Thursday, October 23, 2025

Algebra chapter concept of 11 plus exam GL assessment examination

GL ASSESSMENT SAMPLE PAPER A - MATHEMATICS

Time: 10 minutes


Answer all questions. Show your working if necessary.


1.  Simplify 8p − 3p + 2p

A) 7p   B) 13p   C) 7p³   D) 5p


2.  If a = 6, what is the value of 2a + 7?

A) 15   B) 19   C) 26   D) 33


3.  Solve for n: n − 12 = 8

A) n = 1.5   B) n = 4   C) n = 20   D) n = 96


4.  Solve for k: 4k = 36

A) k = 9   B) k = 32   C) k = 40   D) k = 144


5.  Which expression means "8 less than triple a number x"?

A) 3x − 8   B) 8 − 3x   C) 3(x − 8)   D) 8x − 3


6.  Solve for m: 2m + 9 = 21

A) m = 6   B) m = 12   C) m = 15   D) m = 24


7.  If x = 5 and y = 2, what is the value of x² − y?

A) 8   B) 9   C) 23   D) 27


8.  Simplify 5x + 2y − x + 4y

A) 4x + 6y   B) 6x + 6y   C) 5x + 6y   D) 4x + 2y


9.  I think of a number, divide it by 4 and get 5. What was my number?

A) 1   B) 9   C) 15   D) 20


10. The perimeter of a square is 4 × side. If the perimeter is P and the side is s, which formula is correct?

A) s = P + 4   B) P = 4s   C) s = 4P   D) P = s + 4


50 More Questions: Fictional "Previous Year Paper"

GL ASSESSMENT SAMPLE PAPER B - MATHEMATICS

Time: 25 minutes


Answer all questions.


11. Simplify 9a − 5a + 2a

A) 6a   B) 12a   C) 6a³   D) 7a


12. If b = 7, what is 5b − 8?

A) 20   B) 27   C) 35   D) 43


13. Solve c + 15 = 32

A) c = 2   B) c = 17   C) c = 47   D) c = 480


14. Solve 7d = 56

A) d = 6   B) d = 8   C) d = 49   D) d = 392


15. Which expression means "the product of 6 and a number x, minus 10"?

A) 6x − 10   B) 10 − 6x   C) 6(x − 10)   D) x/6 − 10


16. Solve 4e − 7 = 21

A) e = 3.5   B) e = 7   C) e = 14   D) e = 28


17. If p = 4 and q = 3, what is 2p² + q?

A) 11   B) 19   C) 35   D) 41


18. Simplify 7m + 4n − 3m + n

A) 4m + 5n   B) 10m + 5n   C) 4m + 3n   D) 10m + 3n


19. I think of a number, multiply it by 3 and get 21. What was my number?

A) 7   B) 18   C) 24   D) 63


20. The cost of n books at £4 each is £C. Which formula is correct?

A) C = n + 4   B) C = 4n   C) n = 4C   D) n = C + 4


GL ASSESSMENT SAMPLE PAPER C - MATHEMATICS

Time: 25 minutes


21. Simplify 15x − 8x − x

A) 6x   B) 7x   C) 8x   D) 24x


22. If y = 12, what is y/3 + 5?

A) 6   B) 9   C) 14   D) 20


23. Solve z − 8 = 14

A) z = 1.75   B) z = 6   C) z = 22   D) z = 112


24. Solve f/4 = 9

A) f = 2.25   B) f = 5   C) f = 13   D) f = 36


25. "I think of a number n, add 4, and then double the result." Which expression shows this?

