SEAMO 2027 - Paper A - SET 02 - Self-study

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.

The distance between two train stations, A and B, is 840 km. A train travels from A at 52 km/h. Another train leaves B at the same time. What is the speed, in km/h, of the second train if they meet 8 hours later?

Interpret the trains as moving towards each other at constant speeds along the route shown.

What is the result of the following operation? The three input grids and the original choices A–E are shown below.

For this visual operation, overlay the grids without rotating them; a square is green if at least one input colours it green.

How many ways are there to spell “SUGAR” along the lines in the diagram?

What do we get if all three figures are stacked on top of each other? The original choices are shown in the figure.

What is the mass, in grams, of a bunch of grapes?

Original options: A. 70; B. 140; C. 210; D. 400; E. 420.

The source picture does not clearly establish the mass ratio between the two banana groups. Do not assume a numerical ratio from their apparent sizes. The original options are retained above, but there is insufficient information to justify a unique choice; explain what can and cannot be concluded. This item requires manual review.

Adeline has 18 dollars. Ben has twice as much money as Adeline. Charles has half as much as Adeline. How much money do they have altogether?

Which figure is the odd one out?

Mohammed wrote the integers from 1 to 24 on the whiteboard. The source displays “1 2 3 4 5 6 … 2 2 2 3 3 2 4”. How many times did he write the digit 2 altogether?

The printed digit string contains an apparent extra 3 near its end. Use the explicit instruction to write every integer from 1 to 24 once; the diagram below shows those integers.

Find the value of \(1-2+3-4+5-6+\cdots-20+21\).

A hound runs 60 metres in 4 seconds. A rabbit runs 20 metres in 2 seconds and is 30 metres ahead of the hound. How many seconds does the hound take to catch the rabbit?

Assume both animals continue in the same direction at constant speeds from the stated starting positions.

An archer shoots five arrows at the target without missing. The points for each ring are shown. How many points did the archer score in total?

No arrow landing positions are supplied, so the actual total cannot be determined. Keep the original choices and select the only listed total that could occur.

Find the 50th digit in \(3, 5, 8, 0, 3, 5, 8, 0, 3, 5,\ldots\).

My grandmother is 56 years old, my mum is 31, and I am 7. In how many years will the sum of our ages be 100?

Sally is younger than Tristan but older than Umar. Vivian is younger than Winnie but older than Sally. Who is the youngest of these five people?

Find the missing numbers: \(1, 2, 4, 7, 11,(\quad),(\quad), 29, 37,\ldots\).

Find the missing mass in the picture.

Eight years ago, I was twice as old as my brother. My brother is now 14. How old am I now?

The source answer key conflicts with the printed age data. Answer using the stated eight-year interval and current brother’s age of 14.

Find A and B in the number pattern below. A is the left blank and B is the right blank in the last row. Give your answer as “A, B”.

Susan adds eight of the nine numbers shown and gets 400. Which number did she leave out?

What time comes next? Read the clocks from left to right across the top row, then across the bottom row.