Math Olympiad Practice: Class 4
8 minFull explanation, worked examples & memory tricks in the app
Kit Library / Mathematics / Olympiad Mathematics
⚡ Topic Learning KitMath Olympiad
English 25 leveled MCQs Free
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Leveled MCQ practice
Try the smart MCQs from this kit
All 25 questions, laddered from warm-up to topper-level, each with its answer and the reasoning behind it.
Warm-up · 17 questions
Q1. What is the value of $20 + 4 \times 5$?
Beginner
A
100
B
120
C
40
D
24
Show the answer
C · 40
Following the order of operations, multiplication is done before addition: $4 \times 5 = 20$, then $20 + 20 = 40$.
Q2. Which of the following is a prime number?
Beginner
A
15
B
7
C
21
D
9
Show the answer
B · 7
A prime number has exactly two distinct factors: 1 and itself. 7 is divisible only by 1 and 7, so it is prime. 9, 15, and 21 are composite.
Q3. How many minutes are there in $\frac{3}{4}$ of an hour?
Beginner
A
30
B
50
C
45
D
40
Show the answer
C · 45
1 hour = 60 minutes. $\frac{3}{4} \times 60 = 45$ minutes.
Q4. If $x + 5 = 12$, what is the value of $x$?
Beginner
A
7
B
5
C
12
D
17
Show the answer
A · 7
Subtract 5 from both sides: $x = 12 - 5 = 7$.
Q5. A rectangle has length 8 cm and width 5 cm. What is its area?
Beginner
A
80 cm$^2$
B
40 cm$^2$
C
26 cm$^2$
D
13 cm$^2$
Show the answer
B · 40 cm$^2$
Area of a rectangle = length $\times$ width = $8 \times 5 = 40$ cm$^2$.
Q6. Which fraction is equivalent to $\frac{2}{3}$?
Beginner
A
$\frac{3}{4}$
B
$\frac{6}{9}$
C
$\frac{4}{9}$
D
$\frac{5}{6}$
Show the answer
B · $\frac{6}{9}$
Multiply numerator and denominator of $\frac{2}{3}$ by 3: $\frac{2 \times 3}{3 \times 3} = \frac{6}{9}$.
Q7. The sum of two odd numbers is always even.
Beginner
A
True
B
False
Show the answer
A · True
An odd number can be written as $2k+1$. The sum of two odds is $(2k+1)+(2m+1)=2(k+m+1)$, which is even.
Q8. A triangle can have two right angles.
Beginner
A
True
B
False
Show the answer
B · False
The sum of angles in a triangle is $180^\circ$. Two right angles would sum to $180^\circ$, leaving $0^\circ$ for the third angle, which is impossible.
Q9. What is the value of $5 + 7$?
Beginner
A
10
B
11
C
12
D
13
Show the answer
C · 12
The correct answer is $12$ because $5 + 7 = 12$.
Q10. Which of the following shapes has three sides?
Beginner
A
Square
B
Circle
C
Triangle
D
Rectangle
Show the answer
C · Triangle
A triangle is defined as a shape with three sides.
Q11. What is the next number in the sequence: 1, 2, 3, 4, ___?
Beginner
A
6
B
3
C
4
D
5
Show the answer
D · 5
The next number is $5$ because the sequence increases by $1$ each time.
Q12. Which of the following is an even number?
Beginner
A
11
B
5
C
8
D
3
Show the answer
C · 8
The correct answer is $8$ because even numbers are divisible by $2$.
Q13. What is the value of $10 - 4$?
Beginner
A
5
B
8
C
6
D
7
Show the answer
C · 6
The value is $6$ because $10 - 4 = 6$.
Q14. What is the shape of a ball?
Beginner
A
Triangle
B
Square
C
Rectangle
D
Sphere
Show the answer
D · Sphere
A ball is shaped like a sphere, which is round and three-dimensional.
Q15. How many sides does a hexagon have?
Beginner
A
7
B
5
C
6
D
4
Show the answer
C · 6
A hexagon has $6$ sides by definition.
Q16. What is the value of $3^2$?
Beginner
A
6
B
12
C
15
D
9
Show the answer
D · 9
The value of $3^2$ is $9$ because $3 imes 3 = 9$.
Q17. Which of the following numbers is a multiple of $5$?
Beginner
A
14
B
22
C
18
D
30
Show the answer
D · 30
The correct answer is $30$ because it can be expressed as $5 imes 6$.
Building up · 7 questions
Q18. What is the next number in the pattern: 2, 6, 12, 20, 30, ___?
Intermediate
A
42
B
40
C
44
D
36
Show the answer
A · 42
The differences between consecutive terms are 4, 6, 8, 10, so the next difference is 12. Thus $30 + 12 = 42$.
Q19. If $\frac{1}{3}$ of a number is 12, what is the number?
Intermediate
A
48
B
24
C
36
D
4
Show the answer
C · 36
Let the number be $x$. Then $\frac{1}{3}x = 12$, so $x = 12 \times 3 = 36$.
Q20. What is the sum of the first 10 positive integers?
Intermediate
A
50
B
45
C
55
D
60
Show the answer
C · 55
The sum of the first $n$ positive integers is $\frac{n(n+1)}{2}$. For $n=10$, it is $\frac{10 \times 11}{2} = 55$.
Q21. A square has a perimeter of 20 cm. What is its area?
Intermediate
A
30 cm$^2$
B
16 cm$^2$
C
20 cm$^2$
D
25 cm$^2$
Show the answer
D · 25 cm$^2$
Perimeter of a square = $4 \times$ side, so side = $20 \div 4 = 5$ cm. Area = side$^2$ = $5^2 = 25$ cm$^2$.
Q22. What is the smallest number that must be added to 123 to make it divisible by 5?
Intermediate
A
1
B
2
C
3
D
4
Show the answer
B · 2
A number is divisible by 5 if it ends in 0 or 5. The next multiple of 5 after 123 is 125, so we need to add 2.
Q23. What is the value of $2^3 + 3^2$?
Intermediate
A
35
B
13
C
25
D
17
Show the answer
D · 17
$2^3 = 8$ and $3^2 = 9$, so $8 + 9 = 17$.
Q24. A number is doubled and then 5 is added. The result is 17. What is the number?
Intermediate
A
6
B
8
C
7
D
11
Show the answer
A · 6
Let the number be $x$. Then $2x + 5 = 17$. Subtract 5: $2x = 12$, so $x = 6$.
Topper level · 1 questions
Q25. If today is Tuesday, what day will it be after 100 days?
Advanced
A
Friday
B
Thursday
C
Wednesday
D
Saturday
Show the answer
B · Thursday
100 divided by 7 leaves a remainder of 2 (since $7 \times 14 = 98$). Two days after Tuesday is Thursday.
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