T EST

SMC 2025 Grade 2 Practice Paper 3

QUESTIONS

S EC TI O NS

1. Section A : MCQs - 15 Questions

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

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

Section 1 : Section A : MCQs - 15 Questions

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

MCQs

1 Calculate the sum below.

9 + 11 + 8 + 12 + 7 + 13 + 6 + 14 + 5 + 14

100

85

92

99

None of the above

Correct: +2 · Incorrect: -1

2 Which one of the following is NOT equal to 8 + 8 + 8?

SMC 2025 Grade 2 Practice Paper 3 · Section A : MCQs · Questions Page 1 of 27

 3+3+3+3+3+3+3+3

32 ÷ 4

30 − 6

8×3

None of the above

Correct: +2 · Incorrect: -1

3 Find the next number in the sequence below.

1, 3, 6, 10, 15, 21,…

26

27

28

29

None of the above

Correct: +2 · Incorrect: -1

4 Find the difference in length between the saw and the screwdriver.

SMC 2025 Grade 2 Practice Paper 3 · Section A : MCQs · Questions Page 2 of 27

 6 cm

8 cm

10 cm

12 cm

None of the above

Correct: +2 · Incorrect: -1

5 The journey from Tom’s house to his school is 45 minutes long. He must report to school at 7.05 a.m. and he
was 15 minutes late. What time did he leave the house?

SMC 2025 Grade 2 Practice Paper 3 · Section A : MCQs · Questions Page 3 of 27

 Correct: +2 · Incorrect: -1

6 Which snowflake below is the same as the snowflake on the right?

SMC 2025 Grade 2 Practice Paper 3 · Section A : MCQs · Questions Page 4 of 27

 Correct: +2 · Incorrect: -1

7 Find the missing shape in the pattern below.

SMC 2025 Grade 2 Practice Paper 3 · Section A : MCQs · Questions Page 5 of 27

 None of the above

Correct: +2 · Incorrect: -1

8 Andy bought a 4-metre rope. He used 250 cm of it and cut the rest into 5 equal pieces. How long is each
piece?

30 cm

40 cm

50 cm

150 cm

None of the above

Correct: +2 · Incorrect: -1

SMC 2025 Grade 2 Practice Paper 3 · Section A : MCQs · Questions Page 6 of 27

9 How many numbers from 1 to 100 are multiples of 4 and 5 at the same time?

20

25

45

None of the above

Correct: +2 · Incorrect: -1

10 Twelve trees are planted at equal distance from each other along a straight path. The distance between 1st
and 5th tree is 30 metres. What is the distance between 3rd and 5th tree?

12

15

SMC 2025 Grade 2 Practice Paper 3 · Section A : MCQs · Questions Page 7 of 27

 18

20

None of the above

Correct: +2 · Incorrect: -1

11 Study the picture below.

How many cups of water are needed to fill up the pail?

SMC 2025 Grade 2 Practice Paper 3 · Section A : MCQs · Questions Page 8 of 27

 None of the above

Correct: +2 · Incorrect: -1

12 Find the mirror image of the picture on the right.

Correct: +2 · Incorrect: -1

SMC 2025 Grade 2 Practice Paper 3 · Section A : MCQs · Questions Page 9 of 27

 January 20, 2019

January 21, 2019

January 25, 2019

January 27, 2019

None of the above

Correct: +2 · Incorrect: -1

14 How many different 2-digit numbers have only odd digits?

50

45

25

20

None of the above

Correct: +2 · Incorrect: -1

15 Jocelyn, Hector, Thomas and Christie are siblings. Hector is not the youngest. Thomas is older than Jocelyn,
and Hector is younger than Christie. Who is the youngest among the siblings?

Hector

Christine

SMC 2025 Grade 2 Practice Paper 3 · Section A : MCQs · Questions Page 10 of 27

 Thomas

Jocelyn

Impossible to know

Correct: +2 · Incorrect: -1

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

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

Integer Type Open Ended Questions

16 Use all the digits 2, 0, 1 and 9 to form a number closest to 1969.

Correct: +4

17 What is the total number of triangles, rectangles and circles in the picture below?

Correct: +4

18 In the number sentence below, what is the value of ∆?

∆ × 4 + 10 = 5 × 4 + 14

Correct: +4

19 It is given that

SMC 2025 Grade 2 Practice Paper 3 · Section B: Integer Type Open Ended Questions ·
Page 11 of 27
Questions
 Correct: +4

20 Tom will be twice his age in 4 years from now. Three years ago, the sum of Tom’s and Jerry’s ages was 10.
In how many years from now will Jerry’s age be doubled?

