T EST

SMC 2025 Grade 2 Practice Paper 2

QUESTIONS

S EC TI O NS

1. Section A : MCQs - 15 Questions

2. Section B : Integers Type Open Ended Questions - 10 Questions

3. Section C : Integer Type Open Ended Question - 6 Questions

Section 1 : Section A : MCQs - 15 Questions

1 How many dots are there in the figure below?

40

38

48

36

None of the above

Correct: +2 · Incorrect: -1

2 The shapes below formed a pattern. Observe carefully and find out the two missing shapes.

SMC 2025 Grade 2 Practice Paper 2 · Section A : MCQs · Questions Page 1 of 26

 None of the above

Correct: +2 · Incorrect: -1

3 How many months of the year have exactly 30 days?

12

11

None of the above

Correct: +2

SMC 2025 Grade 2 Practice Paper 2 · Section A : MCQs · Questions Page 2 of 26

4 Which treasure chest below can be opened with the key shown on the right?

Correct: +2 · Incorrect: -1

5 What is the next number in the sequence below? 47,44,38,29,17

SMC 2025 Grade 2 Practice Paper 2 · Section A : MCQs · Questions Page 3 of 26

 3

11

None of the above

Correct: +2 · Incorrect: -1

6 Anastacia bought one blue and one red dress. The blue dress costs $100 more than the red one. If she spent $110 in
total, how much did the red dress cost?

$10

$5

$105

$110

None of the above

Correct: +2 · Incorrect: -1

7 The diagram shows some cubes of the same size stacked at a corner of a room. How many cubes are there altogether?
(Note: The floor is horizontal and the two walls are vertical. There are no gaps or holes behind the visible cubes.)

SMC 2025 Grade 2 Practice Paper 2 · Section A : MCQs · Questions Page 4 of 26

 12

17

18

19

None of the above

Correct: +2 · Incorrect: -1

8 Samuel was 7 years old 5 years ago. His brother David is 2 years older than him. How old will David be 4 years from
now?

13

14

16

17

None of the above

Correct: +2 · Incorrect: -1

SMC 2025 Grade 2 Practice Paper 2 · Section A : MCQs · Questions Page 5 of 26

9 It is given that

11

None of the above

Correct: +2 · Incorrect: -1

10 Daniel had 6 apples fewer than Laura. After each of them sold 5 apples, they have a total of 36 apples.
How many apples does Daniel have now?

20

15

26

21

SMC 2025 Grade 2 Practice Paper 2 · Section A : MCQs · Questions Page 6 of 26

 None of the above

Correct: +2 · Incorrect: -1

11 Study the picture below.

If the volume of the kettle is 1200 ml, what is the volume of the stewpan?

1500 ml

1450 ml

1600 ml

400 ml

None of the above

Correct: +2 · Incorrect: -1

12 Study the pattern below and find ‘?’.

SMC 2025 Grade 2 Practice Paper 2 · Section A : MCQs · Questions Page 7 of 26

 Correct: +2 · Incorrect: -1

SMC 2025 Grade 2 Practice Paper 2 · Section A : MCQs · Questions Page 8 of 26

13 A two-digit number can be divided by both 3 and 5. It is also an even number. How many such numbers are there?

30

43

None of the above

Correct: +2 · Incorrect: -1

14 Aria, Evelyn and Camila sit at a round table. They study in primary 2, 3 and 4. The primary 4 girl is on Camila’s left. The
primary 3 girl is on Aria’s right. Who is the primary 2 girl?

Aria

Evelyn

Camila

Impossible to determine

None of the above

Correct: +2 · Incorrect: -1

15 Which picture below can form the pyramid shown on the right?

SMC 2025 Grade 2 Practice Paper 2 · Section A : MCQs · Questions Page 9 of 26

SMC 2025 Grade 2 Practice Paper 2 · Section A : MCQs · Questions Page 10 of 26
 Correct: +2 · Incorrect: -1

Section 2 : Section B : Integers Type Open Ended Questions - 10 Questions

S EC TI O N I N ST R UC T IO NS

Integers Type Open Ended Questions

16 What is the value of the following sum?

29 + 37 + 76 + 63 + 24 + 45 + 61 + 55

Correct: +4

17 How many triangles are there in the figure below?

Correct: +4

SMC 2025 Grade 2 Practice Paper 2 · Section B : Integers Type Open Ended Questions ·
Page 11 of 26
Questions
18 The picture graph below shows the number of cookies that were sold yesterday in Tasty Bakery. How many cookies did
Tasty Bakery sell yesterday altogether?

