1
place-value
easy
In 8047, what is the value of the digit 0?
Answer: 1
In 8047, the digits from left to right are 8 (thousands), 0 (hundreds), 4 (tens), 7 (ones). The digit 0 is in the hundreds place, so its value is 0 × 100 = 0.
2
time
easy
How many minutes are there in 3 h 40 min?
Answer: 3
3 h = 3 × 60 = 180 min. 180 + 40 = 220 min.
3
whole-numbers
easy
There are 36 clips in a bag. Jason has 6 such bags. He repacks them into 3 equal boxes. How many clips are there in each box?
Answer: 4
Total clips = 36 × 6 = 216. Clips per box = 216 ÷ 3 = 72.
4
volume
medium
What is the total volume of water in the two beakers shown below?
Answer: 3
The large beaker (scale 0–500 ml, minor ticks of 20 ml) is filled to 360 ml. The small beaker (scale 0–100 ml) is filled to 20 ml. Total = 360 + 20 = 380 ml.
5
time
easy
Mdm Sari left her house at 06:55. She took 1 h 15 min to reach her office. What time did Mdm Sari reach her office?
Answer: 2
06:55 + 1 h 15 min = 08:10.
6
money
easy
Fatin spent 13.60 dollars on a file. She also bought a toy robot which cost 47.90 dollars more than the file. How much did she spend on both items?
Answer: 3
Toy robot = 13.60 + 47.90 = 61.50 dollars. Total spent = 13.60 + 61.50 = 75.10 dollars.
7
fractions
medium
Which one of the following figures is 1/4 shaded?
Answer: 1
Each figure has 12 (or 10) equal cells. 1/4 shaded means exactly a quarter of the cells are shaded. Figure (1) has 3 shaded cells out of 12 = 1/4. Figure (2) has 4/12 = 1/3, Figure (3) has 5/10 = 1/2, and Figure (4) has 2/12 = 1/6 shaded — none of these equal 1/4.
8
data-analysis
easy
The bar graph shows the number of fruits sold at a fruit stall. What is the total number of fruits sold?
Answer: 3
Total = 10 (apples) + 8 (bananas) + 3 (oranges) + 5 (pears) = 26.
9
volume
easy
The volume of 1 bottle of juice is 1 ℓ. The volume of 1 carton of milk is 320 ml. Willy bought 1 bottle of juice and 2 cartons of milk. What was the total volume of the items bought?
Answer: 2
1 ℓ = 1000 ml. 2 cartons of milk = 2 × 320 = 640 ml. Total = 1000 + 640 = 1640 ml.
10
area-perimeter
medium
Both the square and rectangle have the same area. Find the perimeter of the rectangle given that its breadth is 4 cm.
Answer: 3
Area of square = 8 × 8 = 64 cm². The rectangle has the same area, so its length = 64 ÷ 4 = 16 cm. Perimeter of rectangle = 2 × (16 + 4) = 40 cm.
11
place-value
easy
In which of the following does the digit 6 stand for 600?
Answer: 4
In 7603, the digits are 7 (thousands), 6 (hundreds), 0 (tens), 3 (ones), so the 6 stands for 600. In 3706 the 6 is in the ones place (6), in 3760 and 7063 the 6 is in the tens place (60).
12
mass
medium
What is the mass of the bunch of bananas?
Answer: 3
The scale needle points just past the 1 kg mark, at the small tick representing 1 kg 20 g.
13
fractions
easy
What fraction of the shapes in the box are circles?
Answer: 4
There are 10 shapes in total: 6 circles and 4 triangles. Fraction that are circles = 6/10.
14
whole-numbers
medium
There are 3 bags, A, B and C. All the pens in each bag are put into groups of 6. Bag A has 36 pens. It contains the least number of pens. The number of pens in Bag B is between 45 and 50. Bag C has fewer pens than Bag B. How many pens are there in Bag C?
Answer: 2
Since pens are grouped into 6s, each bag's total is a multiple of 6. The only multiple of 6 between 45 and 50 is 48, so Bag B has 48 pens. Bag C has fewer pens than Bag B (48) but Bag A (36) has the least of all three, so Bag C must be more than 36 and less than 48. The only multiple of 6 in that range is 42.
