P3 Mathematics SA2 2023 — St Joseph | Singapore Past Year Paper

Q: Which one of the following numbers has the digit 7 in the hundreds place?

B. 4719. In 4719, the digit 7 is in the hundreds place (value 700). In 2857 the 7 is in the ones place, in 5073 the 7 is in the tens place, and in 7205 the 7 is in the thousands place.

Q: Find the sum of 35 tens and 78 hundreds.

D. 8150. 35 tens = 350 and 78 hundreds = 7800. Their sum is 350 + 7800 = 8150.

Q: Find the sum of the digits represented by A and B below.

B. 9. Column subtraction 4052 − 261A = 14B6. Ones: 12 − A = 6 → A = 6 (borrow 1). Tens: (5−1) − 1 = 3 → B = 3. Sum A + B = 6 + 3 = 9.

Q: There were 16 boys and 26 girls in a class. Each pupil was given 8 erasers. How many erasers were given out altogether?

D. 336. Total pupils = 16 + 26 = 42. Erasers given = 42 × 8 = 336.

Q: Mrs Wong had 148 pencils. She packed them equally into 6 boxes. How many pencils were left unpacked?

D. 4. 148 ÷ 6 = 24 remainder 4, so 4 pencils are left unpacked.

Q: How many acute angles are there in the figure below?

C. 5. Counting the sharp interior corners of the zigzag/arrow-shaped polygon gives 5 acute angles (angles smaller than 90°).

Q: Janet had 3 twenty-cent coins and 5 fifty-cent coins. She donated some of the coins. How much money could she possibly have donated?

C. $2.70. $2.70 = 5 × 50¢ + 1 × 20¢ = 250¢ + 20¢, which is achievable with the coins she has. $0.80, $1.80 and $3.00 cannot be made from any combination of up to three 20¢ coins and five 50¢ coins.

Q: A bottle contains 1 ℓ 80 ml of water. If the capacity of the bottle is 2 ℓ, how much more water is needed to fill the bottle?

C. 920 ml. 2 ℓ = 2000 ml. Water present = 1080 ml. Water needed = 2000 − 1080 = 920 ml.

Q: Which one of the following fractions is the smallest?

A. 3/10. Converting to decimals: 3/10 = 0.30, 1/2 = 0.50, 2/3 ≈ 0.67, 2/5 = 0.40. The smallest value is 3/10.

Q: A movie started at 18 30. It lasted 115 minutes. What time did the movie end?

D. 20 25. 115 min = 1 h 55 min. 18 30 + 1 h 55 min = 20 25.

Q1 MCQ 2 marks

Which one of the following numbers has the digit 7 in the hundreds place?

Q2 MCQ 2 marks

Find the sum of 35 tens and 78 hundreds.

Q3 MCQ 2 marks 🖼 Visual

Find the sum of the digits represented by A and B below.

Q4 MCQ 2 marks

Find the product of 139 and 7.

Q5 MCQ 2 marks

There were 16 boys and 26 girls in a class. Each pupil was given 8 erasers. How many erasers were given out altogether?

Q6 MCQ 2 marks

Mrs Wong had 148 pencils. She packed them equally into 6 boxes. How many pencils were left unpacked?

Q7 MCQ 2 marks 🖼 Visual

How many acute angles are there in the figure below?

Q8 MCQ 2 marks

Janet had 3 twenty-cent coins and 5 fifty-cent coins. She donated some of the coins. How much money could she possibly have donated?

Q9 MCQ 2 marks

A bottle contains 1 ℓ 80 ml of water. If the capacity of the bottle is 2 ℓ, how much more water is needed to fill the bottle?

Q10 MCQ 2 marks

Which one of the following fractions is the smallest?

Q11 MCQ 2 marks

A movie started at 18 30. It lasted 115 minutes. What time did the movie end?

Q12 MCQ 2 marks 🖼 Visual

The figure below is made up of identical squares. How many more squares must be shaded so that 4/5 of the figure is shaded?

Q13 MCQ 2 marks

James had 3 times as many erasers as Max at first. After James had given 18 erasers to Max, Max had 44 erasers. How many erasers did James have at first?

Q14 MCQ 2 marks 🖼 Visual

The figure below is made up of two identical squares. What is the total area of the figure?

Q15 MCQ 2 marks 🖼 Visual

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 per metre. How much must he pay to fence his garden?