Correct: +4

19 Find the number 𝐴 such that the following statement is true:

3 × 13 + 5 × 13 = 𝐴 × 8

Correct: +4

20 Trevor made number 2020 using 22 matchsticks as shown below. What is the smallest whole number he can construct
using exactly 27 matchsticks?

(The figures of all the digits from 0 to 9 are shown below.)

Correct: +4

21 I am a 3-digit even number.

•All my digits are different.

•The digit in my hundreds place is the greatest 1-digit number.

SMC 2025 Grade 2 Practice Paper 2 · Section B : Integers Type Open Ended Questions ·
Page 12 of 26
Questions
 •The digits in my tens and ones place add up to 15.

What number am I?

Correct: +4

22 Tom rolled 3 standard six-sided dice of different colours. Each dice has 6 faces with 1, 2, 3, 4, 5 or 6 dots on each face.
The number of dots on each of the rolled dice is different. How many possible ways could Tom get the sum 12?

Correct: +4

23 There are 8 cows and chickens altogether in a barn. The total number of legs of all the cows and chickens is 26. How
many chickens are there in the barn?

Correct: +4

24 There are 11 green, 5 red and 7 yellow apples in a basket. Isabella wants to take 3 red apples from the basket without
looking. What is the smallest number of apples she needs to take out to make sure that she gets 3 red apples?

Correct: +4

25 In the following, all the different letters stand for different digits.

Find the value of the 4-digit number REEF.

Correct: +4

Section 3 : Section C : Integer Type Open Ended Question - 6 Questions

S EC TI O N I N ST R UC T IO NS

Integer Type Open Ended Question

SMC 2025 Grade 2 Practice Paper 2 · Section C : Integer Type Open Ended Question ·
Page 13 of 26
Questions
26 A book shop sold 113 story books in January, 48 story books in February and 204 story
books in March.

How many story books were sold altogether?

Correct: +6

27 What is 300 more than 18 tens 4 ones?

Correct: +6

28

Correct: +6

SMC 2025 Grade 2 Practice Paper 2 · Section C : Integer Type Open Ended Question ·
Page 14 of 26
Questions
29

Correct: +6

30 Jean has fewer than 30 cups.

She can pack all the cups equally into boxes with 4 cups in each box.

She can also pack all the cups equally into containers with 5 cups in each container.

No cup is left unpacked.

How many cups does Jean have?

Correct: +6

31 Mrs Tan made three skirts using a total of 532 cm of cloth.

She used 120 cm of cloth to make the first skirt.

She used the same amount of cloth to make the second skirt.

How much cloth did she use to make the third skirt?

Give your answer in cm.

Correct: +6

SMC 2025 Grade 2 Practice Paper 2 · Section C : Integer Type Open Ended Question ·
Page 15 of 26
Questions
 TEST

SMC 2025 Grade 2 Practice Paper 2

ANSWERS

SECTIONS

1. Section A : MCQs - 15 Questions

2. Section B : Integers Type Open Ended Questions - 10 Questions

3. Section C : Integer Type Open Ended Question - 6 Questions

Section 1 : Section A : MCQs - 15 Questions

1 38

3 4

5 2

6 $5

7 18

8 None of the above

SMC 2025 Grade 2 Practice Paper 2 · Section A : MCQs · Answers Page 16 of 26

 9 3

10 15

11 1600 ml

12

13 3

14 Evelyn

15

Section 2 : Section B : Integers Type Open Ended Questions - 10 Questions

16 390

17 14

18 140

19 13

20 6888

21 978

22 18

SMC 2025 Grade 2 Practice Paper 2 · Section B : Integers Type Open Ended Questions ·
Page 17 of 26
Answers
 24 21

25 1002

Section 3 : Section C : Integer Type Open Ended Question - 6 Questions

26 365

27 484

28 10

29 9

30 20

31 292

SMC 2025 Grade 2 Practice Paper 2 · Section C : Integer Type Open Ended Question · Answers Page 18 of 26
 TEST

SMC 2025 Grade 2 Practice Paper 2

SOLUTIONS

SECTIONS

1. Section A : MCQs - 15 Questions

2. Section B : Integers Type Open Ended Questions - 10 Questions

3. Section C : Integer Type Open Ended Question - 6 Questions

Section 1 : Section A : MCQs - 15 Questions

There are 6 × 2 = 12 dots on top and bottom of the figure, 2 × 7 = 14 dots in middle of the figure. Thus,
there are altogether 12 + 12 + 14 = 𝟑𝟖 dots in the figure.

