P4 Mathematics SA1 2021 — Nanyang | Singapore Past Year Paper

Q: In 87 526, the digit 7 is in the ____ place.

C. thousands. In 87 526, reading from the right: 6 = ones, 2 = tens, 5 = hundreds, 7 = thousands, 8 = ten thousands. So the digit 7 is in the thousands place.

Q: Which one of the following is 50 213 in words?

C. Fifty thousand, two hundred and thirteen. 50 213 = 50 000 + 200 + 13 = Fifty thousand, two hundred and thirteen.

Q: Arrange the following numbers from the greatest to the smallest. 31 146, 34 611, 31 641, 36 411

A. 36 411, 34 611, 31 641, 31 146. Comparing: 36 411 > 34 611 > 31 641 > 31 146 (compare ten-thousands then thousands then hundreds).

Q: Which one of the following numbers when rounded to the nearest thousand gives 10 000?

C. 9501. Rounded to the nearest thousand: 8890 → 9000; 9490 → 9000; 9501 → 10 000; 10 519 → 11 000. So 9501 rounds to 10 000.

Q: Which one of the following is a factor of 54?

B. 6. Factors of 54 are 1, 2, 3, 6, 9, 18, 27, 54. Among the options, only 6 is a factor of 54 (54 ÷ 6 = 9).

Q: Which one of the following is an equivalent fraction of 6/7?

B. 18/21. Multiply numerator and denominator of 6/7 by 3: (6×3)/(7×3) = 18/21. So 18/21 is equivalent to 6/7.

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

D. 7/12. 1/2 = 6/12. Compare: 1/4 = 3/12 6/12 = 1/2. So 7/12 is greater than 1/2.

Q: Convert 6 2/3 to an improper fraction.

D. 20/3. 6 2/3 = (6 × 3 + 2)/3 = (18 + 2)/3 = 20/3.

Q: A basket contains 30 coloured balls. 2/5 of them are red. How many red balls are there?

C. 12. Number of red balls = 2/5 × 30 = 60/5 = 12.

Q: Name the marked angle in the figure below.

B. ∠EDC. The marked angle is at vertex D, formed by rays DE and DC, so it is ∠EDC (equivalent to ∠CDE).

Q1 MCQ 2 marks

In 87 526, the digit 7 is in the ____ place.

Q2 MCQ 2 marks

Which one of the following is 50 213 in words?

Q3 MCQ 2 marks

Arrange the following numbers from the greatest to the smallest. 31 146, 34 611, 31 641, 36 411

Q4 MCQ 2 marks

Which one of the following numbers when rounded to the nearest thousand gives 10 000?

Q5 MCQ 2 marks

Which one of the following is a factor of 54?

Q6 MCQ 2 marks

Which one of the following is an equivalent fraction of 6/7?

Q7 MCQ 2 marks

Which one of the following fractions is greater than 1/2?

Q8 MCQ 2 marks

Convert 6 2/3 to an improper fraction.

Q9 MCQ 2 marks

A basket contains 30 coloured balls. 2/5 of them are red. How many red balls are there?

Q10 MCQ 2 marks 🖼 Visual

Name the marked angle in the figure below.

Q11 MCQ 2 marks

The mass of Box A is 1015 g. The mass of Box B is 7 times as heavy as Box A. What is the total mass of both boxes?

Q12 MCQ 2 marks 🖼 Visual

In the square grid below, which two lines are perpendicular to each other?

Q13 MCQ 2 marks 🖼 Visual

Study the figure below. Ailing is facing the park and she makes a 3/4 turn anti-clockwise. What place is she facing now?

Q14 MCQ 2 marks

Use the digits 9, 7, 2, 0, 3 and 5 to form the smallest 5-digit even number. You can only use each digit once.

Q15 MCQ 2 marks

Muthu, Nazri, Owen and Peiling had 4 different pets: a dog, a cat, a bird and a goldfish. Muthu's pet lives in the water. Both Nazri and Peiling do not own a cat. Nazri's pet has only 2 legs. Whose pet is a dog?

Q16 Open-ended 2 marks

Write down all the common factors of 9 and 36.

Q17 Open-ended 2 marks 🖼 Visual

Circle the numbers that are multiples of 4. 16, 18, 1, 22, 20

Q18 Structured 2 marks 🖼 Visual

(a) In the square grid below, draw a line parallel to line XY and passing through point A. (b) What is the size of the marked angle in degrees?

Q19 Open-ended 2 marks 🖼 Visual

Using a protractor and a ruler, draw ∠XYZ = 66°. Mark and label the angle. The line XY has been drawn for you.

Q20 Structured 2 marks 🖼 Visual

Khairul's home, the playground and the library are located as shown in the square grid below. (a) In what direction is the playground from Khairul's home? (b) A new market will be built at a location west of Khairul's home and south-west of the library. Put a cross (X) in the square where the new market will be built.

