SASMO 2027 · Grades 2-3 · SET 006 · Self-study

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.

Compute 30 + 40 + 50 + 30 + 40 + 50 + 30 + 40 + 50.

The two white triangles each have perimeter 47 cm. The shaded figure is a square. What distance, in cm, does an ant travel along A-B-C-D-E-F-A?

Billy, Fred and Jenny meet for dinner. Their jobs are dentist, teacher and accountant, one each. Fred is older than the accountant. Billy is a different age from the teacher. The teacher is younger than Jenny. What is each person’s job? Enter the codes for Billy; Fred; Jenny: D = dentist, T = teacher, A = accountant.

How many whole numbers from 62 to 423 inclusive are divisible by 15?

Find the perimeter, in cm, of a square whose side is 7 cm.

How many triangles can be formed by connecting any three of the points in the diagram? Three points on one straight line do not form a triangle.

Find the correct shadow of the panda. Compare the outline without rotating or reflecting it.

Find the next number in 8, 10, 6, 12, 4, 14, 2, … . One source asks for a number; another gives A. 0, B. 10, C. 16, D. 18, E. None of the above. Enter the number; option letter.

Use the intended pattern of two alternating arithmetic sequences. The source keys disagree; the solution explains the discrepancy.

The triangular number sequence is 1, 3, 6, 10, 15, 21, … . It comes from dots forming triangles as shown. How many dots are in the twentieth triangle?

(a) Donald, Ann, Dan and Bob raced. Ann was neither fastest nor slowest. Bob was faster than Donald. Dan was slower than Ann. Who was fastest?

(b) In the SASMO 2016 source variant, Dora, Lucas, Richard and Jonathan raced. Lucas was neither fastest nor slowest. Jonathan was faster than Dora. Richard was slower than Lucas. Who was fastest?

Enter the names for (a); (b), separated by a semicolon.

Answer all three parts: (a) How many one-digit numbers are there? (b) How many two-digit numbers are there? (c) How many numbers are there from 37 to 311? Count nonnegative whole numbers, including 0 as a one-digit number, and include both endpoints in (c). Enter (a); (b); (c).

Ruby replaces A by 101, B by 11, and C by 0. A string made only of A, B and C becomes 110101101110101. How many letters were in the original string?

How many different rectangles, including squares, are in the diagram? Count rectangles of every size whose complete sides are drawn.

The source answer key is inconsistent with the instruction to count all rectangles. Follow the printed diagram and include the outer frame and both large halves.

Bob wants to buy two balls of different colors. The shop offers orange, yellow, white, red and green. How many different pairs of colors can he choose?

In a family, each boy has three sisters and each girl has three brothers. How many children are there? A source variant is open-response; another offers A. 3, B. 6, C. 7, D. 8, E. None of the above. Enter the number of children; option letter.

Thirty marbles are shared equally among seven children, giving each child as many whole marbles as possible. How many marbles are left over?

How many different triangles are there in the diagram? Count all sizes and both upright and inverted triangles.

Study the three figures and choose the fourth figure that continues the pattern.

The animals form a repeating pattern. Find the two missing animals, in order from left to right.

Compute 1 + 2 + 3 + 4 + ⋯ + 19 + 20.