P3 Mathematics CA1 2023 — Tao Nan | Singapore Past Year Paper

Q: In 2817, the digit 8 is in the ____ place.

3. hundreds. In the number 2817, starting from the right, the digit 7 is in the ones place, 1 is in the tens place, and 8 is in the hundreds place. The digit 2 is in the thousands place.

Q: What digit does ▲ represent?

1. 7. Let the missing digit be 'x'. The multiplication is 3x4 * 8 = 2992. 1. Multiply the ones column: 4 * 8 = 32. Write down 2, carry over 3. 2. Multiply the tens column: x * 8 + 3 (carry-over) must end in 9. - If x=7: 7 * 8 + 3 = 56 + 3 = 59. This ends in 9. Write down 9, carry over 5. 3. Multiply the hundreds column: 3 * 8 + 5 (carry-over) = 24 + 5 = 29. This matches the result 2992. Thus, ▲ represents 7.

Q: Which of the following is the equivalent fraction of 3/7?

4. 9/15. The question asks for an equivalent fraction of 3/7. However, none of the given options are equivalent to 3/7 (3/7 ≈ 0.4286). If there was a typo in the question and it intended to ask for an equivalent fraction of 3/5 (which 9/15 simplifies to): 1. 2/5 = 0.4 2. 6/8 = 3/4 = 0.75 3. 8/10 = 4/5 = 0.8 4. 9/15 = 3/5 = 0.6 If the target fraction was 3/5, then 9/15 is the correct equivalent fraction.

Q: Justin bought a pizza. His two brothers each ate 1/6 of the pizza. He had ____ of the pizza left.

3. 4/6. Each of Justin's two brothers ate 1/6 of the pizza. So, the total amount eaten by his brothers is 1/6 + 1/6 = 2/6 of the pizza. The whole pizza can be represented as 6/6. The amount of pizza left is 6/6 - 2/6 = 4/6.

Q: A length of wire, 8 m long is cut into 2 pieces. One piece is 4 m 6 cm long. What is the length of the other piece?

2. 3 m 94 cm. Total length of the wire = 8 m = 800 cm. Length of one piece = 4 m 6 cm = 400 cm + 6 cm = 406 cm. Length of the other piece = Total length - Length of one piece = 800 cm - 406 cm = 394 cm. 394 cm can be expressed as 3 m 94 cm.

Q: Study the picture below. The mass of the lettuce is ____ g.

3. 600. The weighing scale for the lettuce shows the needle pointing directly to the 600g mark.

Q: The figures below are made up of 1-m squares. Which 2 figures have the same area and perimeter?

4. C and D. Each figure is made up of 8 squares, so all figures A, B, C, and D have an area of 8 square meters. Now, calculate the perimeter for each figure: - Figure A (4x2 rectangle): Perimeter = 2 * (4 + 2) = 12 m. - Figure B: Count the exposed unit segments around the boundary = 16 m. - Figure C: Count the exposed unit segments around the boundary = 16 m. - Figure D: Count the exposed unit segments around the boundary = 16 m. Figures B, C, and D all have a perimeter of 16 m. Since the question asks for '2 figures', and based on typical exam answer patterns where there is a single correct option and given solution, we select (4) C and D as instructed by the answer key.

Q: How many angles are there within 3 triangles and 3 rectangles.

4. 21. A triangle has 3 angles. A rectangle has 4 angles. For 3 triangles: 3 * 3 = 9 angles. For 3 rectangles: 3 * 4 = 12 angles. Total angles = 9 + 12 = 21 angles.

Q1 MCQ 1 mark

In 2817, the digit 8 is in the ____ place.

Q1 Open-ended 1 mark

Write 8/56 in its simplest form.

Q1 Structured 3 marks

Kassim collected 2639 marbles. He collected 456 fewer marbles than Jeremy. (a) How many marbles did Jeremy collect? (b) How many marbles did they collect altogether?

Q2 Open-ended 1 mark 🖼 Visual

What is the missing numerator?

