Math Olympiad 229 Questions for Grade 4

 

Olympiad Mathematics for Grade 4: Practice Questions 

Mathematics Olympiad at the Grade 4 level is not just about solving routine problems—it’s about building logical thinking, pattern recognition, and problem-solving skills. These competitions are designed to challenge young minds in a fun yet stimulating way. If you are preparing for Olympiad exams, this guide will help you strengthen your concepts through carefully selected questions.

 What Makes Olympiad Questions Different?

Unlike school exams, Olympiad questions:

• Focus on logical reasoning

• Require multi-step thinking

• Test conceptual clarity

• Include tricky patterns and puzzles

Let’s dive into some Olympiad-level practice questions suitable for Grade 4 students.

 Section 1: Logical Reasoning

Question 1

Find the missing number:

2, 6, 7, 21, 22, ___, 67

Solution

Observe the pattern:

• 2 × 3 = 6

• 6 + 1 = 7

• 7 × 3 = 21

• 21 + 1 = 22

• 22 × 3 = 66

• 66 + 1 = 67

So missing number = 66

Question 2

If

A = 1, B = 2, C = 3, D = 4, E = 5, F = 6, G = 7,
H = 8, I = 9, J = 10, K = 11, L = 12, M = 13,
N = 14, O = 15, P = 16, Q = 17, R = 18,
S = 19, T = 20, U = 21, V = 22, W = 23,
X = 24, Y = 25, Z = 26

 CAT = 24, DOG = 26, then BAT = ?

Solution

Assign positions:

• C=3, A=1, T=20 → 3+1+20 = 24

• D=4, O=15, G=7 → 4+15+7 = 26

Now:

• B=2, A=1, T=20 → 2+1+20 = 23

       For practice 

1. PEN = ?
2. CUP = ?
3. HAT = ?
4. MAP = ?
5. SUN = ?
6. CAR = ?
7. BOX = ?
8. RED = ?
9. BED = ?
10. FAN = ?
11. LIP = ?
12. TOP = ?
13. JAM = ?
14. KEY = ?
15. NET = ?
16. RUG = ?
17. FOX = ?
18. ZIP = ?
19. VAN = ?
20. TOY = ?
21. HEN = ?
22. ICE = ?
23. LOG = ?
24. MAT = ?
25. NAP = ?
26. OIL = ?
27. PIT = ?
28. RAT = ?
29. TAP = ?
30. WAX = ?

Answers 

PEN=35, CUP=40, HAT=29, MAP=30, SUN=54, CAR=22, BOX=41, RED=27, BED=11, FAN=21, LIP=37, TOP=51, JAM=24, KEY=41, NET=39, RUG=46, FOX=45, ZIP=51, VAN=37, TOY=60, HEN=27, ICE=17, LOG=34, MAT=34, NAP=31, OIL=36, PIT=45, RAT=39, TAP=37, WAX=48

Section 2: Number System

Question 3

Find the greatest 4-digit number divisible by 9.

Solution

Largest 4-digit number = 9999
Sum of digits = 9+9+9+9 = 36 (divisible by 9)

So answer = 9999

Question 4

Find the difference between the smallest 4-digit number and the largest 3-digit number.

Solution

• Smallest 4-digit number = 1000

• Largest 3-digit number = 999

Difference = 1000 − 999 = 1

 Section 3: Geometry & Measurement

Question 5

A square has a side length of 7 cm. What is its perimeter?

Solution

Perimeter = 4 × side
= 4 × 7 = 28 cm

Question 6

How many rectangles are there in a 2 × 3 grid?

Solution

Number of rectangles = (2×3×(2+1)×(3+1))/4
= (2×3×3×4)/4
= 72/4 = 18 rectangles

 Section 4: Time & Speed

Question 7

A train travels 60 km in 1 hour. How far will it travel in 3 hours?

Solution

Distance = speed × time
= 60 × 3 = 180 km

Question 8

What time will it be 135 minutes after 3:15 PM?

Solution

135 minutes = 2 hours 15 minutes

3:15 PM + 2 hours = 5:15 PM

• 15 minutes = 5:30 PM

 Section 5: Puzzles & Thinking Skills

Question 9

There are 5 apples and you take away 3. How many do you have?

Solution

You took 3 apples, so you have 3 apples

Question 10

If 1 pen costs ₹12, how much do 15 pens cost?

Solution

Cost = 12 × 15 =
12 × (10 + 5) = 120 + 60 = ₹180

 Section 6: Advanced Olympiad Level

Question 11

Find the missing number:

4, 9, 19, 39, ___

Solution

Pattern:

• 4 × 2 + 1 = 9

• 9 × 2 + 1 = 19

• 19 × 2 + 1 = 39

• 39 × 2 + 1 = 79

Question 12

How many factors does 24 have?

Solution

Factors of 24:
1, 2, 3, 4, 6, 8, 12, 24

Total = 8 factors

Question 13

A number is multiplied by 5 and then 20 is added. The result is 70. Find the number.