15
patterns
medium
Jimmy is making a shape pattern as shown below: ▲, ○, ▼, ▬, ▲, ○, ▼, ▬, ▲, ○, … Given that the pattern continues, find the 58th shape.
Answer: 2
The pattern repeats every 4 shapes: ▲, ○, ▼, ▬. 58 ÷ 4 = 14 remainder 2, so the 58th shape is the same as the 2nd shape in the pattern, which is ○.
16
algebra
medium
Pravin, Hadi and Larry have 442 stamps altogether. Larry has four times as many stamps as Hadi. Pravin has 34 more stamps than Hadi. How many stamps does Hadi have? [Enter your answer only between 0 and 9999]
Answer: 68
Let Hadi have H stamps. Larry = 4H, Pravin = H + 34. H + 4H + (H + 34) = 442 → 6H + 34 = 442 → 6H = 408 → H = 68.
17
measurement
medium
Xiaoling hangs 10 light bulbs at an equal distance apart on a wire. The distance between the 2nd and the 9th light bulb is 280 cm. What is the length of the wire used for hanging the 10 light bulbs in cm? [Enter your answer only between 0 and 9999]
Answer: 360
There are 9 - 2 = 7 gaps between the 2nd and 9th bulbs, covering 280 cm, so each gap = 280 ÷ 7 = 40 cm. The 10 light bulbs span 9 gaps in total, so the wire length = 9 × 40 = 360 cm.
18
volume
medium
Mrs Teo prepared some fruit punch for a party. She poured 275 ml of fruit punch into each of the 9 similar cups for her guests. At the end of the party, she had 402 ml of fruit punch left. How much fruit punch did she prepare at first in millilitres? [Enter your answer only between 0 and 9999]
Answer: 2877
Fruit punch poured out = 275 × 9 = 2475 ml. Total prepared = 2475 + 402 = 2877 ml.
19
data-analysis
medium
Study the bar graph below and answer the given question. The bar graph shows the number of Primary 3 students who participated during Math Week. There are 107 girls in all sections of Primary 3. Some girls did not participate during Math Week. How many girls in Primary 3 did not participate? [Enter your answer only between 0 and 9999]
Answer: 37
Girls who participated = 19 (3A) + 20 (3B) + 16 (3C) + 15 (3D) = 70. Girls who did not participate = 107 - 70 = 37.
20
fractions
medium
The figure below is made up of 12 identical triangles. How many more triangles must be shaded such that 5/6 of the figure is shaded? [Enter your answer only between 0 and 9999]
Answer: 5
5/6 of the figure = 5/6 × 12 = 10 triangles must be shaded in total. Currently 5 triangles are shaded, so 10 - 5 = 5 more triangles must be shaded.
21
area-perimeter
medium
The figure below is made up of Square A and Rectangles B, C and D. What is the area of the figure? Give your answer in m². [Enter your answer only between 0 and 9999]
Answer: 40
Square A = 2 × 2 = 4 m². Rectangle C = 3 × 2 = 6 m². Rectangle B = 5 × 3 = 15 m². Rectangle D = 3 × 5 = 15 m². Total area = 4 + 6 + 15 + 15 = 40 m².
22
algebra
medium
Mary, Laura and Joyce baked some cookies. Mary baked twice as many cookies as Joyce. Laura baked thrice as many cookies as Mary. Laura baked 405 more cookies than Joyce. How many cookies did Mary bake? [Enter your answer only between 0 and 9999]
Answer: 162
Let Joyce bake J cookies. Mary = 2J, Laura = 3 × 2J = 6J. Laura - Joyce = 405 → 6J - J = 405 → 5J = 405 → J = 81. Mary = 2 × 81 = 162.
23
mass
hard
A sack with 7 identical balls has a total mass of 1500 g. The mass of the sack is 576 g. Later, 3 balls are removed and replaced with 3 larger balls. The total mass of the sack now becomes 1680 g. Find the mass of one larger ball in grams. [Enter your answer only between 0 and 9999]
Answer: 192
Mass of 7 original balls = 1500 - 576 = 924 g, so each original ball = 924 ÷ 7 = 132 g. After replacing 3 balls, mass of all balls = 1680 - 576 = 1104 g. The 4 remaining original balls have mass 4 × 132 = 528 g, so the 3 larger balls have mass 1104 - 528 = 576 g. Each larger ball = 576 ÷ 3 = 192 g.
