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SASMO 2027 · Grades 2-3 · SET 020 · Self-study

Question 1

Editorial self-study SET for 2027; not an official SASMO 2027 examination. Known source years remain in individual attributions. Time: 90 minutes. Platform scoring starts at 0: Q1–15 are worth 2 points each; Q16–25 are worth 4 points each; wrong and blank answers score 0; maximum 70. Official SASMO scoring instead starts at 15, deducts 1 for an incorrect Section A answer and has a maximum of 85. Verified means editorially checked; assumptions, source errors and mathematical uncertainty are disclosed where relevant.

Find the perimeter, in centimeters, of a rectangle with length 6 cm and breadth 3 cm.

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Question 2

Five ancient symbols, eye, sun, flower, comb and fish, represent 1, 2, 3, 4 and 5, each used once. The original equations below say flower+flower=fish; sun+sun=flower; sun+fish=comb. Which symbol represents 3? Enter its name.

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Question 3

Carmen, Michael, Lisa and Thomas each bring one different food to a picnic: watermelon, cookies, sandwiches or apples. Carmen and Lisa are the girls. Neither girl brings fruit; Carmen brings something sweet; Michael brings something that grows on trees. What does each child bring? Enter the food names for Carmen; Michael; Lisa; Thomas, in that order.

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Image labels / Nhãn hình: watermelon = dưa hấu; cookies = bánh quy; sandwiches = bánh mì kẹp; apples = táo.

Question 4

It takes 5 minutes to boil an egg. What is the least time needed to boil 3 eggs?

Assume the pot can hold all three eggs and boiling them together does not change the stated cooking time.
  1. 8 minutes
  2. 12 minutes
  3. 15 minutes
  4. 18 minutes
  5. None of the above

Question 5

Linda gives all 27 apples to a group of friends. Each receives a positive whole number of apples, and these numbers are consecutive. What is the largest possible number of friends?
  1. 2
  2. 3
  3. 4
  4. 5
  5. None of the above

Question 6

Points P, Q, R and S lie on one straight line, with PQ=12 cm, QR=14 cm and RS=18 cm. They are not required to occur in the listed order. The original languages ask different targets: (a) English asks the shortest possible PS; (b) Vietnamese asks PQ. Answer both lengths in centimeters as (a); (b). The original choices for each target are A:6, B:8, C:10, D:12, E:14.

Question 7

Lance reads one more page of a comic book each day than on the previous day. On day 4 he reads 39 pages. After 9 days, 48 pages remain unread. How many pages are in the book?

Question 8

Help John tell the time. (a) He must be at school in 10 minutes. It is now 6:15 a.m.; when should he arrive? (The Vietnamese wording says the journey takes 10 minutes, starting now.) (b) Lunch begins at 11:30 a.m. and lasts 25 minutes. Mark the finishing time on the blank clock. (c) John and his brother leave home 40 minutes after the time on the original clock. What time is that? Read the long hand as minutes and the short hand as hours. Enter the three times as h:mm; h:mm; h:mm, and draw the requested clock hands on paper.

(a)

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(b)

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(c)

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For (c), the printed answer key conflicts with the clock. Use the actual clock shown, with the conventional long-minute/short-hour hands, rather than the key.

Question 9

Peta the rabbit has 20 carrots and eats 2 each day. She eats her 12th carrot on Wednesday. On which day of the week did she start?

Question 10

Lana is a Grade 3 student. Which is the closest reasonable approximation to her age?
  1. 108 hours
  2. 108 months
  3. 108 weeks
  4. 108 years

Question 11

In a certain year, April 1 is Saturday. What day of the week is May 17 that year? Use the source code: Sunday=0001, Monday=0002, Tuesday=0003, Wednesday=0004, Thursday=0005, Friday=0006, Saturday=0007. Enter four digits.

Question 12

When 10101 is subtracted from 1000000, how many times does the digit 9 appear in the difference? Use the Primary 3 choices below. The other printing gives A:2, B:3, C:4, D:5, E:none of the above.
  1. 3
  2. 4
  3. 5
  4. 2
  5. None of the above

Question 13

A drawer contains 2 white socks, 4 grey socks and 6 black socks. Mary picks socks without looking and without putting them back. What is the minimum number she must pick to guarantee 3 socks of one color?

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Question 14

Cindy, Lisa and Tanya each adopt a different animal: a dog, a cat or a rabbit. They name them Fluffy, Rex and Tutu, each name used once. The dog is not named Tutu. Lisa’s pet is Fluffy and does not hop. Tanya adopts Rex, who is not a dog. Cindy does not adopt the rabbit. Identify each girl’s animal and its name. Enter Cindy’s animal,name; Lisa’s animal,name; Tanya’s animal,name.

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Grid labels / Nhãn bảng: Tên chủ = Owner; Tên thú cưng = Pet name; Loại thú cưng = Animal type; Chó = Dog; Mèo = Cat; Thỏ = Rabbit.

Question 15

In each independent set of pictures, equal symbols have equal values. Find the value of the final symbol. The first printing uses heart H, round gem G and diamond D: H+H=12; H×G+G=21; D−G=7. The two additional printings replace these respectively with (teardrop, round gem, diamond) and (heart, square gem, star gem), retaining the same equations. Give their common final value.

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Question 16

Alex has 2 dollars, Bill 3 dollars, Chloe 5 dollars and Dorothy 6 dollars. They pool all their money and share it equally among the four of them. How many dollars does each get?

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Question 17

Find the mass of one mango, in grams, using the balanced scales. One mango balances 6 apples; 2 apples balance 3 of the same round fruit; 2 round fruits balance 60 g.

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Question 18

Sarah’s flower garden has 10 rows. There are 4 flowers in row 1, 8 in row 2 and 12 in row 3, and the pattern continues. How many flowers are in the last row?

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  1. 30
  2. 32
  3. 34
  4. 36
  5. None of the above

Question 19

Three identical apples and five identical oranges cost 45 dollars. Three such apples and seven such oranges cost 57 dollars. Find (a) the cost of one orange and (b) the cost of one apple, in dollars. Enter (a); (b).

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Question 20

Anna starts playing badminton at 9:20 and finishes at 10:30 on the same day. How long does she play? Enter the duration as hours:minutes.