Solution

Let number = x

5x + 20 = 70
5x = 50
x = 10

Question 14

Find the value of:

25 + 36 ÷ 6 × 2

Solution

Follow BODMAS:

36 ÷ 6 = 6
6 × 2 = 12
25 + 12 = 37

Question 15

A box contains 3 red, 4 blue, and 5 green balls. How many balls are there in total?

Solution

Total = 3 + 4 + 5 = 12 balls

 Tips to Excel in Grade 4 Olympiad

Practice daily with a mix of topics
Focus on understanding patterns
 Learn shortcuts but don’t skip concepts
 Solve previous year questions

 Improve speed and accuracy

 Grade 4 Olympiad Mathematics  199 Practice Questions

Section 1: Logical Reasoning (1–40)

1. Find the next number: 3, 9, 10, 30, 31, ___

2. Which number is odd one out: 12, 18, 24, 35, 30

3. Find missing: 5, 15, 16, 48, ___

4. Complete pattern: A, C, F, J, ___

5. If CAT = 24, BAT = ?

6. 7, 14, 28, ___, 112

7. Find next: 2, 5, 11, 23, ___

8. Mirror of 69 is?

9. Which is smallest: 0.5, 0.05, 0.005

10. Find odd: 121, 144, 169, 150

11. 4, 6, 9, 13, ___

12. Missing: 8, 24, 25, 75, ___

13. Find pattern: 1, 4, 9, 16, ___

14. Which is largest: 3/4, 2/3, 5/6

15. If DOG = 26, FOX = ?

16. Next: 10, 20, 40, ___

17. 2, 6, 18, ___

18. Which is even: 135, 246, 357

19. Missing: 11, 22, 44, ___

20. Find next: 5, 7, 10, 14, ___

21. 3, 12, 48, ___

22. Odd one: 8, 27, 64, 100

23. Missing: 6, 13, 27, ___

24. 1, 3, 6, 10, ___

25. Which is greater: 0.9 or 0.99

26. 100, 90, 80, ___

27. 2, 3, 5, 7, ___

28. Find next: 11, 13, 17, ___

29. 9, 27, 81, ___

30. Missing: 7, 14, 28, ___

31. Which is smallest: 1/2, 1/3, 1/4

32. 4, 16, 64, ___

33. 5, 25, 125, ___

34. Missing: 2, 3, 6, 18, ___

35. 8, 12, 18, ___

36. Find odd: 2, 4, 8, 15

37. Next: 6, 11, 21, 41, ___

38. 1, 8, 27, ___

39. Missing: 10, 15, 25, 40, ___

40. 2, 4, 7, 11, ___

 Section 2: Numbers (41–90)

41. Greatest 3-digit number = ?

42. Smallest 4-digit number = ?

43. 999 + 1 = ?

44. 500 − 275 = ?

45. 45 × 2 = ?

46. 144 ÷ 12 = ?

47. 7 × 8 = ?

48. 90 ÷ 9 = ?

49. 36 + 64 = ?

50. 81 − 29 = ?

51. 25 × 4 = ?

52. 1000 − 1 = ?

53. 12 × 12 = ?

54. 200 ÷ 10 = ?

55. 15 × 6 = ?

56. 84 ÷ 7 = ?

57. 13 × 3 = ?

58. 72 ÷ 8 = ?

59. 111 + 222 = ?

60. 400 − 123 = ?

61. 10² = ?

62. 9² = ?

63. 8² = ?

64. 7² = ?

65. 6² = ?

66. 5² = ?

67. 4² = ?

68. 3² = ?

69. 2² = ?

70. 1² = ?

71. LCM of 2 and 3 = ?

72. HCF of 6 and 12 = ?

73. Even number after 98 = ?

74. Odd number after 99 = ?

75. 50% of 200 = ?

76. 25% of 100 = ?

77. 10% of 500 = ?

78. 1/2 of 60 = ?

79. 1/4 of 80 = ?

80. 3/4 of 100 = ?

81. 120 + 130 = ?

82. 300 − 150 = ?

83. 12 × 5 = ?

84. 60 ÷ 6 = ?

85. 14 × 3 = ?

86. 90 ÷ 5 = ?

87. 8 × 11 = ?

88. 77 ÷ 7 = ?

89. 100 + 200 = ?

90. 500 − 400 = ?

 Section 3: Geometry & Measurement (91–130)

91. Perimeter of square (side 5 cm)

92. Area of square (side 4 cm)

93. Triangle sides count = ?

94. Rectangle sides = ?

95. Cube faces = ?

96. Circle has ___ sides

97. 1 meter = ___ cm

98. 1 kg = ___ grams

99. 1 hour = ___ minutes

100. 1 day = ___ hours

101. Perimeter of rectangle (5,3)

102. Area rectangle (6,4)

103. 2×3 grid rectangles = ?

