Multiple Choice

1. What is the value of $15 - 3 \times 4$?

   3

   0

   12

   48

2. Calculate the value of $(7 + 3) \times 5 - 2$.

   33

   52

   47

   48

3. Evaluate $24 \div (2 \times 3) + 5$.

   17

   13

   9

   7

4. What is $6^2 - 8 \div 2$?

   14

   30

   28

   32

5. Find the value of $\sqrt{49} + 3^3$.

   34

   24

   16

   20

6. Simplify $2 \times 5 + (12 - 4) \div 2$.

   14

   24

   10

   18

7. Which operation should be performed first in $10 + (6 \times 3) - 8 \div 2$?

   $6 \times 3 - 8$

   $10 + 6$

   $8 \div 2$

   $6 \times 3$

8. What is the result of $50 - [4 \times (2 + 3)]$?

   30

   50

   25

   10

9. Simplify the expression $5a + 3b - 2a + b$.

   $7a + 4b$

   $3a + 4b$

   $3a + 2b$

   $3a - 4b$

10. Expand $3(x - 5)$.

    $3x - 15$

    $x - 15$

    $3x + 15$

    $3x - 5$

11. Factorise the expression $8y + 12$.

    $4(2y + 3y)$

    $8(y + 4)$

    $4(2y + 12)$

    $4(2y + 3)$

12. Solve the equation $x + 12 = 20$.

    $x = 8$

    $x = 32$

    $x = 10$

    $x = 1.6$

13. Solve the equation $4p - 7 = 13$.

    $p = 1.5$

    $p = 10$

    $p = 5$

    $p = 2.5$

14. If $m = 6$, what is the value of $2m^2$?

    24

    12

    36

    72

15. Form an expression for ``four less than three times a number, $n$''.

    $4 - 3n$

    $3n + 4$

    $3n - 4$

    $3(n - 4)$

16. Expand and simplify $2(y + 4) + 5(y - 1)$.

    $7y + 3$

    $7y - 3$

    $7y + 13$

    $7y + 7$

17. Solve $5x - 8 = 2x + 10$.

    $x = 6$

    $x = 18$

    $x = 2$

    $x = 4$

18. Solve $\frac{z}{3} + 5 = 9$.

    $z = 4$

    $z = 12$

    $z = 27$

    $z = 3$

19. Factorise $10ab - 15b^2$.

    $5b(2a - 3)$

    $b(10a - 15b)$

    $5(2ab - 3b^2)$

    $5b(2a - 3b)$

20. If $a = 5$ and $b = 2$, find the value of $a^2 - 3b$.

    7

    19

    34

    22

21. Solve $7 - 3x = 1$.

    $x = 8/3$

    $x = -2$

    $x = 6$

    $x = 2$

22. Simplify $m \times m \times m \times n \times n$.

    $3m + 2n$

    $m^3 n^2$

    $m^2 n^3$

    $(mn)^5$

23. Solve $4(k - 2) = 28$.

    $k = 11$

    $k = 7$

    $k = 9$

    $k = 5$

24. A rectangle has length $L$ and width $W$. What is its perimeter?

    $2(L + W)$

    $L + W$

    $2(LW)$

    $L \times W$

25. Simplify the ratio $20:35$.

    $4:7$

    $1:5$

    $2:3.5$

    $4:5$

26. Divide $£48$ in the ratio $3:5$.

    $£24$ and $£24$

    $£12$ and $£36$

    $£16$ and $£32$

    $£18$ and $£30$

27. The ratio of red to blue marbles is $2:7$. If there are $14$ red marbles, how many blue marbles are there?

    14

    21

    35

    49

28. In a school, the ratio of teachers to students is $1:15$. If there are $30$ teachers, what is the total number of people (teachers + students)?

    300

    450

    480

    465

29. Three friends share sweets in the ratio $2:3:5$. If the total number of sweets is $60$, how many sweets does the friend with the largest share get?

    18

    12

    24

    30

30. A mixture contains sand and cement in the ratio $4:1$. If there is $28kg$ of sand, how much cement is needed?

    $14kg$

    $4kg$

    $1kg$

    $7kg$

31. Simplify the ratio $0.5:2$.

    $2:8$

    $1:2$

    $1:4$

    $5:20$

32. A recipe requires flour and butter in the ratio $5:3$. If you use $90g$ of butter, how much flour do you need?

    $100g$

    $120g$

    $54g$

    $150g$

33. A car travels $240$ km in $4$ hours. What is its average speed in km/h?

    $960$ km/h

    $80$ km/h

    $120$ km/h

    $60$ km/h

34. A packet of $6$ pens costs $£4.50$. What is the cost per pen?

    $£0.72$

    $£0.70$

    $£0.80$

    $£0.75$

35. A worker can assemble $10$ gadgets in $2$ hours. How many gadgets can they assemble in $5$ hours at the same rate?

    15

    25

    30

    20

36. A tap fills a $75$ litre tank in $15$ minutes. What is the flow rate in litres per minute?

    $5$ litres/minute

    $60$ litres/minute

    $10$ litres/minute

    $15$ litres/minute

37. A right-angled triangle has two shorter sides (legs) of length $6cm$ and $8cm$. What is the length of the hypotenuse?

    $10cm$

    $20cm$

    $100cm$

    $14cm$

38. A ladder $17m$ long leans against a wall. If the base of the ladder is $8m$ from the wall, how high up the wall does it reach?

    $10m$

    $25m$

    $15m$

    $9m$

39. A rectangular field is $90m$ long and $40m$ wide. What is the length of its diagonal to the nearest meter?

    $98m$

    $130m$

    $100m$

    $80m$

40. Is a triangle with sides $7cm$, $24cm$, and $25cm$ a right-angled triangle?

    Yes

    Cannot be determined

    Only if drawn to scale

    No

41. Calculate the value of $15 - 3 \times (8 + 2) \div 5$.

    6

    9

    10

    24

42. Solve the equation for $x$: $4x - 7 = 21$.

    7

    28

    3.5

    14

43. Share $£60$ in the ratio $2:3$. What is the value of the larger share?

    $£24$

    $£36$

    $£40$

    $£30$

44. A car travels $180$ km in $2.5$ hours. What is its average speed in km/h?

    $450$ km/h

    $50$ km/h

    $90$ km/h

    $72$ km/h

45. A right-angled triangle has legs of length $5$ cm and $12$ cm. What is the length of its hypotenuse in cm?

    10

    17

    13

    7

46. If $a = 4$ and $b = 3$, calculate the value of the expression $2a^2 - 3b$.

    23

    55

    41

    -1

47. Solve the equation for $y$: $2(y + 5) = 28$.

    51

    9

    14

    11.5

48. The ratio of red to blue marbles in a bag is $3:5$. If there are $18$ red marbles, how many blue marbles are there?

    25

    40

    10

    30

49. Shop A sells $3$ apples for $£1.50$. Shop B sells $5$ apples for $£2.00$. What is the price difference per apple, in pence, between the two shops?

    5

    10

    50

    20

50. A right-angled triangle has a hypotenuse of $17$ cm and one leg of $8$ cm. What is the length of the other leg in cm?

    9

    25

    15

    18