SASMO 2022 Grade 4

Question 1

1. 1494
2. 1490
3. 1485
4. 1484
5. None of the above

Question 2

The rectangle below is divided into 6 equal squares and shaded as shown. What fraction of the rectangle is shaded?

1. $\frac{7}{12}$
2. $\frac12$
3. $\frac{5}{11}$
4. $\frac{5}{12}$
5. None of the above

Question 3

1. 190
2. 188
3. 186
4. 142
5. None of the above

Question 4

Which one of the following options is a missing piece of the dog's kennel?



Keep each option as one rigid piece; do not remove blocks or reflect it.

1. Piece A in the figure
2. Piece B in the figure
3. Piece C in the figure
4. Piece D in the figure
5. Piece E in the figure

Question 5

In the square below, E and F are the midpoints of AB and AD, respectively. If the side length of the square is 12 cm, find the area (in cm²) of the shaded region.



Use the exact midpoint and square relationships; do not measure the scan.

1. 72 cm²
2. 54 cm²
3. 36 cm²
4. 18 cm²
5. None of the above

Question 6

1. The number is a multiple of 3, 6 and 9.
2. The number is a multiple of 3 and 6 but not of 9.
3. The number is a multiple of 3 and 9 but not of 6.
4. The number is a multiple of 3 but not of 6.
5. None of the above

Question 7

Angela built a pyramid using identical cubes. The pyramid is shown below from different angles. Angela paints the whole pyramid orange. How many cubes have exactly 3 faces painted orange?



Source convention: the centred solid has complete layers of 5 × 5, 3 × 3 and 1 identical cubes, with no hidden gaps. Paint every exposed exterior face, including the underside, without separating the cubes. Faces where cubes touch are not painted.

1. 4
2. 8
3. 16
4. 35
5. None of the above

Question 8

1. 14
2. 15
3. 17
4. 30
5. None of the above

Question 9

An ant is at one vertex of a cube and can only walk along its edges. It cannot walk along any edge more than once. If each edge is 8 cm long, what is the greatest distance (in cm) that the ant can walk before it cannot continue?



Dotted lines are hidden cube edges and may also be used. Vertices may be revisited; edges may not.

1. 72 cm
2. 64 cm
3. 96 cm
4. 9 cm
5. None of the above

Question 10

1. 0
2. 1
3. 2
4. 3
5. None of the above

Question 11

1. 2
2. 5
3. 10
4. 90
5. None of the above

Question 12

The number in an unshaded square is obtained by adding the numbers connected to it from the row above. What number must be in the square with the question mark?



Each lower white square adds the two white squares immediately above-left and above-right; shaded squares are separators.

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

Question 13

1. 12
2. 9
3. 6
4. 1
5. None of the above

Question 14

1. Andy
2. Bob
3. Cindy
4. David
5. Erik

Question 15

1. 20
2. 60
3. 80
4. 100
5. None of the above

Question 16

The graph below shows the number of books Mr Goh sold in a week. All horizontal lines are equally spaced. If he sold 999 books in total during the week, how many more books did he sell on Monday than on Sunday?



The bottom horizontal line is the zero baseline. Monday–Sunday are Thứ Hai, Thứ Ba, Thứ Tư, Thứ Năm, Thứ Sáu, Thứ Bảy, Chủ nhật.

Input: enter a whole number without units; leading zeroes from the paper answer grid may be omitted.

Question 17

It is given that the picture equations below hold. What number does the chicken stand for?



Identical pictures have identical nonnegative whole-number values. Multiplication is performed before addition.

Input: enter a whole number without units; leading zeroes from the paper answer grid may be omitted.

Question 18

How many triangles are there in the figure below?



Count all sizes and orientations. Intended straight lines and junctions are exact despite the thickness of the scan.

Input: enter a whole number without units; leading zeroes from the paper answer grid may be omitted.

Question 19

Question 20