February has either exactly 28 days in a non-leap year or exactly 29 days in a leap year. January, March, May, July, August,
October and December have exactly 31 days. April, June, September and November have exactly 30 days. Thus, there are 4
months in a year that have exactly 30 days.

The correct keyhole should contain 3 indents (“bumps”) on one side and one indent on the other side as shown on the right.
The indent on the left side of the keyhole is somewhere in between the largest and the 2nd largest indents on the opposite
side. Only option E matches those indents.

SMC 2025 Grade 2 Practice Paper 2 · Section A : MCQs · Solutions Page 19 of 26

5

The pattern is as follows:

where each subtracted number is 3 more than the previous one. The next number in the sequence is 2.

Let the cost of the red dress be 1 𝑢𝑛𝑖𝑡. Then the cost of the blue dress is

(1 𝑢𝑛𝑖𝑡 + 100). It is given that

1 𝑢𝑛𝑖𝑡 + (1 𝑢𝑛𝑖𝑡 + 100) = 110

2 𝑢𝑛𝑖𝑡𝑠 + 100 = 110

2 𝑢𝑛𝑖𝑡𝑠 = 110 − 100 = 10

1 𝑢𝑛𝑖𝑡 = 10 ÷ 2 = $𝟓

Let us count the cubes on each stack from left to right. There are 2 cubes in the 1st stack. There are 4 cubes in the 2nd stack.
There are 5 cubes in the 3rd stack. There are 7 cubes in the 4th stack. In total, there are 2 + 4 + 5 + 7 = 𝟏𝟖 cubes.

Since Samuel was 7 years old 5 years ago, Samuel is 7 + 5 = 12 years old now.

As Samuel’s brother, David is 2 years older than him, David is 12 + 2 = 14 years old now.

4 years from now, David will be 14 + 4 = 𝟏𝟖 years old.

SMC 2025 Grade 2 Practice Paper 2 · Section C : Integer Type Open Ended Question · Solutions Page 20 of 26
10

As each of them sold the same number of apples, the difference between their number of apples remains the
same before and after selling the apples.

Let the number of apples Daniel has after selling be 1 𝑢𝑛𝑖𝑡. Then Laura has

(1 𝑢𝑛𝑖𝑡 + 6) apples. Then

1 𝑢𝑛𝑖𝑡 + (1 𝑢𝑛𝑖𝑡 + 6) = 36

2 𝑢𝑛𝑖𝑡𝑠 + 6 = 36

2 𝑢𝑛𝑖𝑡𝑠 = 36 − 6 = 30

1 𝑢𝑛𝑖𝑡 = 30 ÷ 2 = 𝟏𝟓

11

Since 3 cups = 1 coffee pot, then from the second equation we get that 4 coffee pots = 1200ml or 1 coffee pot = 300ml.

Hence 1 coffee pot = 3 cups = 300ml or 1 cup = 100ml.

Volume of the stewpan = volume of one kettle + volume of one coffee pot + volume of one cup = 1200ml + 300ml + 100ml =
𝟏𝟔𝟎𝟎𝐦𝐥

12

The same pattern repeats in each row of 3 figures but in different orders as illustrated in the table below:

SMC 2025 Grade 2 Practice Paper 2 · Section C : Integer Type Open Ended Question · Solutions Page 21 of 26
So, the missing figure should be Option C which has a leaf at the left, a stalk bowing rightwards, a star-shaped flower, and a
shaded square pot.

13

If a number is divisible by both 3 and 5, it must also be divisible by 15. Two-digit multiples of 15 are 15, 30, 45, 60, 75, 90.
However, only 30, 60 and 90 are even. Thus, there are only 3 two-digit even numbers that can be divided by both 3 and 5.

14

Aria, Evelyn and Camila sit at a round table. They study in primary 2, 3 and 4. The primary 3 girl is on Aria’s right. Who is the
primary 2 girl? The primary 4 girl is on Camila’s left:

If Aria on top, then Primary 4 girl is on her right:

This is impossible since primary 3 girl must be on her right. Hence, Aria must be Primary 4 student. Camilia must Primary 3 girl
since she is on Aria’s right Thus, Evelyn is Primary 2.

15

Let us describe the characteristics of the two faces of the pyramid

Face 1:

• It has a dot on top of its hat

SMC 2025 Grade 2 Practice Paper 2 · Section C : Integer Type Open Ended Question · Solutions Page 22 of 26
• It has a white dot on the left of its nose.

• Its eyes look to the right.

Face 2:

• It doesn’t have a dot on top of its hat.

