While we offer the largest collection of WAEC past questions on the web, we decided it would be better to create a free WASSCE quiz page that’d test students in real time on various WASSCE subjects.

Questions in our WASSCE Mathematics quiz section have been carefully curated from WASSCE past questions and other helpful resources.

## Quick Notes

- For the WASSCE Math quiz, we used the
**dollar sign ($**) when dealing with currencies to create a common standard that’d prevent confusion. - The answer for each question on this practice test will be shown after you’ve made your choice.
- Don’t cheat during the test. You would only be deceiving yourself if you do, so be strict with yourself.
- Not all questions on this practice test include hints.
- Contact us if you experience any problem on the test.

## WASSCE / WAEC Core / General Mathematics Practice Test

#### Quiz-summary

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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 questions-it is not hint worthy.

- Question 7 of 87
##### 7. Question

In theÂ pentagon below,Â 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 averageÂ 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**, thenÂ^{2}

**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?

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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 TexasÂ

Â miles at the rate ofÂ*m*Â miles per hour. How many hours does the trip take?*t*Correct

Incorrect

- Question 21 of 87
##### 21. Question

What is the value of (x + y)(x + y) if xy = -3 and x

^{2}Â + y^{2}Â = 10?Correct

Incorrect

- Question 22 of 87
##### 22. Question

The vertices of rectangle ABCD are A(-1,0), B(2,0), C(s,Â

*t*), and D(-1,4). How long is diagonal AC?Correct

Incorrect

- Question 23 of 87
##### 23. Question

Correct

Incorrect

- 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?

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Correct

Incorrect

- Question 27 of 87
##### 27. Question

Â 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) / (x-2) 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 â‰ 0, which of the following must be greater than n?

I). 2n

II). nÂ²

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

145Â Â 300 Â 610 Â 1230Â

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

Â If one edge of a 6-inch 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

Incorrect

- 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 â€“ 2 and ky = 9x â€“ 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

Â If 2Â

^{n + 1}Â = 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 â€“ 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

Â 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) = â”‚(xÂ² â€“ 50)â”‚, 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}Â + 2^{30}Â + 2^{30}Â + 2^{30}Â =Correct

Incorrect

- Question 61 of 87
##### 61. Question

( âˆš2 – âˆš3 )Â² =

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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 ….Â

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

Â If f(x) = xÂ² â€“ 3, where x is an integer, which of the following could be a value of f(x)?

I).Â 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

Â 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 x-y plane with end points at (-2,-2) and (2,3)?

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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 ?

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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?

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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).Â 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

LineÂ

*l*Â contains the points (3,1) and (4,4).

If lineÂ*m*Â is a different line, parallel to lineÂ*l*Â in the same coordinate plane, which of the following could be the equation of lineÂ*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 4aÂ²π, what is the area of the square?

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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

Â 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?

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Correct

Incorrect

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Pls put the solutions under the test practise so we can correct our mistakes.

Many thanks for the feedback. We would consider doing that going forward just that. Cheers.

Please, can you workout the solution to every question after selecting the answer. Thank you.

Many thanks for the feedback. We would consider doing that going forward just that. Cheers.