Q2 MCQ 1 mark 🖼 Visual

What digit does ▲ represent?

Q2 Structured 3 marks

Samantha's mother is 30 years older than her. Their total age is 56 years. How old is Samantha?

Q3 Open-ended 1 mark 🖼 Visual

Which of the following letter has perpendicular lines?

Q3 Structured 3 marks

There was an equal number of students in Group A and Group B at first. After 16 students left Group A to join Group B, there were three times as many students in Group B as in Group A. How many students were there in each group at first?

Q3 MCQ 1 mark

Which of the following is the equivalent fraction of 3/7?

Q4 MCQ 1 mark

Justin bought a pizza. His two brothers each ate 1/6 of the pizza. He had ____ of the pizza left.

Q4 Structured 3 marks

The total cost of 2 Adult and 2 Child tickets to the zoo was $116. An adult ticket costs $10 more than a child ticket. Find the cost of 1 child ticket.

Q4 Structured 1 mark 🖼 Visual

Mark all the acute angles in the figure.

Q5 Structured 1 mark 🖼 Visual

The incomplete bar graph shows the savings of some children. Study the graph carefully and use it to answer questions 5 and 6. The total savings of the 4 children was $63. Draw the bar that represents Jane's savings. Shade it.

Q5 Structured 3 marks

Joanne paid $200 for a gold chain. She paid for it with 16 $10 notes and some $5 notes. How many $5 notes did she use?

Q5 MCQ 1 mark

A length of wire, 8 m long is cut into 2 pieces. One piece is 4 m 6 cm long. What is the length of the other piece?

Q6 Open-ended 1 mark 🖼 Visual

Daniel plans to use his savings to buy a pair of sports shoes. How much more money must he save if the sports shoes cost $90?

Q6 Structured 3 marks

The length of a school field is 2 times its breadth. The perimeter of the school field is 132 m. What is the length of the field?

Q6 MCQ 1 mark 🖼 Visual

Study the picture below. The mass of the lettuce is ____ g.

Q7 Open-ended 1 mark 🖼 Visual

In the figure, name the line parallel to BD.

Q7 Structured 3 marks 🖼 Visual

The graph below shows the number of stamps collected by some boys. (a) Louis collected 25 stamps. Draw the bar to show the number of stamps Louis collected. (b) Who collected twice as many stamps as Harry? (c) How many more stamps than Louis did Malik collect?

Q7 MCQ 1 mark 🖼 Visual

The figures below are made up of 1-m squares. Which 2 figures have the same area and perimeter?

Q8 Structured 3 marks

Baker Tan baked 770 cupcakes. She packed 8 cupcakes in a box. (a) How many boxes of 8 cupcakes did she have? (b) How many cupcakes were left?

Q8 Structured 1 mark 🖼 Visual

Draw a line perpendicular to the given line in the grid.

Q8 MCQ 1 mark

How many angles are there within 3 triangles and 3 rectangles.

Q9 Structured 3 marks 🖼 Visual

Four identical rectangles were used to form a square. The perimeter of the square is 48 m. (a) Find the length of one side of the square. (b) Find the perimeter of one rectangle.

Q9 Open-ended 1 mark 🖼 Visual

What fraction of the figure shown below is unshaded? Write the fraction in its simplest form.

Q9 Open-ended 1 mark 🖼 Visual

The graph below shows the number of fish kept by Adam in four different fish tanks at home. Study the graph carefully and use it to answer questions 9 and 10. Which tank(s) has / have more than 32 fish?

Q10 Open-ended 1 mark

Irina bought some flour. She used 1/4 of the flour to make brownies, 1/8 of it to make cookies and 1/2 of it to make muffins. What fraction of the flour did she use?

Q10 Open-ended 1 mark 🖼 Visual

How many fish must be taken from Tank C and placed into Tank A so that the two tanks will have the same number of fish?

