P4 Mathematics SA1 2021 — Catholic High | Singapore Past Year Paper

Q: In the number 14 320, which digit is in the thousands place?

D. 4. In 14 320, the digit 4 is in the thousands place (1 ten-thousand, 4 thousands, 3 hundreds, 2 tens, 0 ones).

Q: Which of the following numbers is 4000 more than 57 130?

C. 61 130. 57 130 + 4000 = 61 130.

Q: The value of the digit 7 in 17 065 is ____.

B. 7000. In 17 065, the digit 7 is in the thousands place, so its value is 7000.

Q: 8 ten thousands + 4 hundreds + 3 ones = ____. What is the missing number?

C. 80 403. 8 ten thousands = 80 000; 4 hundreds = 400; 3 ones = 3. Total = 80 000 + 400 + 3 = 80 403.

Q: The sum of two numbers is 1600. The difference between the two numbers is 280. Find the smaller number.

B. 660. Smaller number = (1600 − 280) ÷ 2 = 1320 ÷ 2 = 660.

Q: Find the quotient when 4964 is divided by 7.

A. 709. 4964 ÷ 7 = 709 remainder 1, so the quotient is 709.

Q: Which of the following are common factors of 8 and 12?

B. 2 and 4. Factors of 8: 1, 2, 4, 8. Factors of 12: 1, 2, 3, 4, 6, 12. Common factors (excluding 1) include 2 and 4.

Q: 270° is equal to a ____ turn.

C. 3/4. A complete turn is 360°. 270° ÷ 360° = 3/4, so 270° is a 3/4 turn.

Q: Name the marked angle in the following figure.

B. ∠STU. The arc is drawn at vertex T between rays TS and TU, so the marked angle is ∠STU (with vertex T).

Q: In the figure below, STUV is a square. Find ∠a.

A. 27°. In square STUV, the angle at V (∠SVU) is 90°. The diagonal VT bisects ∠SVU into two 45° angles, so ∠SVT = 45°. The angle ∠TVU is split into ∠a and the given 18°, with ∠a + 18° = 45°, so ∠a = 45° − 18° = 27°.

Q1 MCQ 2 marks

In the number 14 320, which digit is in the thousands place?

Q2 MCQ 2 marks

Which of the following numbers is 4000 more than 57 130?

Q3 MCQ 2 marks

The value of the digit 7 in 17 065 is ____.

Q4 MCQ 2 marks

8 ten thousands + 4 hundreds + 3 ones = ____. What is the missing number?

Q5 MCQ 2 marks

Multiply 2083 by 9.

Q6 MCQ 2 marks

The sum of two numbers is 1600. The difference between the two numbers is 280. Find the smaller number.

Q7 MCQ 2 marks

Find the quotient when 4964 is divided by 7.

Q8 MCQ 2 marks

Which of the following are common factors of 8 and 12?

Q9 MCQ 2 marks

270° is equal to a ____ turn.

Q10 MCQ 2 marks 🖼 Visual

Name the marked angle in the following figure.

Q11 MCQ 2 marks 🖼 Visual

In the figure below, STUV is a square. Find ∠a.

Q12 MCQ 2 marks 🖼 Visual

In the square grid below, which of the following figures is symmetrical?

Q13 MCQ 2 marks 🖼 Visual

In the following figure, which of the dotted lines is a line of symmetry?

Q14 MCQ 2 marks

The product of 5 and a number is 4380. What is the number?

Q15 MCQ 2 marks

Every week, Ethan saves $3 and his sister saves $2 more than him. How many weeks will they take to save a total of $1680?

Q16 MCQ 2 marks

There are 2 light bulbs A and B that blink at different timings. Light bulb A and light bulb B blink every 3 minutes and 7 minutes respectively. The light bulbs are switched on at 11 a.m. At what time will both light bulbs blink at the same time?

Q17 MCQ 2 marks

A baker baked some tarts and packed them into boxes of 9 tarts. After packing 2853 boxes, there were 6 tarts left unpacked. How many tarts did the baker bake?

Q18 MCQ 2 marks

There are 186 rows of chairs in the school hall. Each row has 12 chairs. How many chairs are there altogether?

Q19 MCQ 2 marks

I am a multiple of 7. One of my factors is 3. I am between 35 and 50. What number am I?

Q20 MCQ 2 marks 🖼 Visual

The following square grid shows the position of P, Q, R, S and T. Which letter is south-west of P?

Q21 Open-ended 2 marks

Write thirteen thousand and eight in numerals.

