?

   A. 28

   B. 108

   C. 27

   D. 52

   (1 mark)

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8. Question 8

   1 mark

   Five less than three times a number is 19. Find the number.

   A. 8

   B. 9

   C. 6

   D. 7

   (1 mark)

   Marking scheme

   A. $8$ — 'five less than three times a number' is $3x-5$, so $3x-5=19$. Then $3x=24$ and $x=8$. Writing the expression the right way round is the whole difficulty here.

9. Question 9

   1 mark

   Solve: 4n = 36

   A. n = 40

   B. n = 4

   C. n = 32

   D. n = 9

   (1 mark)

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10. Question 10

    1 mark

    Solve: 3y − 5 = 16

    A. y = 7

    B. y = 11

    C. y = 4

    D. y = 6

    (1 mark)

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11. Question 11

    1 mark

    A number increased by 12 gives 30. Find the number.

    A. 18

    B. 12

    C. 30

    D. 42

    (1 mark)

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