INTERNATIONAL MATHEMATICS MATHEMATICS OL OLYMPIAD YMPIAD
CLASS 3 DO NOT OPEN THIS BOOKLET UNTIL YOU ARE ASKED TO DO SO
Class 3
1
SECTION I : LOGICAL REASONING 1.
Binny wrote the number pattern shown below. 114, 219, 324, 429, 534 Which of the following rules Binny used for the pattern? (A) (A) Add 5
2.
Which of the following shows (A)
3.
(B) (B) Add 15
(C) (C) Add 100 1 5
(B)
(D) (D) Add 105
of the figure is shaded? (C)
(D)
What is the weight of the the stone? (A) (A) 154 g (B) (B) 157 g 180
(C) (C) 343 g
g
200
340
g
360
(D) (D) 346 g 4.
What is the missing number? (A) 12 (B) 44
22
22
?
44
28
72
66
50
116
(C) 64 (D) 82 5.
is more than ____. (A)
(B)
(C)
(D)
SPACE FOR ROUGH WORK
2
Class 3
6.
How many triangles are shaded in the adjoining figure? (A) 9 (B) 7 (C) 10 (D) 8
7.
Which is the missing figure?
8.
(A)
(B)
(C)
(D)
?
Kirti, Mohit, Nisha and Anuj sold some of their cards at a card sale. Child
Cards Cards before sale after sale
Kirti
430
181
Mohit
789
671
Nisha
931
688
Anuj
842
579
According to the chart, who sold most of the cards? (A) (A) Kirti (B) (B) Mohit (C) (C) Nisha 9.
In the cafeteria at a school, there are 8 tables for each grade. Which grade can have exactly 9 students sitting at each table?
(D) (D) Anuj Students in each grade Kindergarten
71
First grade
64
(A) First grade
Second grade
81
(B) (B) Second grade
Third grade
63
(C) (C) Third grade
Fourth grade
80
(D) (D) Fifth grade
Fifth grade
72
SPACE FOR ROUGH WORK
Class 3
3
10. Which is the next figure ? ?
(A)
(B)
(C)
(D)
SECTION II : MATHEMATICAL REASONING 11. Harish can use the fact, 3 × 4 = 12, to help him solve a related problem. Which of the following could be the problem he is trying to solve ? (A) – 4 = 12 (B) –3=4 (C) ÷3=4 (D) + 4 = 12 12. Find the value of P, Q and R respectively in the adjoining problem. (A) (A) 0, 0, 6 (B) (B) 6, 5, 8 (C) (C) 2, 8, 5 (D) (D) 2, 5, 8 13. Rohan used used the three three adjoining adjoining coupons. What is the total amount of money that Rohan saved by using the three coupons? (A)
`
70
(B)
`
7
Save
2 Mint Toothpaste `
(C)
Save
T o o t M h i n t p a s t e
`
` 1 Fruity Cereal
T o o M t h i n p a t s t e
458 + 2PQ R 5 8
Graham Crackers
Fruity Cereal
Graham Crackers
Save `
2
(D)
`
4
4
14. An art teacher has 18 pictures to hang on the wall. Which of these is one way she can hang all of the pictures with none left over? (A) 5 rows of 3 pictures (B) 6 rows of 3 pictures (C) 8 rows of 2 pictures (D) 10 rows of 8 pictures 15. Sandeep spent
45 on 3 toys. Which 3 toys did he buy ?
(A) Toy A, Toy Toy B and a nd Toy C
Toy D
Toy B
Toy A
Toy C
(B) Toy A, Toy Toy B and a nd Toy Toy D (C) Toy B, Toy C and Toy D (D) Toy A, Toy Toy C and Toy D
`
14
`
39
`
15
`
16
SPACE FOR ROUGH WORK
4
Class 3
16. Anshuman put 27 stickers in his notebook. He put 3 stickers on each page. Which number sentence can be used to find how many pages Anshuman put stickers on ? (A) 27 ¸ 3 =
(B) 27 ×
=3
17. If (6 × 5) + 5 + 5 + 5 = (A) 8
(C)
¸
27
(D) (D) 27 × 3 =
× 5, which is the missing number in the box ?
