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Welcome to our WASSCE / WAEC practice test / quiz page for Core / General Mathematics.
This practice test contains almost 100 questions gotten from different sources, such as:
…and more.
The questions in this practice test, assess you in different areas. Virtually on every topic of the WASSCE / WAEC Core Mathematics Syllabus.
Get ready to face tough, tricky and key questions you should note.
Go directly to the WASSCE / WAEC practice test / quiz section on this page(skip the introductory text)
Before the you take the practice test…take note:
Table of Contents
 You would need your calculator and a sheet of paper to do your rough work when taking this test.
 The answer for each question on this practice test will be shown after you’ve made your choice.
 Don’t cheat. You would only be deceiving yourself if you do so.
 Not all questions on this practice test include hints.
 Questions on this practice test would be updated regularly if need be. Precisely, every 26 days.
 Contact us if you experience any problem on the test.
WASSCE / WAEC Core / General Mathematics practice test / quiz
Quizsummary
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 Answered
 Review

Question 1 of 87
1. Question
Ola’s average score after 3 tests is 88. What score on the 4th test would bring his average up to exactly 90?
Correct
Incorrect

Question 2 of 87
2. Question
If a positive whole number is divisible by 6 and by 9, then the number must be divisible by which of the following?
Correct
A positive whole number that’s divisible by 6 has at least one 2 and one 3 in its prime factorization. An positive whole number that’s divisible by 9 has at least two 3s in its prime factorization. Therefore, an integer that’s divisible by both 6 and 9 has at least one 2 and two 3s in its prime factorization. That means it is divisible by 2 and 3: 2 x 3 6, 3 x 3 9, and 2 x 3 x 3 = 18.
Incorrect
A positive whole number that’s divisible by 6 has at least one 2 and one 3 in its prime factorization. An positive whole number that’s divisible by 9 has at least two 3s in its prime factorization. Therefore, an integer that’s divisible by both 6 and 9 has at least one 2 and two 3s in its prime factorization. That means it is divisible by 2 and 3: 2 x 3 6, 3 x 3 9, and 2 x 3 x 3 = 18.

Question 3 of 87
3. Question
A printer can make print 3 pages every 2 seconds. At this rate, how many pages will be printed in 1 minute?
Correct
Incorrect

Question 4 of 87
4. Question
A printer can make print 3 pages every 2 seconds. At this rate, how many pages will be printed in 1 minute?
Correct
Incorrect
It’s simple ratios and proportion. But you have to convert the minute to seconds first to get the correct answer.

Question 5 of 87
5. Question
If the positive whole number x leaves a remainder of 2 when divided by 8, what will the remainder be when x + 9 is divided by 8?
Correct
Incorrect
You should have picked a number for x that has a remainder of 2 when divided by 8, such as 10. Add 9:10+9=19. Divide 19 by 8=2 Remainder 3. Therefore answer is 3.

Question 6 of 87
6. Question
Correct
Incorrect
Hint
This is an easy questionsit is not hint worthy.

Question 7 of 87
7. Question
In the pentagon below, each side is 1 cm. If a particle starts at point A and travels clockwise 183 cm along ABCDE, the particle will stop on which point?
Correct
Incorrect
Hint
One revolution equals to 5cm.Now that should make this question way easier for you.

Question 8 of 87
8. Question
What is the average of all the multiples of ten from 10 to 190 inclusive?
Correct
Incorrect

Question 9 of 87
9. Question
If 6% of B is 7.5, then 36% of B equals
Correct
Incorrect

Question 10 of 87
10. Question
A building has 6 floors and the number of rooms on each floor is X. If each room has exactly C chairs, which of the following gives the total number of chairs in the building?
Correct
Incorrect

Question 11 of 87
11. Question
An electric company is owned by 9 women and 1 man, each of whom owns an equal share. If one of the women sells 1/2 of her share to the man, and another woman keeps 1/5 of her share and sells the rest to the man, what fraction of the business will the man own?
Correct
Incorrect

Question 12 of 87
12. Question
The perimeter of an isosceles triangle is 30 cm. Which of the following cannot be the length of the base?
Correct
Incorrect

Question 13 of 87
13. Question
If @ is defined for all positive numbers a and b by a @ b = 2ab – b^{2}, then
5 @ 2 =Correct
Incorrect