A) 2n + 4   B) n + 8   C) 2(n + 4)   D) 2n + 8


26. Solve 2(g + 6) = 22

A) g = 5   B) g = 8   C) g = 14   D) g = 17


27. If r = 5, what is the value of 40 − 6r?

A) 10   B) 34   C) 46   D) 210


28. Simplify 10 + 3u − 7 + u

A) 4u + 3   B) 3u + 17   C) 4u + 17   D) 13u


29. The sum of a number x and 11 is 29. What is x?

A) 18   B) 20   C) 40   D) 319


30. A rectangle's length is L cm and its width is W cm. The perimeter is 30 cm. Which equation could be correct?

A) L + W = 30   B) 2L + W = 30   C) L + 2W = 30   D) 2(L + W) = 30


GL ASSESSMENT SAMPLE PAPER D - MATHEMATICS

Time: 25 minutes


31. Simplify 4p × 3q

A) 7pq   B) 12pq   C) 12p   D) 12q


32. If a = 2 and b = 10, what is ab?

A) 8   B) 12   C) 20   D) 102


33. Solve 5k = 8

A) k = 0.625   B) k = 1.6   C) k = 3   D) k = 13


34. Solve 2m − 1 = 13

A) m = 6   B) m = 7   C) m = 12   D) m = 28


35. Tom has t toys. Sam has 3 times as many. Which expression shows how many Sam has?

A) t + 3   B) t − 3   C) t/3   D) 3t


36. Solve x/2 − 3 = 7

A) x = 5   B) x = 8   C) x = 17   D) x = 20


37. Simplify 6(2y − 1) − 4y

A) 8y − 7   B) 8y − 1   C) 12y − 5   D) 8y − 6


38. The area A of a square is A = s². If s = 6 cm, what is A?

A) 12 cm²   B) 24 cm²   C) 36 cm²   D) 72 cm²


39. A box weighs n kg. The weight is shared equally between 4 people. How much does each person get?

A) 4n kg   B) n/4 kg   C) n − 4 kg   D) n + 4 kg


40. If 3x + 2 = x + 12, what is x?

A) x = 2   B) x = 5   C) x = 7   D) x = 14


GL ASSESSMENT SAMPLE PAPER E - MATHEMATICS

Time: 25 minutes


41. Simplify 2a + 5b + 3a − b

A) 5a + 4b   B) 5a + 6b   C) 11ab   D) 10a + 4b


42. If m = 0, what is 10m + 8?

A) 0   B) 8   C) 10   D) 18


43. Solve 12 = n − 5

A) n = 7   B) n = 12   C) n = 17   D) n = 60


44. Solve 4(p + 3) = 32

A) p = 5   B) p = 8   C) p = 11   D) p = 20


45. A car travels at s miles per hour. How far will it travel in 3 hours?

A) 3s miles   B) s/3 miles   C) s + 3 miles   D) s − 3 miles


46. Solve 20 − 3q = 5

A) q = 5   B) q = 6   C) q = 8   D) q = 15


47. If h = 8, what is h ÷ 2 + 6?

A) 7   B) 10   C) 16   D) 22


48. Simplify 9 − 2x + 5 + x

A) 14 − x   B) 14 − 3x   C) 12 − x   D) 4 − x


49. A cake is cut into x pieces. Each piece is cut in half. How many pieces are there now?

A) x/2   B) x + 2   C) 2x   D) x − 2


50. The sum of three consecutive even numbers is 30. If the smallest is n, what is the equation?

A) n + (n + 1) + (n + 2) = 30   B) n + (n + 2) + (n + 4) = 30   C) 3n = 30   D) n + 2 + 4 = 30


GL ASSESSMENT SAMPLE PAPER F - MATHEMATICS

Time: 25 minutes


51. Simplify y² + y²

A) y²   B) 2y²   C) y⁴   D) 2y⁴


52. If a = 6 and b = 3, what is a² − b²?

A) 3   B) 9   C) 27   D) 33


53. Solve 2t/3 = 10

A) t = 5   B) t = 10   C) t = 15   D) t = 30


54. Solve 5 − x = 12

A) x = 7   B) x = 17   C) x = −7   D) x = −17


55. A plant is h cm tall. It grows 5 cm. Then it doubles in height. What is its new height?

A) 2h cm   B) 2h + 5 cm   C) 2(h + 5) cm   D) h + 10 cm


56. If 4(r − 2) = 2(r + 4), what is r?

A) r = 4   B) r = 8   C) r = 10   D) r = 16


57. Simplify 3a × 2b × c

A) 5abc   B) 6abc   C) 6a + b + c   D) 32abc


58. The volume of a cuboid is length × width × height. If length= l, width=5, height=2, what is the volume?

A) 10l   B) 7l   C) l + 7   D) 5l + 2


59. A bus has b passengers. At a stop, 8 get off and 3 get on. How many are now on the bus?

A) b − 5   B) b − 11   C) b + 5   D) b + 11


60. When 30 is added to a number, the result is the same as doubling the number. What is the number?

A) 15   B) 20   C) 30   D) 60

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