Question 1

What fraction does the following represent?

Accepted Answer

A. 5/6. The first diagram shows a rectangle divided into 6 equal parts, with 5 parts shaded. This represents the fraction 5/6. This matches option (1).

Question 2

Which of the following shows 1/3 of a set shaded?

Accepted Answer

D. (4) A grid of 3x3 circles (total 9 circles). 3 circles are shaded.. All four options show 3 shaded items out of a total of 9 items. The fraction 3/9 simplifies to 1/3. Therefore, all options visually represent 1/3 of a set shaded. Based on the provided answer key, option (4) is the correct choice.

Question 3

Which of the following fractions is not the same as 0.4?

Accepted Answer

C. 3/12. First, convert 0.4 to a fraction: 0.4 = 4/10 = 2/5.
Let's check each option:
A. 10/25 = (10 ÷ 5) / (25 ÷ 5) = 2/5. This is the same as 0.4.
B. 2/5. This is the same as 0.4.
C. 3/12 = (3 ÷ 3) / (12 ÷ 3) = 1/4. As a decimal, 1/4 = 0.25. This is not the same as 0.4.
D. 4/10. This is the same as 0.4.
Therefore, 3/12 is not the same as 0.4.

Question 4

Arrange the following decimals from the largest to the smallest.
7.093, 7.903, 7.309, 7.39.
Largest ____ Smallest

Accepted Answer

C. 7.903, 7.39, 7.309, 7.093. To arrange decimals from largest to smallest, compare their digits from left to right.
All numbers have 7 in the ones place.
Compare the tenths place:
7.093 (0 tenths)
7.903 (9 tenths)
7.309 (3 tenths)
7.39 (3 tenths, which is 7.390)
The largest number is 7.903.
Next, compare 7.309 and 7.39. Both have 3 in the tenths place. Compare the hundredths place:
7.309 (0 hundredths)
7.390 (9 hundredths)
So, 7.39 is larger than 7.309.
The smallest number is 7.093.
The correct order from largest to smallest is: 7.903, 7.39, 7.309, 7.093.

Question 5

Which one of the following is closest to 8?

Accepted Answer

C. 7.95. To find the number closest to 8, calculate the absolute difference between each option and 8:
A. |8 - 7.5| = 0.5
B. |8 - 8.1| = 0.1
C. |8 - 7.95| = 0.05
D. |8 - 8.49| = 0.49
The smallest difference is 0.05, which corresponds to 7.95.

Question 6

John bought the following fruits.
2 kg, 1/4 kg, 2/3 kg.
What was the total mass of the fruits bought?

Accepted Answer

D. 2 11/12 kg. To find the total mass, add the individual masses: 2 kg + 1/4 kg + 2/3 kg.
First, add the fractions: 1/4 + 2/3.
The least common denominator for 4 and 3 is 12.
1/4 = 3/12
2/3 = 8/12
So, 1/4 + 2/3 = 3/12 + 8/12 = 11/12.
The total mass is 2 + 11/12 kg = 2 11/12 kg.

Question 7

A pot was filled with soup. Mrs Tan poured 1/2 of it for her son and 2/7 of it for herself. What fraction of the soup was left in the pot?

Accepted Answer

B. 3/14. First, find the total fraction of soup poured out:
Fraction poured out = 1/2 (for son) + 2/7 (for herself)
To add these fractions, find a common denominator, which is 14.
1/2 = 7/14
2/7 = 4/14
Total fraction poured out = 7/14 + 4/14 = 11/14.
The total soup in the pot can be represented as 1 (or 14/14).
Fraction of soup left = 1 - (Total fraction poured out)
Fraction of soup left = 14/14 - 11/14 = 3/14.

Question 8

I am a number with 2 decimal places.
The digit 6 is in the ones place.
The digit in the tenths place is 2 less than the digit in the ones place.
The digit in the hundredths place is the largest odd number.
Round this number to the nearest tenth.

Accepted Answer

B. 6.5. Let's build the number:
1. It has 2 decimal places.
2. The digit in the ones place is 6: `6.__`
3. The digit in the tenths place is 2 less than the ones digit (6 - 2 = 4): `6.4_`
4. The digit in the hundredths place is the largest odd number. The largest odd digit is 9: `6.49`
The number is 6.49.
To round 6.49 to the nearest tenth, look at the hundredths digit (9). Since 9 is 5 or greater, round up the tenths digit.
6.49 rounded to the nearest tenth is 6.5.

Question 9

Bala is 0.05 m taller than Paul. Zoe is 0.18 m shorter than Bala.
Zoe is 1.68 m tall. How tall is Paul?

Accepted Answer

C. 1.81 m. 1. Zoe's height is 1.68 m.
2. Zoe is 0.18 m shorter than Bala, so Bala is 0.18 m taller than Zoe.
   Bala's height = 1.68 m + 0.18 m = 1.86 m.
3. Bala is 0.05 m taller than Paul, so Paul is 0.05 m shorter than Bala.
   Paul's height = 1.86 m - 0.05 m = 1.81 m.
Paul is 1.81 m tall.

Question 10

Nora paid $164.20 for some pillows and 4 bolsters. The pillows cost $76.80. How much did each bolster cost?

Accepted Answer

B. $21.85. 1. Total cost for pillows and bolsters = $164.20.
2. Cost of pillows = $76.80.
3. Cost of 4 bolsters = Total cost - Cost of pillows = $164.20 - $76.80 = $87.40.
4. Cost of each bolster = Cost of 4 bolsters ÷ 4 = $87.40 ÷ 4 = $21.85.

P4 Mathematics CA2 2023 — Pei Hwa

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