Question 14 of 87
14. Question
The area of a circle 6 meters in diameter exceeds the combined areas of a circle 4 meters in diameter and a circle 2 meters in diameter by how many square meters?
Correct
Incorrect

Question 15 of 87
15. Question
Telephone calls cost 20 cents per minute for the first 15 minutes and 10 cents per minute thereafter. Which of the following represents the amount of money needed (in dollars) to talk x minutes (x greater than 15)?
Correct
Incorrect

Question 16 of 87
16. Question
What is the total amount of your purchases if you bought 5 shirts at $m and 2 more shirts at 50% off.
Correct
Incorrect

Question 17 of 87
17. Question
If a small cube (side=2) is filled twice and poured into a larger cube (side=4), what will be the height, in inches, of the water in the larger cube?
Correct
Incorrect

Question 18 of 87
18. Question
Which of the following equations gives the relationship between S and T in the table below?
S 1 2 3 4 5 6 T 1 4 7 10 13 16 Correct
Incorrect

Question 19 of 87
19. Question
Which of the following proportions is correct if 12 = pq ?
Correct
Incorrect

Question 20 of 87
20. Question
A car travels across Texas m miles at the rate of t miles per hour. How many hours does the trip take?
Correct
Incorrect

Question 21 of 87
21. Question
What is the value of (x + y)(x + y) if xy = 3 and x^{2} + y^{2} = 10?
Correct
Incorrect

Question 22 of 87
22. Question
The vertices of rectangle ABCD are A(1,0), B(2,0), C(s, t), and D(1,4). How long is diagonal AC?
Correct
Incorrect

Question 23 of 87
23. Question
Correct
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Question 24 of 87
24. Question
Helpers are needed to prepare for the fete. Each helper can make either 2 large cakes per hour, or 35 small cakes per hour. The kitchen is available for 3 hours and 20 large cakes and 700 small cakes are needed. How many helpers are required?
Correct
Incorrect

Question 25 of 87
25. Question
Jo’s collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to British stamps is 5 to 1, what is the ratio of US to British stamps?
Correct
Incorrect

Question 26 of 87
26. Question
A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?
Correct
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Question 27 of 87
27. Question
Two sets of 4 consecutive positive integers have exactly one integer in common. The sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set?
Correct
Incorrect

Question 28 of 87
28. Question
If f(x) = (x + 2) / (x2) for all integers except x=2, which of the following has the greatest value?
Correct
Incorrect

Question 29 of 87
29. Question
ABCD is a square of side 3, and E and F are the mid points of sides AB and BC respectively. What is the area of the quadrilateral EBFD ?
Correct
Incorrect

Question 30 of 87
30. Question
If n ≠ 0, which of the following must be greater than n?
I). 2n
II). n²
III). 2 – nCorrect
Incorrect

Question 31 of 87
31. Question
After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it reaches a height of 125 inches. How high (in inches) will it reach after its fourth bounce?
Correct
Incorrect

Question 32 of 87
32. Question
n and p are integers greater than 1
5n is the square of a number
75np is the cube of a number.
The smallest value for n + p isCorrect
Incorrect

Question 33 of 87
33. Question
145 300 610 1230
In the above sequence every term after the first is formed by multiplying by x and then adding y, where x and y are positive integers. What is the value of x + y?Correct
Incorrect

Question 34 of 87
34. Question
A confectioner has 500 mint, 500 orange and 500 strawberry flavored sweets. He wishes to make packets containing 10 mint, 5 orange and 5 strawberry sweets. What is the maximum number of packets of this type he can make?
Correct
Incorrect

Question 35 of 87
35. Question
If S is the sum of 8,6,4,2 and x, what must be the value of x for x to equal 1/5 S ?
Correct
Incorrect

Question 36 of 87
36. Question
25 per cent of 600 is equal to 15 per cent of what number?
Correct
Incorrect

Question 37 of 87
37. Question
What is the maximum number of points of intersection of four distinct lines in a plane?
Correct
Incorrect

Question 38 of 87
38. Question
If one edge of a 6inch ruler is to be marked in 1/10 inch units, how many marks will there be on the edge including the 0 and 6 inch marks?
Correct
Incorrect