Q21 Open-ended 2 marks 🖼 Visual

Study the figure below. Xiao Ming is facing the pond and he turns to face the canteen. What angle has Xiao Ming turned through in the clockwise direction?

Q22 Open-ended 2 marks

Complete the number pattern. 7580, 8030, 8480, 8930, ____, 9830

Q23 Open-ended 2 marks

Write down the common multiples of 2 and 3 that are greater than 10 but less than 20.

Q24 Open-ended 2 marks

Jane bought 2439 beads. She bought 1107 beads more than Kaili. How many beads did Jane and Kaili buy altogether?

Q25 Open-ended 2 marks

Siti saved $146 each month. How much did she save in 4 years?

Q26 Open-ended 2 marks

The difference between two numbers is 1152. The greater number is 4 times the smaller number. What is the smaller number?

Q27 Open-ended 2 marks

There are 40 pupils in class 4H. 3/5 of the pupils are boys. How many more boys than girls are there in class 4H?

Q28 Open-ended 2 marks 🖼 Visual

Refer to the number line below. Letter A represents 1 4/5. What mixed number is represented by letter B?

Q29 Open-ended 2 marks 🖼 Visual

The figure below is made up of 4 identical squares. One of the squares is divided equally into 2 triangles. What fraction of the figure is shaded?

Q30 Open-ended 2 marks

There was a bar of chocolate. Xavier ate 1/4 of the bar of chocolate. Jonathan ate 1/3 of the bar of chocolate. What fraction of the bar of chocolate was left?

Q31 Open-ended 2 marks

Amin had three ropes. The lengths of the three ropes were 1/2 m, 4/5 m and 1/4 m. What was the total length of the longest rope and the shortest rope? Give your answer as a mixed number.

Q32 Open-ended 2 marks

Mrs Lim had 1/5 kg of flour at first. She bought another 3/5 kg of flour. She used 1/6 kg of flour to bake a cake. How much flour had she left?

Q33 Open-ended 2 marks

Tom was watching a musical performance in a hall. He was seated in the last row. There were 12 seats on his left and 11 seats on his right. In front of him, there were 105 rows of seats. There was an equal number of seats in each row. How many seats were there altogether in the hall?

Q34 Open-ended 2 marks

Peter drank 2/5 ℓ of coffee on Monday. He drank 1/10 ℓ of coffee less on Tuesday than on Monday. What was the total amount of coffee Peter drank for the two days?

Q35 Open-ended 2 marks

Daven had some money at first. After spending $80 on a pair of running shoes and $20 on a shirt, he had 3/8 of his money left. How much money did he have at first?

Q36 Open-ended 3 marks

Mr Lee had 2158 fruit tarts. He packed them into boxes of 5 fruit tarts each and sold 241 boxes of fruit tarts. How many boxes of 5 fruit tarts are left?

Q37 Open-ended 3 marks

Mr Lum has more than 30 but less than 60 pens. He can pack all the pens into bags of 5 with no left over. He can also pack all the pens into bags of 6 with 2 pens left. How many pens does Mr Lum have?

Q38 Structured 4 marks

The total mass of an apple, a papaya and a mango is 11/12 kg. The total mass of the papaya and the mango is 5/6 kg. The mango is 1/6 kg heavier than the apple. (a) What is the mass of the apple? (b) What is the mass of the mango?

Q39 Structured 4 marks

Lydia had a piece of ribbon. She used 3/10 m of the ribbon to make a hairband and 5/8 m of the ribbon to tie a parcel. (a) What was the difference between the length of ribbon used to make the hairband and the length of ribbon used to tie the parcel? (b) What was the total length of ribbon used by Lydia?

Q40 Structured 4 marks 🖼 Visual

The square grid below shows the sitting positions of some pupils in Class 4A. (a) Who was sitting west of Haitao? (b) Who was sitting south of Bala and north-west of Jamie? (c) Who was sitting north-east of Ethan? (d) Dan passed a parcel to pupil X who was sitting south-east of him. Then pupil X passed the parcel to pupil Y who was sitting east of him. Who was pupil Y?

Q41 Structured 4 marks 🖼 Visual

Mrs Lim had $2000. She bought 3 different items and had some money left. Two of the items she bought cost $1499. (a) Which were the two items she bought with $1499? (b) How much had she left after buying the 3 different items?

Q42 Structured 4 marks 🖼 Visual

The table below shows how numbers are arranged in rows with 5 columns, A, B, C, D and E. (a) Complete the table for Row 8. (b) In which row can number 212 be found?

Q43 Structured 4 marks

Rishi spent 3/4 h to read Book A and Book B. He spent 2 h to read Book B and Book C. He spent 2/5 h more to read Book D than Book C. (a) How much more time did he spend to read Book C than Book A? (b) How much time did he spend to read Book B and Book D?

P4 Mathematics SA1 2021 — Nanyang

Related papers