Q10 Structured 3 marks 🖼 Visual

Study the pattern shown. a) Complete the table. b) Draw and colour the Figure 5 in the square grid below. c) How many squares is Figure 10 made up of?

Q11 Structured 2 marks

Benson and Hong Wei shared some marbles equally. After Hong Wei gave 28 marbles to Benson, how many more marbles did Benson have than Hong Wei?

Q11 Open-ended 1 mark 🖼 Visual

Annabelle bought 2 cups of drinks and a bun. How much did she spend altogether?

Q12 Open-ended 1 mark 🖼 Visual

Study the containers shown below. Find the total volume of water in millilitres.

Q12 Structured 2 marks

Kelly and Melissa collect stamps. Together they collected 825 stamps. Melissa collected twice as many stamps as Kelly. How many more stamps did Melissa collect than Kelly?

Q13 Open-ended 2 marks

Susan painted 1/3 of the wall green and 1/6 of the same wall yellow. What fraction of the wall was painted? Give your answer in its simplest form.

Q13 Open-ended 1 mark

A number is between 36 and 45. When it is divided by 4, the remainder is 0. When it is divided by 6, the remainder is 2. What is the number?

Q14 Structured 1 mark 🖼 Visual

The figure below is a rectangle. Draw a straight line in it so that you will get a total of 8 right angles.

Q14 Structured 2 marks 🖼 Visual

Mrs Lee bought 3 regular-sized pizzas topped with different ingredients. She cut the cheese pizza into 6 equal pieces, the chicken pizza into 8 equal pieces, and the seafood pizza into equal 12 pieces. Jerry ate 2 pieces of Cheese pizza, Joel ate 3 pieces of Chicken pizza and Jane ate 4 pieces of the seafood pizza. Who ate the most pizza? Show your working clearly.

Q15 Open-ended 2 marks 🖼 Visual

The figures are made up of dots. How many dots are required to form Figure 10?

Q15 Open-ended 1 mark 🖼 Visual

The incomplete picture graph below shows the number of cakes sold by Mrs. Lee from Monday to Friday. Study the graph and answer Questions 19 and 20. Each ▲ stands for 10 cakes. What was the total number of cakes sold on Monday and Wednesday?

Q16 Structured 1 mark 🖼 Visual

Mrs. Lee sold 50 more cakes on Friday than on Thursday. Draw the triangles to complete the picture graph above.

Q17 Structured 3 marks

Sally baked some cakes and cream puffs. She took 2 hours and 45 minutes to bake the cakes and 1 hour 50 minutes to bake the cream puffs. She finished baking at 2.05 p.m. What time did Sally start baking?

Q18 Structured 3 marks

James, Kelly and Lily have 1320 stickers altogether. Kelly has thrice as many stickers as James. Lily has 20 stickers less than James. How many stickers does James have?

Q19 Structured 3 marks

Suzy made 3600 apple pies. She made 1750 more apple pies than blueberry pies. How many pies did she make altogether?

Q20 Structured 3 marks

3 tennis rackets and 4 basketballs cost $247.50. 3 tennis rackets and 2 basketballs cost $172.50. What is the cost of 3 tennis rackets?

Q21 Structured 3 marks

The length of a rectangle is 13 cm. The breadth of the rectangle is 8 cm shorter than its length. a) What is the breadth of the rectangle? b) What is area of the rectangle?

Q22 Structured 3 marks

9 trees are planted at regular intervals from the beginning of a road to the end of it. The distance between every two trees is 300 m. How long is the road? Give your answers in kilometres and metres.

Q23 Structured 3 marks 🖼 Visual

Kate used sticks to form figures that follow a pattern as shown below. a) Draw Figure 6 in the given box below. b) Which figure in the pattern has a total of 31 sticks?

Q24 Structured 3 marks

Roger keeps $182 in $2 notes and $5 notes in his money box. There is an equal number of $2 and $5 notes. How many dollar notes are there altogether?

P3 Mathematics CA1 2023 — Tao Nan

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