Question 39 of 87
39. Question
Correct
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Question 40 of 87
40. Question
Given that the sum of the odd integers from 1 to 99 inclusive is 2500, what is the sum of the even integers from 2 to 100 inclusive?
Correct
Incorrect

Question 41 of 87
41. Question
In a certain game of 50 questions, the final score is calculated by subtracting twice the number of wrong answers from the total number of correct answers. If a player attempted all questions and received a final score of 35, how many wrong answers did he give?
Correct
Incorrect

Question 42 of 87
42. Question
What positive value for k would make the following the equations of a pair of parallel lines on the same coordinate axes?
y = kx – 2 and ky = 9x – 7Correct
Incorrect

Question 43 of 87
43. Question
What is the sum of all the positive integer factors of 12 ?
Correct
Incorrect

Question 44 of 87
44. Question
The average IQ of 4 people is 110. If three of these people each have an IQ of 105, what is the IQ of the fourth person ?
Correct
Incorrect

Question 45 of 87
45. Question
Of 60 students in a class 2/3 are girls, and 2/5 of the class are taking music lessons. What is the maximum number of girls that are not taking music lessons?
Correct
Incorrect

Question 46 of 87
46. Question
If 2 ^{n + 1} = 8, what is the value of n ?
Correct
Incorrect

Question 47 of 87
47. Question
Correct
Incorrect

Question 48 of 87
48. Question
One gallon of fuel mixture contains antifreeze in the ratio of 5 parts fuel to one part antifreeze. To this is added half a gallon of mixture which is one third antifreeze and two thirds fuel. What is the ratio of fuel to antifreeze in the final mixture? (Grid your answer as a fraction: fuel/antifreeze)
Correct
Incorrect

Question 49 of 87
49. Question
What is the total surface area of 2 identical cubes which together have a volume of 1458 units?
Correct
Incorrect

Question 50 of 87
50. Question
Two dials O and P have pointers that start from the vertical position as shown. Pointer O rotates anticlockwise at a rate of 5 degrees per second and pointer P rotates clockwise at 9 degrees per second. How many complete revolutions will P have made when O completes 335 complete revolutions?
Correct
Incorrect

Question 51 of 87
51. Question
N {12,18,2,6}
P {1,4,2,3}
If n and p are to be selected at random from sets N and P respectively, what is the probability that n/2p will be a member of set P?Correct
Incorrect

Question 52 of 87
52. Question
If f(x) = (12 – x)^{3/2}, and n = f(3), what is the value of 2n?
Correct
Incorrect

Question 53 of 87
53. Question
If an object travels at five feet per second, how many feet does it travel in one hour?
Correct
Incorrect

Question 54 of 87
54. Question
What is the average (arithmetic mean) of all the multiples of ten from 10 to 190 inclusive?
Correct
Incorrect

Question 55 of 87
55. Question
A cubical block of metal weighs 6 pounds. How much will another cube of the same metal weigh if its sides are twice as long?
Correct
Incorrect

Question 56 of 87
56. Question
In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?
Correct
Incorrect

Question 57 of 87
57. Question
If f(x) = │(x² – 50)│, what is the value of f(5) ?
Correct
Incorrect

Question 58 of 87
58. Question
Amy has to visit towns B and C in any order. The roads connecting these towns with her home are shown on the diagram. How many different routes can she take starting from A and returning to A, going through both B and C (but not more than once through each) and not travelling any road twice on the same trip?
Correct
Incorrect

Question 59 of 87
59. Question
Correct
Incorrect

Question 60 of 87
60. Question
2^{30} + 2^{30} + 2^{30} + 2^{30} =
Correct
Incorrect

Question 61 of 87
61. Question
( √2 – √3 )² =
Correct
Incorrect

Question 62 of 87
62. Question
The distance from town A to town B is five miles. C is six miles from B. Which of the following could be the distance from A to C?
I ). 11
II). 1
III). 7Correct
Incorrect

Question 63 of 87
63. Question
If pqr = 1 , rst = 0 , and spr = 0, which of the following must be zero?
Correct
Incorrect

Question 64 of 87
64. Question
20 , 16 , 12 , 8 ….
In the sequence above, each term after the first is 4 greater than the preceding term. Which of the following could not be a term in the sequence?Correct
Incorrect