Q22 Open-ended 2 marks

What is the greatest 5-digit even number that can be formed using the digits 2, 1, 5, 8 and 9? Each digit can only be used once.

Q23 Open-ended 2 marks

Write the missing number in the number pattern below. 73 645, 72 645, 71 645, ____, 69 645, 68 645

Q24 Open-ended 2 marks

The number of people at a concert is 2800 when rounded to the nearest hundred. What is the largest possible number of people at the concert?

Q25 Open-ended 2 marks

There was an equal number of tokens in Box A and Box B. After 8 tokens were removed from Box B and 8 tokens were added to Box A, there were 190 tokens in Box B. How many tokens were there altogether in the end?

Q26 Open-ended 2 marks

Four of the factors of 45 are 1, 3, 5 and 45. List down two other factors of 45.

Q27 Open-ended 2 marks

Izekiel has 144 marbles and Alex has 86 marbles. How many marbles must Izekiel give Alex so that they will have the same number of marbles?

Q28 Open-ended 2 marks 🖼 Visual

Look at the square grid below and answer the following question. Tom was at one of the points shown in the square grid at first. Then he walked 3 steps to the east, 2 steps to the south and 1 step to the west. He ended up at Point M. What was his starting point?

Q29 Open-ended 2 marks 🖼 Visual

The figure below is made up of a square ABCD and a rectangle DEFG. AG is 23 cm, GF is 3 cm and EF is 15 cm. Find the length of CE.

Q30 Open-ended 2 marks

Joyce has 3080 beads. Rebekah has 3 times as many beads as Joyce. How many beads do Joyce and Rebekah have altogether?

Q31 Open-ended 2 marks 🖼 Visual

Use a protractor to measure ∠y. Write the answer in the answer blank.

Q32 Open-ended 2 marks

4 tables cost as much as 3 sofas. Each sofa cost $2592. How much did each table cost?

Q33 Structured 2 marks 🖼 Visual

Study the figure ABCD drawn in the square grid below. Each of the statements below is either true, false or not possible to tell from the information given. For each statement, put a tick (✓) to indicate your answer. (a) Figure ABCD has exactly one pair of parallel sides. (b) All of its angles in Figure ABCD are right angles.

Q34 Structured 2 marks 🖼 Visual

(a) Draw an angle on the given line such that ∠PQR is 25°. (b) Mark the angle that shows 25°.

Q35 Open-ended 2 marks 🖼 Visual

In the figure below, ABCD is a rectangle. Find ∠x.

Q36 Open-ended 2 marks 🖼 Visual

The figure shows an 8-point compass. Thaddeus was facing the north-west (NW) at first. He then turned 135° anti-clockwise. Which direction does he face now?

Q37 Open-ended 2 marks 🖼 Visual

The figure below shows 4 identical squares and a rectangle ABCD. One side of the square is 5 cm. Find the length of DC.

Q38 Open-ended 2 marks

Mrs Tong paid $1044 for 2 pairs of shoes and 2 dresses. Each pair of shoes cost twice as much as a dress. How much did each dress cost?

Q39 Structured 2 marks 🖼 Visual

In the square grid below, draw a rectangle ABCD from the given lines.

Q40 Structured 2 marks 🖼 Visual

The figure below is made up of identical squares. Line AB is the line of symmetry. Shade two more squares to make the figure symmetric.

Q41 Open-ended 4 marks

Amy, Eileen and Sarah shared 1975 beads. Amy had 86 fewer beads than Eileen and 104 fewer beads than Sarah. How many beads did Amy have?

Q42 Structured 4 marks

Mr Rai has $589 to buy some bottles for his pupils. a) Each bottle costs $6. What is the greatest number of bottles Mr Rai can buy? b) What is the total amount of money he would have to pay?

Q43 Open-ended 4 marks

Mrs Chan bought a bag and 5 similar shirts. The bag cost $272 more than the 5 shirts. She gave the cashier $1200 and received $48 change. How much did each shirt cost?

Q44 Open-ended 4 marks

Martin, Kelvin and Ahmad have 120 candies. Ahmad has 6 more candies than Martin. Kelvin has thrice the total amount of candies that Martin and Ahmad have. How many candies does Martin have?

Q45 Open-ended 4 marks

Joanne had 569 red, white and green cubes altogether. She had 4 times as many green cubes as white cubes. There were 34 fewer red cubes than green cubes. How many green cubes did Joanne have?

P4 Mathematics SA1 2021 — Catholic High

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