P4 Mathematics SA2 2020 — Catholic High | Singapore Past Year Paper

Q: The value of the digit 6 in 56 013 is ____.

D. 6000. In 56 013, the digit 6 is in the thousands place, so its value is 6 × 1000 = 6000.

Q: Which of the following numbers when rounded to the nearest ten becomes 23 900?

C. 23 904. 23 904 rounds to 23 900 (ones digit 4 < 5, round down). The other options round to 22 840, 22 900 and 23 950 respectively.

Q: 5 7/8 = ▢/8. What is the missing number in the box?

D. 47. Convert mixed number to improper fraction: 5 7/8 = (5 × 8 + 7) / 8 = 47/8. The missing number is 47.

Q: In the number 12.34, the digit ____ is in the tenths place.

C. 3. In 12.34, the first digit after the decimal point is the tenths digit, which is 3.

Q: Which of the following is a factor of both 18 and 48?

A. 6. Factors of 18: 1, 2, 3, 6, 9, 18. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Common factor among the options is 6.

Q: In the figure, how many of the marked angles are right angles?

C. 3. Inspecting each marked angle in the irregular polygon, exactly 3 of the marked corners form 90° (right) angles.

Q: Which of the following numbers is 600 less than 76 891?

B. 76 291. 76 891 − 600 = 76 291.

Q: The difference in value between 2 numbers is 480. One of the numbers is 3 times the other number. Find the sum of the 2 numbers.

D. 960. Let the smaller be x; the larger is 3x. Difference: 3x − x = 2x = 480, so x = 240. Sum = x + 3x = 4x = 4 × 240 = 960.

Q: A jug contains 1200 mℓ of water and a glass contains 710 mℓ of water. How much water will the jug and 2 such glasses contain?

D. 2620 mℓ. 1200 + 2 × 710 = 1200 + 1420 = 2620 mℓ.

Q: At a carnival, every 3rd child gets a candy and every 6th child gets a balloon. Which child is the first to get both a candy and a balloon?

A. 6th. The first child to receive both is the LCM of 3 and 6, which is 6. So the 6th child is the first.

Q1 MCQ 2 marks

The value of the digit 6 in 56 013 is ____.

Q2 MCQ 2 marks

Which of the following numbers when rounded to the nearest ten becomes 23 900?

Q3 MCQ 2 marks

5 7/8 = ▢/8. What is the missing number in the box?

Q4 MCQ 2 marks

In the number 12.34, the digit ____ is in the tenths place.

Q5 MCQ 2 marks

Which of the following is a factor of both 18 and 48?

Q6 MCQ 2 marks 🖼 Visual

In the figure, how many of the marked angles are right angles?

Q7 MCQ 2 marks

Which of the following numbers is 600 less than 76 891?

Q8 MCQ 2 marks

The difference in value between 2 numbers is 480. One of the numbers is 3 times the other number. Find the sum of the 2 numbers.

Q9 MCQ 2 marks

A jug contains 1200 mℓ of water and a glass contains 710 mℓ of water. How much water will the jug and 2 such glasses contain?

Q10 MCQ 2 marks

At a carnival, every 3rd child gets a candy and every 6th child gets a balloon. Which child is the first to get both a candy and a balloon?

Q11 MCQ 2 marks

All the books in a library were packed into boxes of 8. After packing 112 boxes, there were 6 books unpacked. How many books were there at first?

Q12 MCQ 2 marks

Alice bought 3/4 kg of cookies. Benny bought 1/5 kg of cookies more than Alice. How many kilograms of cookies did Benny buy?

Q13 MCQ 2 marks

Cayden had $84. He spent 3/7 of his money on a puzzle. How much money did he have left?

Q14 MCQ 2 marks

Which number is 1.3 less than 4.56?

Q15 MCQ 2 marks

Arrange the following decimals in increasing order. 7.012 , 7.1 , 7.02

Q16 MCQ 2 marks

1 pen cost as much as 4 erasers. Danny paid $8.40 for 1 pen and 3 erasers. Find the cost of 1 eraser.

Q17 MCQ 2 marks 🖼 Visual

In which of the following figures is the dotted line a line of symmetry?

Q18 MCQ 2 marks 🖼 Visual

Which of the following figures is symmetrical?

