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SEAMO 2027 - Paper A - SET 09 - Self-study

Question 1

SEAMO self-study edition 2027; not an official 2027 paper. Original source years are retained. 25 questions, 90 minutes; Q1–10: 3 points, Q11–20: 4 points, Q21–25: 6 points, total 100. Original response types and all subparts are preserved. Verified is an editorial convention; source defects, necessary assumptions and unresolved mathematical uncertainty are disclosed.

How many dots are there in the 10th pattern?

Use the simple pattern consistent with the displayed examples. A finite set of examples does not uniquely determine every possible rule.

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Question 2

The teacher has a bag of sweets. If she gives each student 7 sweets, 3 sweets remain. If she gives each student 8 sweets, she needs another 5 sweets. How many sweets does the teacher have?
  1. 58
  2. 59
  3. 60
  4. 61
  5. 62

Question 3

97 numbers are arranged in the sequence shown below. What number does M represent?

Read the long unmarked stretches as omitted consecutive cells. The three horizontal rows have equal numbers of cells; the two vertical joins each have two extra cells.

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Question 4

Denise has to take a pill every 45 minutes. She took the first pill at 11:05 AM. At what time did she take the 4th pill?

This is a fictional elapsed-time exercise, not instructions for taking medicine.

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Question 5

A single cut can divide a cake into 2 pieces. Two cuts can divide it into 4 pieces. What is the most pieces of cake you can get with three cuts?

Treat the cake as a flat shape: each cut is straight across its top, with no stacking or moving pieces and no horizontal cut through its thickness.

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  1. 6
  2. 7
  3. 9
  4. 10
  5. 11

Question 6

If the 12th of May fell on a Tuesday, on which day of the week was the 29th of May? You may use the calendar grid.

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Question 7

Given the addition below, what is the value of A? A and B are digits of the two-digit number AB.

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  1. 3
  2. 4
  3. 5
  4. 6
  5. None of the above

Question 8

Freddie the frog was standing on one side of a pond. He had to jump across 17 lily pads to get to the opposite side. For every 4 jumps ahead, he took 1 jump back. If it took 3 seconds to make each jump, how many seconds did he take to get to the other side?

Number the 17 pads between the banks 1–17. One jump crosses one adjacent gap; the far bank is one jump beyond pad 17. Freddie stops as soon as he reaches it.

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Question 9

In the diagram below, which number belongs in the 1st circle?

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  1. 1
  2. 2
  3. 3
  4. 4
  5. 5

Question 10

10 pots of flowers were placed evenly along the school corridor starting at the end of the corridor. The distance between every two neighbouring pots is 2 m. How long is the corridor?

For this practice question, assume the first and last pots are at the two ends of the corridor. The original wording does not explicitly state the last-pot endpoint.

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  1. 4 m
  2. 6 m
  3. 18 m
  4. 19 m
  5. 20 m

Question 11

7 is added to a number m. The result is multiplied by 7. Then 7 is subtracted. Finally the result is divided by 7, giving 7. What is m?

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Question 12

Three children were asked if they knew how to ride a bicycle.

Alan: “Benny can ride a bicycle.”

Benny: “I can ride a bicycle.”

Cindy: “I don’t know how to ride a bicycle.”

If only one child told the truth, and at least one child can ride a bicycle, who can ride a bicycle?
  1. Alan
  2. Benny
  3. Cindy
  4. Alan and Benny
  5. Benny and Cindy

Question 13

Helen is 4 years older than her brother. Her mother is three times as old as Helen. If her mother is 33 years old, how old is Helen’s brother?

Question 14

Mummy gave Mink some money. Mink spent 5.00 dollars on a book. Her father gave her another 10.00 dollars. After paying 2.50 dollars for a drink and 1.70 dollars for some fries, she had 23.80 dollars left. How much did Mummy give Mink at first?

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  1. 21.80 dollars
  2. 22.00 dollars
  3. 22.50 dollars
  4. 22.80 dollars
  5. 23.00 dollars

Question 15

A teacher has a bag of sweets. If she gives each student 10 sweets, 3 sweets will remain. If she wishes to give each student 11 sweets, she will be short of 2 sweets. How many sweets does the teacher have?
  1. 23
  2. 37
  3. 41
  4. 47
  5. 53

Question 16

12 March 2022 fell on a Saturday. On which day of the week was 5 April of that year? You may use the calendar table to assist you.

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  1. Saturday
  2. Sunday
  3. Monday
  4. Tuesday
  5. Wednesday

Question 17

How many ways are there for the postman to deliver the letter to the house by passing through Point A, moving along the streets in the directions shown by the arrows?

Use the arrow directions throughout the street grid: only rightward and upward moves. Point A is the junction two blocks right and two blocks up from the postman.

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  1. 9
  2. 10
  3. 11
  4. 12
  5. 14

Question 18

Richard chooses any number from 1 to 10. He adds 34, then subtracts 29. Afterwards he adds 55. Finally he subtracts the original number. What number will he get?

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Question 19

Three children are asked if they can swim.

Aaron: “I can swim.”

Bertha: “Aaron lied.”

Cindy: “Both Aaron and Bertha lied.”

If only one child tells the truth, which of them can swim?

The printed information may not determine a swimmer. Do not assume that truthfulness is linked to swimming ability. If the information is insufficient, that conclusion is a valid response; this question is manually graded.

Question 20

Find the missing number.

Use the simple pattern consistent with the displayed examples. A finite set of examples does not uniquely determine every possible rule.

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