(B) 9
(C) 10
(D) 11
18. Which number number is 100 more than the model shown below ?
(A) 158
(B) 258
(C) 358
(D) 385
19. Aditya has a gymnastics class every Saturday morning for 2 hours and 45 minutes. The class starts at 8 : 30. Which clock shows the time when Aditya's class ends ? 11
12
1
(A)
11 2
10 9
3 4
8 7
6
5
12
1
(B)
11 10
2
10
3
9 8
4 7
6
(C)
12
1
11 2 3
9 4
8
5
7
6
12
1 2
10
(D)
3
9
4
8 7
5
6
5
20. The adjoining table shows the time taken by 4 runners to complete a long-distance race. Who came in last?
Runnerr Runne
Time Taken
(A) (A) Aditya
Aditya
3 hrs 25 mins
Ben
3 hrs 18 mins
Mrinal
3 hrs 59 mins
Priyanka
3 hrs 7 mins
(B) Ben (C) (C) Mrinal (D) (D) Priyanka SPACE FOR ROUGH WORK
Class 3
5
21. The missing number in the box is 952 (A) 119
8 =
(B) 375
3 (C) 357
(D) 537
22. Meeku's mom cut a watermelon into 8 equal pieces.
Meeku ate 3 pieces. What fraction of the watermelon was left ? (A)
3 8
(B)
4
(C)
8
5 8
(D)
8 3
23. There will be 10 to 12 persons at a picnic. Each person will eat 2 hamburgers. There are 8 hamburgers in a package. How many packages are needed ? (A) 2
(B) 3
(C) 4
(D) 5
24. A teacher has 28 maths books on a shelf and 30 maths maths books in a box. The teacher needs 62 maths books. Does the teacher have enough maths books ? (A) Yes, there are exactly 62 books
(B) Yes, there are more than 62 books
(C) No, the teacher needs 4 more more books
(D) No, the teacher needs 6 more more books
25. Sonia had 12 stickers. She gave 3 stickers to each of her 4 friends. What fraction of the 12 stickers did she give to each friend ? (A) (C)
1 4 1 2
(B) (D)
1 3 2 3
SPACE FOR ROUGH WORK
6
Class 3
SECTION SECTI ON III : EVERYDA EVERYDAY Y MA MATHEMATICS THEMATICS 26. Jenny lost 43 of her stamps. She only has 24 left. How many stamps did she had earlier ? (A) (A) 19 stamps
(B) (B) 67 stamps
(C) (C) 24 stamps
(D) (D) 58 stamps
27. Mary and her friends put their marbles into groups of ten. Mary had 6 groups, Sandy had 5 groups, and Jack had 9 groups. There were 4 marbles left over. How many marbles did the three friends have altogether ? (A) (A) 120 marbles
(B) (B) 824 marbles
(C) (C) 204 marbles
(D) (D) 214 marbles
28. There are 24 footmarks of goats. So, how many goats are there ? (A) (A) 6 goats
(B) (B) 12 goats
(C) (C) 14 goats
(D) 8 goats
29. "Rancho went shopping for clothes. He bought pants, sweaters, 3 shirts, and socks. How many sweaters and shirts did he buy?" What information is needed to solve the problem above ? (A) How much much money did he spend ?
(B) How many many pairs of socks did he buy ?
(C) How many many pairs of pants did he buy ?
(D) How many many sweaters did he buy ?
30. The shape shown in figure 1 has 2 triangles. If I put similar shapes together as shown in figure 2, how many triangles will I have in figure 2 ?
figure 1
(A) 28
(B) 18
figure 2
(C) 10
(D) (D) None of these
SPACE FOR ROUGH WORK
Class 3
7
31. If there are 4 square tables and each person can sit around a side. How many tables will you need for 35 people ? (A) (A) 7 tables
(B) (B) 8 tables
(C) (C) 9 tables
(D) (D) 10 tables
32. Kathy bought 3 pieces of ribbons. The green and yellow ribbons were of the same length and each was 2 m 15 cm long. The length of the purple ribbon was 80 cm long. What was the total length of the 3 pieces of ribbons ? (A) (A) 215 cm
(B) (B) 430 cm
(C) (C) 501 cm
(D) (D) 510 cm
33. There are 123 boxes of sweets in a store. There are 25 sweets in each box. How many sweets are in the store? (A) (A) 3075 sweets
(B) (B) 3705 sweets
(C) (C) 6075 sweets
(D) (D) 4718 sweets
34. There are 365 days in one year, and 100 years in one century. How many days are there in one century? (A) (A) 36500 days
(B) (B) 3650 days
(C) (C) 365000 days
(D) (D) 365 days
35. Samrat read 2 books. He read the first book in one week with 25 pages everyday. He read the second book in 12 days with 23 pages everyday. What is the total number of pages that Samrat read ? (A) (A) 350 pages
(B) (B) 451 pages
(C) (C) 480 pages
(D) (D) 720 pages
SPACE FOR ROUGH WORK
8
Class 3
