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2025 WAEC MATHEMATICS

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Question 1 of 50
1. Question
Write 0.0364891 in three significant and express the answer in standard form
- 3.65 × 10²
- 2.64 × 10²
- 3.64 × 10⁻²
- 3.65 × 10⁻²
Correct
Incorrect
Question 2 of 50
2. Question
- 4
- 5
- 6
- 7
Correct
Incorrect
Question 3 of 50
3. Question
Simplify √200 - √72.
- 8√2
- 4√2
- 2√2
- 10√2
Correct
Incorrect
Question 4 of 50
4. Question
- 1/2
- 1/4
- 1
- 0
Correct
Incorrect
Question 5 of 50
5. Question
- (x-3)(x+1)
- (x+3)(x+1)
- (x-3)(1-x)
- (x+3)(1-x)
Correct
Incorrect
Question 6 of 50
6. Question
A variable P varies inversely as the square Q. If P = 5 where Q = 6, Find Q when P = 1.8
- 5
- 10
- 15
- 20
Correct
Incorrect
Question 7 of 50
7. Question
- {1,7,8}
- {1,8,9}
- {1,9,10}
- {1,8,10}
Correct
Incorrect
Question 8 of 50
8. Question
consider the following statements:
P: The weather is warm
q: The sun is shining
Which of the following correctly represents the statement. "The sun is shining if and only if the weather is warm" ?
- p ↔ ~q
- ~p ↔ ~q
- ~q ↔ ~ρ
- q ↔ p
Correct
Incorrect
Question 9 of 50
9. Question
- d= 8,12
- d= -8, -12
- d= -8,12
- d= 8, -12
Correct
Incorrect
Question 10 of 50
10. Question
Correct
Incorrect
Question 11 of 50
11. Question
- -2/3
- -3/2
- 3/2
- 2/3
Correct
Incorrect
Question 12 of 50
12. Question
- 1
- 5
- 10
- 25
Correct
Incorrect
Question 13 of 50
13. Question
- 3
- 4
- 6
- 8
Correct
Incorrect
Question 14 of 50
14. Question
John sold an article for #105,000.00 at a loss 4%. Find the cost price of the article.
- #108,000
- #105,400
- #109,200
- #109,375
Correct
Incorrect
Question 15 of 50
15. Question
The population of a town increase by 2% every year. After 2 years, the population is 83,232. calculate, correct to the nearest thousand, the original population
- 80,000
- 81,000
- 82,000
- 83,000
Correct
Incorrect
Question 16 of 50
16. Question
The third and ninth terms of arithmetic progression (AP) are 9 and - 27 respectively. find the fifth term.
- 18
- 3
- -3
- -6
Correct
Incorrect
Question 17 of 50
17. Question
Correct
Incorrect
Question 18 of 50
18. Question
Two balls bearing have volumes 1.6 cm³ and 5.4 cm³. find the ratio of their surface ares.
- 4 : 9
- 2:3
- 3:8
- 5:12
Correct
Incorrect
Question 19 of 50
19. Question
A profit of 8% was made when an article was sold for $500.00. At what price should it be sold to make profit of 16%.
- $537.04
- $540
- $573.04
- $580
Correct
Incorrect
Question 20 of 50
20. Question
The radius and height of a circular base cylinder are 8 cm and 14 cm respectively. Find its curved surface area. [Take π = 22/7].
- 562 cm^2
- 704 cm^2
- 352 cm^2
- 680 cm^2
Correct
Incorrect
Question 21 of 50
21. Question
A square has diagonal length of 10cm. find the perimeter of the square
- 10√2 cm
- 15√2 cm
- 20√2 cm
- 25√2 cm
Correct
Incorrect
Question 22 of 50
22. Question
what is the gradient of the line 7x - 5y +3 = 0
- 7/5
- 5/7
- -5/7
- -7/5
Correct
Incorrect
Question 23 of 50
23. Question
- k < - 6
- K > 6
- k < -12
- k > - 12
Correct
Incorrect
Question 24 of 50
24. Question
An interior angle of a regular polygon is 150 degree. how many sides has the polygon
- 6
- 9
- 12
- 15
Correct
Incorrect
Question 25 of 50
25. Question
Given that sin(x - 46)° = cos 62°, find the value of x.
- 46
- 62
- 74
- 90
Correct
Incorrect
Question 26 of 50
26. Question
two consecutive odd integers are such that the sum of 5 times the smaller and 3 times the bigger integer is 222. find the value of x
- 31
- 29
- 27
- 25
Correct
Incorrect
Question 27 of 50
27. Question
Kwakye, Sabina and Owusu shared an amount of $12,000.00. Kwakye had 20% of the amount and the remaining amount was shared between Sabina and Owusu in the ratio 5:3 respectively. How much did Sabina recieve?
- $2,400
- $3,600
- $6,000
- $9,600
Correct
Incorrect
Question 28 of 50
28. Question
In a class of 42 students, 21 offer history and 28 offer government, if each student offer at least one of the two subjects, find the probability that a student selected at random from the class offers government only.
- 1/6
- 1/3
- 1/2
- 3/4
Correct
Incorrect
Question 29 of 50
29. Question
The volume of a cone of height 18 cm is 8,316 cm³. Find the base radius of the cone. [Take π = 22/7].