Correct: +4

21 The picture graph below shows the number of stamps 5 children have at first.

Carol distributes all her stamps equally among Anthony, Brandon, Dennis and Elizabeth.
How many more stamps does Elizabeth have than Anthony now?

Correct: +4

22 A mother baked 235 cookies for her children, Grace, Scott and Cindy. Cindy received 15 more cookies than
Scott. Grace received 8 less cookies than Scott. How many cookies did Grace receive?

Correct: +4

23 Claire had 0 cupcakes while Alice and Bob had some. Alice gave half of her cupcakes to Claire.
Bob gave 17 cupcakes to Claire. Claire has 55 cupcakes now.
How many cupcakes did Alice have in the beginning?

Correct: +4

24 Picture 2 shows the completed version of the puzzle in Picture 1.

SMC 2025 Grade 2 Practice Paper 3 · Section B: Integer Type Open Ended Questions ·
Page 12 of 27
Questions
 Correct: +4

25 In the following, all the different letters stand for different digits. What is the value of the 4-digit number
BDDC?

Correct: +4

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

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

Integer Type Open Ended Questions

SMC 2025 Grade 2 Practice Paper 3 · Section C: Integer Type Open Ended Questions ·
Page 13 of 27
Questions
26

Correct: +6

27

Correct: +6

SMC 2025 Grade 2 Practice Paper 3 · Section C: Integer Type Open Ended Questions ·
Page 14 of 27
Questions
28

Correct: +6

29

Correct: +6

30

Correct: +6

SMC 2025 Grade 2 Practice Paper 3 · Section C: Integer Type Open Ended Questions ·
Page 15 of 27
Questions
31

Correct: +6

SMC 2025 Grade 2 Practice Paper 3 · Section C: Integer Type Open Ended Questions ·
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Questions
 TEST

SMC 2025 Grade 2 Practice Paper 3

ANSWERS

SECTIONS

1. Section A : MCQs - 15 Questions

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

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

Section 1 : Section A : MCQs - 15 Questions

1 99

2 32 ÷ 4

3 28

4 6 cm

SMC 2025 Grade 2 Practice Paper 3 · Section A : MCQs · Answers Page 17 of 27

 7

8 30 cm

9 5

10 15

11 6

12

13 None of the above

14 25

15 Hector

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

16 1920

17 42

18 6

19 26

20 12

SMC 2025 Grade 2 Practice Paper 3 · Section B: Integer Type Open Ended Questions · Answers Page 18 of 27
 21 9

22 68

23 76

24 8

25 1442

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

26 2

27 9

28 150

29 22

30 710

31 110

SMC 2025 Grade 2 Practice Paper 3 · Section C: Integer Type Open Ended Questions · Answers Page 19 of 27
 TEST

SMC 2025 Grade 2 Practice Paper 3

SOLUTIONS

SECTIONS

1. Section A : MCQs - 15 Questions

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

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

Section 1 : Section A : MCQs - 15 Questions

Group the numbers and then add them.

(9 + 11) + (8 + 12) + (7 + 13) + (6 + 14) + 5 + 14 = 20 + 20 + 20 + 20 + 19 =

= 20 × 4 + 19 = 80 + 19 = 𝟗𝟗

A. 3 + 3 + 3 + 3 + 3 + 3 + 3 + 3 = 3 × 8 = 24

B. 32 ÷ 4 = 8

C. 30 − 6 = 24

D. 8 × 3 = 24

Option B is not equal to 8 + 8 + 8 = 24.

The pattern is as follows:

The next number in the sequence is 28.

The screwdriver is 11 − 7 = 4 cm long.

2 saws = 5 screwdrivers = 5 × 4 = 20 cm

SMC 2025 Grade 2 Practice Paper 3 · Section A : MCQs · Solutions Page 20 of 27

The difference in length between saw and screwdriver = 10 cm – 4 cm = 6 cm

Tom reached school at

7.05 a.m. + 15 minutes = 7.20 a.m.

Since the journey from Tom’s house to his school is 45 minutes long, he left the house at

7.20 a.m. − 45 minutes = 6.35 a.m.

The circled parts are different from the original picture at the right.

The pattern is as follows: the inner shape in a figure becomes the outer shape of the next figure.

Andy bought a 4-metre rope or a 400 cm rope. He used 250 cm of it and left with 400 cm – 250 cm = 150
cm. Therefore, each of the 5 equal pieces is 150 ÷ 5 = 𝟑𝟎 cm long.

