P3 Mathematics SA2 2023 — Tao Nan

Q: What is the smallest 4-digit even number that can be formed with the digits 7, 3, 6 and 2?

(2) 2376. To form the smallest 4-digit number, arrange the digits in ascending order from left to right. The smallest digits are 2, 3, 6, 7. The number must be even, so the last digit must be an even number (2 or 6). - If the number ends in 2: 3672 (using 3,6,7 then 2) - If the number ends in 6: 2376 (using 2,3,7 then 6) Comparing 3672 and 2376, the smallest even number is 2376.

Q: How many right angles are there in the figure ?

(2) 8. The figure is a square ABCD with its two diagonals drawn. A square has 4 right angles at its vertices (at A, B, C, D). The diagonals of a square also intersect at right angles, forming another 4 right angles at the intersection point. Thus, there are a total of 4 (from vertices) + 4 (from intersection) = 8 right angles.

Q: Which of the following fractions is smaller than 1/2?

(2) 3/7. To compare fractions with 1/2, we can convert them to have a common denominator or convert them to decimals. - 1/2 = 0.5 - (1) 2/3 ≈ 0.667 (greater than 0.5) - (2) 3/7 ≈ 0.428 (smaller than 0.5) - (3) 3/5 = 0.6 (greater than 0.5) - (4) 2/4 = 1/2 = 0.5 (equal to 0.5) Therefore, 3/7 is the only fraction smaller than 1/2.

Q: Betty has a roll of ribbon which is 5 m long. She uses 1 m 25 cm to wrap a gift box and 85 cm to make a ribbon bow. What is the length of ribbon left ?

(3) 290 cm. First, convert all lengths to the same unit, cm. - Total ribbon: 5 m = 500 cm. - Ribbon used for gift box: 1 m 25 cm = 100 cm + 25 cm = 125 cm. - Ribbon used for bow: 85 cm. - Total ribbon used = 125 cm + 85 cm = 210 cm. - Length of ribbon left = Total ribbon - Total ribbon used = 500 cm - 210 cm = 290 cm.

Q: The figure is made up of a square and a rectangle. The total area is 67 cm². What is the area of the rectangle ?

(3) 18 cm². The figure shows a square on the left with a side length of 7 cm. - Area of the square = side × side = 7 cm × 7 cm = 49 cm². - The total area of the figure (square + rectangle) is 67 cm². - Area of the rectangle = Total area - Area of the square = 67 cm² - 49 cm² = 18 cm².

Q: What is the shortest route to the shopping centre from Susan's house?

(3) 2 km 225 m. There are two main routes from Susan's house to the shopping centre: 1. Susan's house → Library → Shopping centre: - Distance = 1 km 480 m + 845 m - Convert to meters: 1480 m + 845 m = 2325 m = 2 km 325 m. 2. Susan's house → Playground → Shopping centre: - Distance = 850 m + 1 km 375 m - Convert to meters: 850 m + 1375 m = 2225 m = 2 km 225 m. Comparing the two routes, 2 km 225 m is shorter than 2 km 325 m.

Q: Which figures have the same perimeter ?

(1) A and C. Let each unit square side length be 1 unit. - Figure A is a rectangle of 3 units by 4 units. Perimeter = 2 * (3 + 4) = 2 * 7 = 14 units. - Figure B is a rectangle of 2 units by 4 units. Perimeter = 2 * (2 + 4) = 2 * 6 = 12 units. - Figure C is an L-shaped figure within a 3 unit by 4 unit bounding box. For such rectilinear figures, the perimeter is the same as its bounding box if corners are removed. So, Perimeter C = 2 * (3 + 4) = 14 units. Comparing the perimeters: Figure A (14 units) and Figure C (14 units) have the same perimeter.

Q: Which of the following shows 1/3 of the figure shaded ?

(4). Calculate the fraction shaded for each option: - (1) Total 6 squares, 3 shaded. Fraction = 3/6 = 1/2. - (2) Total 6 squares, 2 shaded. Fraction = 2/6 = 1/3. - (3) Total 9 squares, 3 shaded. Fraction = 3/9 = 1/3. - (4) Total 12 squares, 4 shaded. Fraction = 4/12 = 1/3. Options (2), (3), and (4) all represent 1/3 shaded. According to the provided answer key, option (4) is the intended correct answer.

