1 Class 3
DO NOT OPEN THIS BOOKLET UNTIL YOU ARE ASKED TO DO SO
INTERNATIONAL MATHEMATICS OLYMPIAD
2 Class 3 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) Add 5 (B) Add 15 (C) Add 100 (D) Add 105
2. Which of the following shows 1
5 of the figure is shaded?
(A) (B) (C) (D)
3. What is the weight of the stone? (A) 154 g (B) 157 g g 180 200 g 340 360 (C) 343 g (D) 346 g
4. What is the missing number? 22 22 ?
44 28 72 66 50 116 (A) 12 (B) 44 (C) 64 (D) 82
5. is more than ____.
(A) (B) (C) (D)
3 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?
(A) (B)
?
(C) (D)
8. Kirti, Mohit, Nisha and Anuj sold some of their cards at a card sale. Child Cards before sale Cards after sale Kirti Mohit Nisha Anuj 430 789 931 842 181 671 688 579 According to the chart, who sold most of the cards?
(A) Kirti (B) Mohit (C) Nisha (D) Anuj
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? (A) First grade Kindergarten 71 First grade Second grade Third grade Fourth grade 64 81 63 80 Fifth grade 72 Students in each grade (B) Second grade (C) Third grade (D) Fifth grade
4 Class 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) 0, 0, 6 (B) 6, 5, 8 4 5 8 + 2 5 8 P Q R (C) 2, 8, 5 (D) 2, 5, 8 13. Rohan used the three adjoining coupons. M in t Too thp aste Save 2 ` Mint Toothpaste Save ` 1 Fruity Cereal Mint Too thp aste Fruity Cereal Save 4 ` Graham Crackers Graham Crackers What is the total amount of money that Rohan saved by using the three coupons? (A) ` 70 (B) ` 7 (C) ` 2 (D) ` 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 B and Toy C Toy A Toy B
Toy C Toy D ` 14 ` 39 ` 15 ` 16 (B) Toy A, Toy B and Toy D (C) Toy B, Toy C and Toy D (D) Toy A, Toy C and Toy D
5 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 (C) ¸ 27 (D) 27 × 3 =
17. If (6 × 5) + 5 + 5 + 5 = × 5, which is the missing number in the box ?
(A) 8 (B) 9 (C) 10 (D) 11
18. Which 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 ? (A) 12 1 2 3 4 5 6 7 8 9 10 11 (B) 12 1 2 3 4 5 6 7 8 9 10 11 (C) 12 1 2 3 4 5 6 7 8 9 10 11 (D) 12 1 2 3 4 5 6 7 8 9 10 11
20. The adjoining table shows the time taken by 4 runners to complete a longdistance race. Who came in last?
(A) Aditya Runner Time Taken Aditya 3 hrs 25 mins Ben 3 hrs 18 mins Mrinal 3 hrs 59 mins Priyanka 3 hrs 7 mins (B) Ben (C) Mrinal (D) Priyanka
6 Class 3
21. The missing number in the box is
952 ¸ 8 = ¸ 3
(A) 119 (B) 375 (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 8 (C) 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 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 books (D) No, the teacher needs 6 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) 1 4 (B) 1 3 (C) 1 2 (D) 2 3
7 Class 3
SECTION III : EVERYDAY MATHEMATICS
26. Jenny lost 43 of her stamps. She only has 24 left. How many stamps did she had earlier ?
(A) 19 stamps (B) 67 stamps (C) 24 stamps (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) 120 marbles (B) 824 marbles (C) 204 marbles (D) 214 marbles 28. There are 24 footmarks of goats. So, how many goats are there ?
(A) 6 goats (B) 12 goats (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 money did he spend ? (B) How many pairs of socks did he buy ? (C) How many pairs of pants did he buy ? (D) How 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 figure 2
(A) 28 (B) 18 (C) 10 (D) None of these
8 Class 3
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) 7 tables (B) 8 tables (C) 9 tables (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) 215 cm (B) 430 cm (C) 501 cm (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) 3075 sweets (B) 3705 sweets (C) 6075 sweets (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) 36500 days (B) 3650 days (C) 365000 days (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) 350 pages (B) 451 pages (C) 480 pages (D) 720 pages