24
area-perimeter
medium
Mr Tan wants to use the rectangular plot of land as a garden. He wants to build a fence around his garden leaving a 2 m gap for a metal swing gate. The cost of the fencing is 9 dollar per metre. How much must he pay to fence his garden in dollars? [Enter your answer only between 0 and 9999]
Answer: 558
Perimeter of the land = 2 × (24 + 8) = 64 m. Fencing needed = 64 - 2 (gate gap) = 62 m. Cost = 62 × 9 = 558 dollars.
25
whole-numbers
medium
Joey has 76 sweets. She packs all the sweets into bags of 3 sweets or bags of 5 sweets. She has 20 bags of sweets after packing. How many bags of 3 sweets are there? [Enter your answer only between 0 and 9999]
Answer: 12
Let x = number of bags of 3 sweets and y = number of bags of 5 sweets. x + y = 20 and 3x + 5y = 76. Substituting y = 20 - x: 3x + 5(20 - x) = 76 → 3x + 100 - 5x = 76 → -2x = -24 → x = 12.
26
algebra
hard
There are a total of 815 tables in Hall X, Hall Y and Hall Z. There are 7 fewer tables in Hall X than Hall Y. There are 4 times as many tables in Hall Z than Hall Y. How many tables are there in Hall Y? [Enter your answer only between 0 and 9999]
Answer: 137
Let Hall Y have Y tables. Hall X = Y - 7, Hall Z = 4Y. (Y - 7) + Y + 4Y = 815 → 6Y - 7 = 815 → 6Y = 822 → Y = 137.
27
time
hard
The table below shows the programmes at the Science Centre. Winnie attended The Human Body programme at 10 a.m. She rested for 30 minutes and then continued with the Forensic Investigative Science programme. What time did she complete the Forensic Investigative Science programme? (Express the answer in 12-hour format without a colon. Examples: 9:30 → 930; 12:05 → 1205) [Enter your answer only between 0 and 9999]
Answer: 1235
The Human Body ends at 10:00 + 20 min = 10:20 a.m. After a 30-minute rest, Forensic Investigative Science starts at 10:50 a.m. It lasts 1 h 45 min, ending at 10:50 + 1:45 = 12:35 p.m., which is written as 1235.
28
money
hard
A mango costs 5 dollars. A basket of 4 mangoes costs 18 dollars. Alicia bought 10 mangoes altogether. What was the least amount of money (in dollars) that she paid for the mangoes? [Enter your answer only between 0 and 9999]
Answer: 46
To minimise cost, buy as many baskets of 4 as possible: 2 baskets (8 mangoes) cost 2 × 18 = 36 dollars, and the remaining 2 mangoes cost 2 × 5 = 10 dollars. Total = 36 + 10 = 46 dollars. (Buying fewer baskets and more single mangoes always costs more.)
29
patterns
hard
The figures below are formed by sticks. They follow a pattern. Which figure has 66 sticks? [Enter your answer only between 0 and 9999]
Answer: 13
Figure n is a row of n unit squares (using 3n + 1 sticks) each topped with a triangular roof (2 extra sticks each), giving 3n + 1 + 2n = 5n + 1 sticks. Setting 5n + 1 = 66 gives n = 13.
30
money
hard
Lina and Mark had the same amount of money. Lina bought 6 notebooks and had 4.20 dollars left. Mark wanted to buy 9 notebooks but he was short of 6.30 dollars. Find the cost of 1 notebook. Give your answer in cents. [Enter your answer only between 0 and 9999]
Answer: 350
Let each notebook cost c dollars and let M be the money each of them had. From Lina: M = 6c + 4.20. From Mark: M = 9c - 6.30. Setting these equal: 6c + 4.20 = 9c - 6.30 → 10.50 = 3c → c = 3.50 dollars = 350 cents.
31
money
hard
Nurul has 17 notes in her piggy bank. There are only 2 dollars and 5 dollars notes in her piggy bank. The total value of the notes is 49 dollars. How many 5 dollars notes are there in her piggy bank? [Enter your answer only between 0 and 9999]
Answer: 5
Let x = number of $2 notes and y = number of $5 notes. x + y = 17 and 2x + 5y = 49. Substituting x = 17 - y: 2(17 - y) + 5y = 49 → 34 - 2y + 5y = 49 → 3y = 15 → y = 5.