Question 65 of 87
65. Question
If f(x) = x² – 3, where x is an integer, which of the following could be a value of f(x)?
I). 6
II). 0
III). 6Correct
Incorrect

Question 66 of 87
66. Question
For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 200?
Correct
Incorrect

Question 67 of 87
67. Question
In the above correctly worked addition sum, A,B,C and D represent different digits, and all the digits in the sum are different. What is the sum of A,B,C and D?
Correct
Incorrect

Question 68 of 87
68. Question
12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will the water rise?
(1 litre = 1000cm^{3})Correct
Incorrect

Question 69 of 87
69. Question
Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P
Correct
Incorrect

Question 70 of 87
70. Question
One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?
I). 24
II). 20
III). 5Correct
Incorrect

Question 71 of 87
71. Question
A certain animal in the zoo has consumed 39 pounds of food in six days. If it continues to eat at the same rate, in how many more days will its total consumption be 91 pounds?
Correct
Incorrect

Question 72 of 87
72. Question
A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube?
Correct
Incorrect

Question 73 of 87
73. Question
What is the length of the line segment in the xy plane with end points at (2,2) and (2,3)?
Correct
Incorrect

Question 74 of 87
74. Question
n is an integer chosen at random from the set
{5, 7, 9, 11 }
p is chosen at random from the set
{2, 6, 10, 14, 18}
What is the probability that n + p = 23 ?
Correct
Incorrect

Question 75 of 87
75. Question
A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ?
Correct
Incorrect

Question 76 of 87
76. Question
All the dots in the array are 2 units apart vertically and horizontally. What is the length of the longest line segment that can be drawn joining any two points in the array without passing through any other point ?
Correct
Incorrect

Question 77 of 87
77. Question
If the radius of the circle with centre O is 7 and the measure of angle AOB is 100, what is the best approximation to the length of arc AB ?
Correct
Incorrect

Question 78 of 87
78. Question
Sheila works 8 hours per day on Monday, Wednesday and Friday, and 6 hours per day on Tuesday and Thursday. She does not work on Saturday and Sunday. She earns $324 per week. How much does she earn in dollars per hour?
Correct
Incorrect

Question 79 of 87
79. Question
ABCD is a parallelogram. BD = 2. The angles of triangle BCD are all equal. What is the perimeter of the parallelogram?
Correct
Incorrect

Question 80 of 87
80. Question
If the product of 6 integers is negative, at most how many of the integers can be negative?
Correct
Incorrect

Question 81 of 87
81. Question
If a positive integer n, divided by 5 has a remainder 2, which of the following must be true?
I). n is odd
II). n + 1 cannot be a prime number
III). (n + 2) divided by 7 has remainder 2Correct
Incorrect

Question 82 of 87
82. Question
A solid cube of side 6 is first painted pink and then cut into smaller cubes of side 2. How many of the smaller cubes have paint on exactly 2 sides?
Correct
Incorrect

Question 83 of 87
83. Question
Line l contains the points (3,1) and (4,4).
If line m is a different line, parallel to line l in the same coordinate plane, which of the following could be the equation of line m?Correct
Incorrect

Question 84 of 87
84. Question
In the figure above the square has two sides which are tangent to the circle. If the area of the circle is 4a²π, what is the area of the square?
Correct
Incorrect

Question 85 of 87
85. Question
A triangle has a perimeter 13. The two shorter sides have integer lengths equal to x and x + 1. Which of the following could be the length of the other side?
Correct
Incorrect

Question 86 of 87
86. Question
A machine puts c caps on bottles in m minutes. How many hours will it take to put caps on b bottles?
Correct
Incorrect

Question 87 of 87
87. Question
Paint needs to be thinned to a ratio of 2 parts paint to 1.5 parts water. The painter has by mistake added water so that he has 6 litres of paint which is half water and half paint. What must he add to make the proportions of the mixture correct?
Correct
Incorrect
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The start button isn’t functioning
We’re working on it…Should be working normally shortly. Thanks for your anticipated patience.
Everything has been working fine for a few days now Lisa. We hope you don’t encounter any problems anymore…
These questions are greatly improving my math skills
That’s the main aim. We’re very glad to hear that Addo. You can share this math practice / quiz test with your friends. Keep practicing…