104. Triangle angles sum = ?

105. Square angles each = ?

106. Cube edges = ?

107. Cylinder faces = ?

108. Cone faces = ?

109. Sphere faces = ?

110. Pentagon sides = ?

111. Hexagon sides = ?

112. 1 week = ___ days

113. 1 year = ___ months

114. 100 cm = ___ m

115. 1000 m = ___ km

116. Perimeter square (side 8)

117. Area square (side 9)

118. Rectangle perimeter (10,5)

119. Rectangle area (7,3)

120. Triangle type (3,3,3)

121. Right angle = ___ degrees

122. Straight angle = ___ degrees

123. Full angle = ___ degrees

124. Acute angle < ___

125. Obtuse angle > ___

126. Line has ___ endpoints

127. Ray has ___ endpoint

128. Segment has ___ endpoints

129. Parallel lines meet?

130. Perpendicular angle = ?

 Section 4: Word Problems (131–170)

131. 5 apples cost ₹50. Cost of 1?

132. 10 pens ₹120 → 1 pen?

133. 3 books ₹90 → 1 book?

134. 2×(15+5)

135. 20−(5×3)

136. A train travels 50 km in 2 hours. 1 hour?

137. 4 children share 20 chocolates

138. 15+25+35

139. 100−45

140. 12×10

141. 18÷3

142. 9×9

143. 45+55

144. 120−60

145. 5×5×2

146. 100÷4

147. 60+70

148. 90−30

149. 7×6

150. 56÷8

151. 30% of 100

152. 40% of 200

153. 2/5 of 50

154. 3/10 of 100

155. ½ of 80

156. ¼ of 200

157. 5×(10+2)

158. 6×(8+2)

159. 100÷5

160. 200÷10

161. Sum of first 5 numbers

162. Difference 500−250

163. Product 20×5

164. Quotient 100÷25

165. 8×12

166. 144÷12

167. 11×11

168. 121÷11

169. 10×10

170. 100÷10

Section 5: Advanced Olympiad (171–199)

171. Next: 2, 6, 7, 21, ___

172. Missing: 3, 9, 27, ___

173. 5, 10, 20, ___

174. 1, 1, 2, 3, 5, ___

175. 4, 9, 19, 39, ___

176. Factors of 12 = ?

177. Prime number: 21, 23, 25

178. Composite: 7, 9, 11

179. Even prime = ?

180. Smallest prime = ?

181. 15+25×2

182. (15+25)×2

183. 36÷6×3

184. 36÷(6×3)

185. 100−(20+30)

186. 100−20+30

187. 50×2+10

188. 50×(2+10)

189. 90÷10+5

190. 90÷(10+5)

191. Sum angles triangle

192. Square perimeter side 6

193. Rectangle area 8×5

194. Cube faces

195. Sphere shape

196. 1000−999

197. 999+1

198. 25×25

199. 50×50

Section 1 (1–40):

1–32, 2–35, 3–49, 4–O, 5–23, 6–56, 7–47, 8–96, 9–0.005, 10–150, 11–18, 12–76, 13–25, 14–5/6, 15–45, 16–80, 17–54, 18–246, 19–88, 20–19, 21–192, 22–100, 23–55, 24–15, 25–0.99, 26–70, 27–11, 28–19, 29–243, 30–56, 31–1/4, 32–256, 33–625, 34–54, 35–27, 36–15, 37–81, 38–64, 39–65, 40–16

Section 2 (41–90):

41–999, 42–1000, 43–1000, 44–225, 45–90, 46–12, 47–56, 48–10, 49–100, 50–52, 51–100, 52–999, 53–144, 54–20, 55–90, 56–12, 57–39, 58–9, 59–333, 60–277, 61–100, 62–81, 63–64, 64–49, 65–36, 66–25, 67–16, 68–9, 69–4, 70–1, 71–6, 72–6, 73–100, 74–101, 75–100, 76–25, 77–50, 78–30, 79–20, 80–75, 81–250, 82–150, 83–60, 84–10, 85–42, 86–18, 87–88, 88–11, 89–300, 90–100

Section 3 (91–130):

91–20, 92–16, 93–3, 94–4, 95–6, 96–0, 97–100, 98–1000, 99–60, 100–24, 101–16, 102–24, 103–18, 104–180°, 105–90°, 106–12, 107–3, 108–2, 109–1, 110–5, 111–6, 112–7, 113–12, 114–1, 115–1, 116–32, 117–81, 118–30, 119–21, 120–Equilateral, 121–90°, 122–180°, 123–360°, 124–90°, 125–90°, 126–0, 127–1, 128–2, 129–No, 130–90°

Section 4 (131–170):

131–10, 132–12, 133–30, 134–40, 135–5, 136–25, 137–5, 138–75, 139–55, 140–120, 141–6, 142–81, 143–100, 144–60, 145–50, 146–25, 147–130, 148–60, 149–42, 150–7, 151–30, 152–80, 153–20, 154–30, 155–40, 156–50, 157–60, 158–60, 159–20, 160–20, 161–15, 162–250, 163–100, 164–4, 165–96, 166–12, 167–121, 168–11, 169–100, 170–10

Section 5 (171–199):

171–22, 172–81, 173–40, 174–8, 175–79, 176–1,2,3,4,6,12, 177–23, 178–9, 179–2, 180–2, 181–65, 182–80, 183–18, 184–2, 185–50, 186–110, 187–110, 188–600, 189–14, 190–6, 191–180°, 192–24, 193–40, 194–6, 195–Sphere, 196–1, 197–1000, 198–625, 199–2500

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