Q16 Open-ended 1 mark 🖼 Visual

Which digit in the two numbers given below has the same value? 2856 6825

Q17 Open-ended 1 mark

Find the difference between 6483 and 259.

Q18 Open-ended 1 mark

1432 more than 7768 is ____.

Q19 Open-ended 1 mark

Arrange the following fractions in order. Begin with the greatest. 1/3 , 5/6 , 5/12

Q20 Open-ended 1 mark

Gary went jogging from 6:20 a.m. to 7:15 a.m. How long did he jog? (Answer in min)

Q21 Open-ended 1 mark 🖼 Visual

Mark the right angles inside the figure given below.

Q22 Open-ended 2 marks

Jamie and Angel had a total of 135 hairclips. If Angel were to give Jamie 16 hairclips, Jamie would have 4 times as many hairclips as Angel. How many hairclips did Angel have?

Q23 Open-ended 2 marks

Mrs Tan is 5 times as old as her son, Bryan, who is 9 years old now. How old will Mrs Tan be in 10 years' time?

Q24 Open-ended 2 marks

Keith had some sweets. He gave 24 of his sweets to his brother and bought another 12 sweets. In the end, Keith had 88 sweets altogether. How many sweets did he have at first?

Q25 Open-ended 2 marks 🖼 Visual

One of the lines in the figure below is parallel to CD. Name the line.

Q26 Open-ended 2 marks 🖼 Visual

Peter and Michael started jogging from the same point but in opposite directions. When they stopped jogging at the same time, Peter had jogged 4 times the distance Michael had jogged. Michael jogged 546 m less than Peter. How far apart were they when they stopped jogging? (Answer in m)

Q27 Open-ended 2 marks 🖼 Visual

A mango cost $5. A basket of 4 mangoes cost $18. Alicia bought 10 mangoes altogether. What was the least amount of money that she paid for the mangoes?

Q28 Open-ended 2 marks

Ethan has 40 more marbles than Dylan. How many marbles must Ethan give to Dylan so that he will have 8 more marbles than Dylan?

Q29 Open-ended 2 marks

Simon had 50 more stickers than Mark. After Simon had given 88 stickers to Mark, he was left with 120 stickers. How many stickers did Mark have at first?

Q30 Open-ended 2 marks 🖼 Visual

The square is cut into 4 equal parts. What is the area of the shaded part? (Answer in cm²)

Q31 Open-ended 2 marks 🖼 Visual

Each cube has a mass of 450 g. What is the mass of each sphere? Express your answer in kg and g.

Q32 Open-ended 2 marks 🖼 Visual

Some pupils were absent and did not get to choose a CCA. How many pupils did not choose a CCA?

Q33 Structured 2 marks 🖼 Visual

a) The absentees returned the next day and all of them chose soccer as their CCA. What is the number of pupils who had chosen soccer in the end? b) Some pupils switched from floorball to badminton. The number of pupils in badminton increased to 30. What would be the number of pupils in floorball in the end?

Q34 Structured 3 marks

A baker baked 286 cupcakes in the morning. He then baked another 365 cupcakes in the afternoon. The baker sold 483 cupcakes that day. (a) How many cupcakes did the baker bake in all? (b) How many cupcakes were left at the end of the day?

Q35 Open-ended 3 marks

A tank, containing 1850 ml of water at first, has a capacity of 4 ℓ. After some water was poured into the tank, another 860 ml of water is needed to fill it up completely. How much water was poured into the tank? Give your answer in litres and millilitres.

Q36 Open-ended 3 marks

Ethan spent 1/3 of his money on food. He spent 1/6 of it on magazines and 1/4 of it on shoes. What fraction of his money was left? Express your answer in its simplest form.

Q37 Structured 3 marks

Michelle worked for 6 days in a week. She worked from 09 00 to 18 00 every day. (a) How many hours did she work every day? (b) How many hours did she work in 4 weeks?

Q38 Structured 4 marks

Shop A sold 487 more marbles than Shop B. Shop C sold 243 more marbles than Shop B. The three shops sold a total of 1000 marbles. (a) How many marbles did Shop A sell? (b) How many more marbles did Shop A sell than Shop C?

Q39 Structured 4 marks

Thaddeus, Ivan and Ryan had a total of 381 coins. Ivan had twice as many coins as Ryan and Thaddeus had 56 more coins than Ivan. (a) How many coins did Thaddeus have? (b) If Ryan's mother gave Ryan another 100 coins, how many coins would Ryan have now?

P3 Mathematics SA2 2023 — St Joseph

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