- 21 cm
- 14 cm
- 28 cm
- 42 cm
Correct
Incorrect
Question 30 of 50
30. Question
- 4√3 cm
- 4 cm
- 2√4 cm
- 4√3/3 cm
Correct
Incorrect
Question 31 of 50
31. Question
The interior angles of a triangle are in the ratio 2 : 5 : 8, find the difference between the smallest and largest angles
- 12°
- 24°
- 48°
- 72°
Correct
Incorrect
Question 32 of 50
32. Question
A sector of a circle radius 21 cm subtends an angle of 120° at the centre.
Find the length of the arc of the sector.[Take π = 22/7]
- 11 cm
- 22 cm
- 44 cm
- 66 cm
Correct
Incorrect
Question 33 of 50
33. Question
the height of 4 oranges seedlings are: 2cm, 5 cm, 7cm and 10cm. calculate the variance
- 7.2
- 6
- 8.5
- 9.1
Correct
Incorrect
Question 34 of 50
34. Question
A cylinder and a cone have the same volume. If the height of the cone is 24 cm, find the height of the cylinder
- 4cm
- 8cm
- 12 cm
- 16 cm
Correct
Incorrect
Question 35 of 50
35. Question
The bearing of F from G is 064°. What is the bearing of G from F?
- 128°
- 180°
- 244°
- 116°
Correct
Incorrect
Question 36 of 50
36. Question
The interior angles of a hexagon are 107°, (2x)°, 150°, 95°, (2x - 15)° and 123°. Find the value of x.
- 57
- 65
- 106
- 120
Correct
Incorrect
Question 37 of 50
37. Question
In the diagram, ∠PMQ = 34° and ∠NQM = 28°. Use the information to answer questions 37 and 38.
Find ∠QTN.
- 152°
- 146°
- 124°
- 118°
Correct
Incorrect
Question 38 of 50
38. Question
In the diagram, ∠PMQ = 34° and ∠NQM = 28°. Use the information to answer questions 37 and 38.
Find ∠MPN.
- 62°
- 56°
- 34°
- 28°
Correct
Incorrect
Question 39 of 50
39. Question
Two towns X and Y are located at points (-2 , - 5) and ( 3,7) respectively. Calculate the distance between the two towns
- 114 units
- 25 units
- 13 units
- 12 units
Correct
Incorrect
Question 40 of 50
40. Question
In the diagram, P, Q, R and S are points on the circle with centre O, ∠ORS = (5x)° and ∠OQS = (6x + 24)°, find ∠QPS.
- 75°
- 87°
- 105°
- 150°
Correct
Incorrect
Question 41 of 50
41. Question
In the diagram, Q, R, S and T are points on the circle with centre O. ∠STR = 37° and ∠QRT = 59°. Find ∠SPR.
- 121°
- 96°
- 84°
- 59°
Correct
Incorrect
Question 42 of 50
42. Question
The angle of elevation of elevation of the top P of a ladder PQ from its base Q, 12m away from a wall is 36 degree. find correct to the nearest metre, the length of the ladder
- 9m
- 12m
- 15m
- 17m
Correct
Incorrect
Question 43 of 50
43. Question
In the diagram SR ∥ UW, ∠WVT = x, ∠VUT = y, ∠RST = 45° and ∠VTU = 20°.
Use this information to answer questions 43 and 44.
Find the angle marked x.
- 20°
- 65°
- 45°
- 135°
Correct
Incorrect
Question 44 of 50
44. Question
In the diagram SR ∥ UW, ∠WVT = x, ∠VUT = y, ∠RST = 45° and ∠VTU = 20°.
Use this information to answer questions 43 and 44.
Find the angle marked y.
- 20°
- 25°
- 45°
- 135°
Correct
Incorrect
Question 45 of 50
45. Question
A fair dice is thrown once. Find the probability of obtaining an odd number or prime number
- 1/2
- 1/3
- 2/3
- 3/4
Correct
Incorrect
Question 46 of 50
46. Question
The Venn diagram illustrates the information about the sets, P = {Pharmaceuticals}, C = {Smart People} and F = {My Friends}. Which of the following is a valid conclusion from the diagram?
- All pharmacists are my friends
- some of my friends are smart
- all smart people are my friend
- none of my friend are smart
Correct
Incorrect
Question 47 of 50
47. Question
The table shows the ages of students in a class. Use the information to answer questions 47 and 48.
Find, correct to the nearest whole number, the average age of the students.
- 13
- 14
- 15
- 16
Correct
Incorrect
Question 48 of 50
48. Question
The table shows the ages of students in a class. Use the information to answer questions 47 and 48.
What is the median age.
- 14
- 15
- 16
- 17
Correct
Incorrect
Question 49 of 50
49. Question
Ajoke will be 31 years in x years' time. If Ajoke is 6 years older than Chioma, find an expression for Chioma's presnt age
- 25 - x
- 31 + x
- 25 + x
- 31 - x
Correct
Incorrect
Question 50 of 50
50. Question
For what value of x is (3x + 2)/(2x + 1) undefined?
- 1/2
- -1/2
- -2/3
- 2/3
Correct
Incorrect