P3 Mathematics 2023 SA2 24 questions 39 marks

Source: Tao Nan, 2023

This P3 Mathematics SA2 paper from Tao Nan (2023) contains 24 questions worth 39 marks. Use it as a study reference for Mathematics topics typically tested at P3 level in Singapore schools.

Q1 MCQ 1 mark

What is the smallest 4-digit even number that can be formed with the digits 7, 3, 6 and 2?

Q2 MCQ 1 mark 🖼 Visual

How many right angles are there in the figure ?

Q3 MCQ 1 mark

Which of the following fractions is smaller than 1/2?

Q4 MCQ 1 mark

Betty has a roll of ribbon which is 5 m long. She uses 1 m 25 cm to wrap a gift box and 85 cm to make a ribbon bow. What is the length of ribbon left ?

Q5 MCQ 1 mark 🖼 Visual

The figure is made up of a square and a rectangle. The total area is 67 cm². What is the area of the rectangle ?

Q6 MCQ 1 mark 🖼 Visual

What is the shortest route to the shopping centre from Susan's house?

Q7 MCQ 1 mark 🖼 Visual

Which figures have the same perimeter ?

Q8 MCQ 1 mark 🖼 Visual

Which of the following shows 1/3 of the figure shaded ?

Q9 Open-ended 1 mark 🖼 Visual

Draw a line parallel to RS, passing through T.

Q10 Open-ended 1 mark 🖼 Visual

Study the diagram. What is the mass of each block of X?

Q11 Open-ended 1 mark

Arrange the fractions below, from the smallest to the biggest fraction. 3/6 1/3 4/9

Q12 Open-ended 1 mark

Some sticks are placed, at an equal distance from each other, in a straight line. The distance between the 1st and the 4th stick is 24 cm. The distance between the 1st and the last stick is 56 cm. How many sticks are there altogether?

Q13 Structured 🖼 Visual

Miss Foo paid $12 for a highlighter, a stapler and a file. The file cost $5.30. The stapler cost more than the highlighter. For each statement, put a tick (√) to indicate your answer. a) The total cost of the highlighter and the stapler was less than the cost of the file. b) The stapler cost more than the file.

Q14 Open-ended 1 mark 🖼 Visual

The bar graph shows the CCAs that a class of 40 students had chosen. Each student signed up for one CCA only. Some students were absent and did not choose their CCA. How many students were absent?

Q15 Open-ended 1 mark 🖼 Visual

The diagram shows 1/4 of the bar shaded. What fraction of the bar must be further shaded, so that 5/8 of the bar is shaded altogether? Express the answer in its simplest form.

Q16 Open-ended 1 mark 🖼 Visual

The four cylinders below contain some water. Clare wants to pour all the water from her cylinder into one of the cylinders (A, B, or C). Which cylinder will hold all her water?

Q17 Structured 3 marks

Alvin has 5070 LEGO bricks. He has 1094 more bricks than Farhan. a) How many bricks does Farhan have? b) How many bricks do the two boys have altogether?

Q18 Structured 3 marks

The Chin family attended a birthday dinner that ended at 19 20, according to the clock in the dining room. However, the clock was 10 minutes slower. The dinner lasted 1 h 30 min. What was the actual time the dinner started?

Q19 Structured 3 marks

Uncle Daniel bought an apple pie and cut it into 12 pieces. He gave 1/4 of the pie to his niece and 4 pieces to his neighbour. What fraction of the pie was left? Express your answer in its simplest form.

Q20 Structured 3 marks

Annie made 3 times as many clay stars as Eileen. Linda made 75 fewer clay stars than Annie. The three girls made a total of 919 clay stars. How many clay stars did Eileen make ?

Q21 Structured 3 marks 🖼 Visual

Jimmy is making a shape pattern as shown below: 1st Pattern continues. a) Draw the 12th shape in the given space below. b) Given that the pattern continues, draw the 58th shape.

Q22 Structured 3 marks

2 badminton rackets and 1 basketball cost $102.50. 1 badminton racket and 2 basketballs cost $107.50. What is the total cost of 1 badminton racket and 1 basketball?

Q23 Structured 3 marks 🖼 Visual

The incomplete graph shows the number of stickers collected by three friends, Derek, Indra and Aileen. After Indra gave some stickers to Aileen, the three children had an equal number of stickers each. How many stickers did Aileen have at first?

Q24 Structured 3 marks 🖼 Visual

Samy arranged three pieces of tiles as shown below. All the tiles were of the same size. What was the area of each tile?

P3 Mathematics SA2 2023 — Tao Nan

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