Q19 MCQ 2 marks 🖼 Visual

In the figure below, square ABGH and square BCDG are identical. The length of rectangle GDEF is thrice its breadth. What is the length of DE?

Q20 MCQ 2 marks 🖼 Visual

Steve was standing at point A. After turning through an angle of 225° in an anti-clockwise direction, he was facing the library. What was he facing at first?

Q21 Open-ended 2 marks

Write twenty-five thousand and thirteen in numerals.

Q22 Open-ended 2 marks

Some factors of 20 are 1, 2, 4 and 20. What are the other two factors of 20?

Q23 Open-ended 2 marks

2/9 + 1/3 = ____

Q24 Open-ended 2 marks

Find the value of 1 − 1/2 − 1/8.

Q25 Open-ended 2 marks

How many sixths are there in 1 whole?

Q26 Open-ended 2 marks

Express 0.93 as a fraction.

Q27 Open-ended 2 marks

Round 19.52 to the nearest whole number.

Q28 Open-ended 2 marks

Find the value of 17.36 × 3.

Q29 Open-ended 2 marks 🖼 Visual

Measure and write down the size of ∠a.

Q30 Open-ended 2 marks

A number has the factors 3 and 7. The number is between 50 and 70. What is the number?

Q31 Open-ended 2 marks

The fifth multiple of a 1-digit number is 14 more than its third multiple. What is the 1-digit number?

Q32 Open-ended 2 marks

Lionel has 5 more stickers than Marco. Nathan has 4 times as many stickers as Marco. Lionel and Nathan has 120 stickers altogether. How many stickers does Marco have?

Q33 Open-ended 2 marks

Melissa's monthly salary is thrice the amount she spent in June. Her monthly salary is $8424. How much did she spend in June?

Q34 Open-ended 2 marks 🖼 Visual

Study the menu carefully. Harry had $50. He bought 1 chicken sandwich and a fruit juice. How much money had he left?

Q35 Open-ended 2 marks 🖼 Visual

Parry used a total of 23.25 m of ribbon to make 6 similar flowers and 9 similar bows. How much ribbon did he use to make 2 such flowers and 3 such bows?

Q36 Open-ended 2 marks

Isaac is 7 years old and his sister is 3 years old. In how many years' time will their total age add up to 18?

Q37 Open-ended 2 marks 🖼 Visual

Leo was standing at point B. He walked 1 step to the north, then 3 steps to the west and finally 1 step to the south. Which point did he end up at?

Q38 Structured 2 marks 🖼 Visual

(a) Point ____ is north-east of B. (b) What is the direction of E from C?

Q39 Open-ended 2 marks 🖼 Visual

The figure below is made up of identical squares. Line AB is the line of symmetry. Shade three more squares so that the figure is symmetrical.

Q40 Structured 2 marks 🖼 Visual

Study the figure below. A square piece of paper was folded as shown below. Each statement below is true, false or not possible to tell from the information given. For each statement, put a tick (✓) in the correct column. (a) ∠x is 45°. (b) ∠y is equal to ∠z.

Q41 Structured 4 marks

A t-shirt, a bag and a cap cost $256. The bag costs $24 more than the cap. The t-shirt costs the same as the total value of the bag and the cap. How much does the cap cost?

Q42 Structured 4 marks

There were some candies in a bag. Joseph took 7/10 of the candies and Kenny took the rest. Joseph took 24 more candies than Kenny. (a) What fraction of the candies did Kenny take? (b) How many candies were there in the bag at first?

Q43 Structured 4 marks

1 watermelon and 4 similar apples weighed 4.05 kg. 1 such watermelon and 1 such apple weighed 3.45 kg. (a) What was the mass of 1 such apple? (b) What was the mass of 1 such watermelon?

Q44 Structured 4 marks 🖼 Visual

The line graph shows the number of people who visited a museum in 6 years. (a) What was the increase in the number of people visiting the museum from 2018 to 2019? (b) Each ticket to the museum cost $8. How much did the museum collect from the sale of the tickets in 2014?

Q45 Structured 4 marks 🖼 Visual

The patterns below are made up of identical shaded and unshaded squares. a) Fill the table for Pattern 4. b) What is the total number of shaded and unshaded squares in Pattern 10?

P4 Mathematics SA2 2020 — Catholic High

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