• It has a white dot on the left of its nose.

• Its eyes look to the right.

• It has a bow tie.

Only Option E has both faces.

Section 2 : Section B : Integers Type Open Ended Questions - 10 Questions

16

Pair numbers to make tens or hundreds:

29 + 61 = 90

37 + 63 = 100

76 + 24 = 100

45 + 55 = 100

Sum = 100 × 3 + 90 = 390

17

1-part: 5 triangles

2-part: 6 triangles

3-part: 2 triangles

4-part: 1 triangle

SMC 2025 Grade 2 Practice Paper 2 · Section C : Integer Type Open Ended Question · Solutions Page 23 of 26
Total number of triangles = 5 + 6 + 2 + 1 = 𝟏𝟒

18

19

3 × 13 + 5 × 13 = A × 8

(3 + 5) × 13 = A × 8

8 × 13 = A × 8 = 8 × A

A = 𝟏𝟑

20

Observe that the number “8” requires 7 matchsticks to be formed. Since the smallest whole number should have the least
number of digits, we want to pick the number which requires the most number of matchsticks to be formed, and this number is
8.

After forming 3 “8”s, we have 27 − (3 × 7) = 6 matchstcks left. The numbers which require 6 matchsticks to be formed are 0, 6
and 9.

This 4-digit number cannot start with 0, but it can start with 6. Hence, the smallest number is 6888.

21

From the second clue, hundreds digit must be 9.

From the third clue, tens and ones digits must be 8 and 7 for them to add up to 15. They cannot be 9 and 6 as 9 is already in
hundreds place and all the digits are different.

Since the number is even, ones digit must be 8 and tens digit must be 7.

Thus, the number is 978.

22

List down all the possible ways for the sum of 3 numbers lesser than 7 to be equal to 12.

Let the first dice roll out 1 dot, then the only possible ways to get 12 are 1 + 5 + 6 and 1 + 6 + 5, making it 2 possible ways.

Let the first dice roll out 2 dots, then the only possible ways to get 12 are 2 + 4 + 6 and 2 + 6 + 4, making it 2 possible ways.

Let the first dice roll out 3 dots, then the only possible ways to get 12 are 3 + 4 + 5 and 3 + 5 + 4, making it 2 possible ways.

SMC 2025 Grade 2 Practice Paper 2 · Section C : Integer Type Open Ended Question · Solutions Page 24 of 26
Let the first dice roll out 4 dots, then the only possible ways to get 12 are 4 + 2 + 6, 4 + 6 + 2, 4 + 3 + 5 and 4 + 5 + 3, making
it 4 possible ways.

Let the first dice roll out 5 dots, then the only possible ways to get 12 are 5 + 1 + 6, 5 + 6 + 1, 5 + 3 + 4 and 5 + 4 + 3, making
it 4 possible ways.

Let the first dice roll out 6 dots, then the only possible ways to get 12 are 6 + 1 + 5, 6 + 5 + 1, 6 + 2 + 4 and 6 + 4 + 2, making
it 4 possible ways.

Total number of ways = 2 + 2 + 2 + 4 + 4 + 4 = 18

23

Suppose all the animals were chickens. Then there would be 8 × 2 = 16 legs in total. As the actual number of legs is 26, there
is a difference of 26 − 16 = 10 legs. The difference between the number of legs of a cow and a chicken is 4 − 2 = 2. Hence,
there are 10 ÷ 2 = 5 cows and 8 − 5 = 𝟑 chickens in the barn.

24

In this question, we must consider the worst-case scenario. In the worst-case scenario, Isabella gets all the 11 green apples
and 7 yellow apples for her first 18 draws. She would then get the remaining red apples in her next 3 draws. Hence the least
number of apples she needs to take out is 11 + 7 + 3 = 𝟐𝟏.

25

A three-digit number plus a two-digit number can only result in a four-digit number that starts with 1. Hence R must be 1. F
must then be 1 + 1 = 2. Different letters stand for different digits, so C cannot be the same as E. Thus, there should be a carry
over of 1 from the tens place addition and C = 9. Hence, E = 0 and O = 5, Therefore, REEF stands for 1002.

Section 3 : Section C : Integer Type Open Ended Question - 6 Questions

26

27

28

29

SMC 2025 Grade 2 Practice Paper 2 · Section C : Integer Type Open Ended Question · Solutions Page 25 of 26
30

31

SMC 2025 Grade 2 Practice Paper 2 · Section C : Integer Type Open Ended Question · Solutions Page 26 of 26