SMC 2025 Grade 2 Practice Paper 3 · Section C: Integer Type Open Ended Questions ·
Page 21 of 27
Solutions
10

There are 4 intervals between 1st and 5th tree and 2 intervals between 3rd and 5th tree.

4 intervals = 30 metres

2 intervals = 30÷2 = 15 metres.

Hence the distance between 3rd and 5th tree is 15 metres

11

1 bottle = 2 cups

2 gallons = 4 cups + 1 bottle = 4 cups + 2 cups = 6 cups

1 gallon = 6÷2 = 3 cups

1 pail = 1 gallon + 1 cup + 1 bottle = 3 cups + 1 cup + 2 cups = 6 cups.

Hence 6 cups of water are needed to fill up the pail.

SMC 2025 Grade 2 Practice Paper 3 · Section C: Integer Type Open Ended Questions ·
Page 22 of 27
Solutions
12

The shortest pencil in the mirror image must face right and be on top of other pencils. Only options A and
B satisfy this condition. The unsharpened pencil must be just below the shortest pencil. Thus, the answer
is Option B.

13

Jeremy must put $30 – $10 = $20 in total to reach $30 in his piggy bank and he needs $20 ÷ $2 = 10 days
to do that. Next, we draw the table as shown below and count 10 days (only Mondays, Wednesdays and
Saturdays).

14

Do the systematic listing as shown in the table below.

15

Hector is not the youngest. Thomas cannot be the youngest as he is older than Jocelyn. Also, Christie also
can’t be the youngest as

Hector is younger than her. The only person left who must be the youngest is Jocelyn.

SMC 2025 Grade 2 Practice Paper 3 · Section C: Integer Type Open Ended Questions ·
Page 23 of 27
Solutions
Section 2 : Section B: Integer Type Open Ended Questions - 10 Questions

16

Obviously, the desired number must be close to 1900 or 2000. Two such numbers we can form are 2019
and 1920. After comparing the differences

1969 − 1920 = 49

2019 − 1969 = 50,

we find that the closest number we can form is 1920.

17

Let’s divide the picture into 5 parts: house, road, truck, sky and traffic light.

Afterwards, we count the number of the shapes in each part.

The total number of triangles, rectangles and circles in the picture is 15 + 8 + 19 = 42

18

∆ × 4 + 10 = 5 × 4 + 14 = 20 + 14 = 34 or ∆ × 4 + 10 = 34

∆ × 4 = 34 − 10

= 24 or ∆ × 4 = 24

∆= 24 ÷ 4 = 𝟔

19

SMC 2025 Grade 2 Practice Paper 3 · Section C: Integer Type Open Ended Questions ·
Page 24 of 27
Solutions
20

Tom is 4 years old now since he will be twice his age in 4 years from now.

If the sum of Tom’s and Jerry’s ages was 10 three years ago, then the sum of their

ages now is 10 + 3 + 3 = 16. In 4 years from now, the sum of their ages will be

16 + 4 + 4 = 24. It is also given that Tom will be 8 years old in 4 years from now.

Hence Jerry will be 24 − 8 = 16 years old and he is 16 − 4 = 12 years old now.

Jerry’s age will double in 12 years.

21

After Carol distributes the same number of stamps to Elizabeth and Anthony,

the difference in number of stamps between Elizabeth and Anthony does not change.

Elizabeth had 4 × 3 = 12 stamps and Anthony had 1 × 3 = 3 stamps. Elizabeth has

12 − 3 = 𝟗 more stamps than Anthony.

22

Using Model Method, let the number of cookies Grace received be 1 unit:

SMC 2025 Grade 2 Practice Paper 3 · Section C: Integer Type Open Ended Questions ·
Page 25 of 27
Solutions
23

Claire has 55 cupcakes now which she received from Bob (17 cupcakes) and Alice (half of her cupcakes).

The number of cupcakes Claire received from Alice is 55 − 17 = 38. Hence Alice had 38 × 2 = 𝟕𝟔 cupcakes
in the beginning.

24

Let us label the empty boxes with A, B, C, D, E and F. C must be greater than 7 since 10 × C is greater than
82. The ones digit of D be must 2 as the ones digit of B is 0. D is also less than 82. The only value of C that
satisfies all the above conditions is 9. Then A = 1 and F = 1 × 8 = 𝟖.

25

B cannot be greater than 1 as the sum of any two 3-digit number is not greater than

999 + 999 = 1998. Hence B must be 1.

C=B+B=1+1=2

𝐷=𝐶+𝐶=2+2=4

𝐵𝐷𝐷𝐶 = 𝟏𝟒𝟒𝟐

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

SMC 2025 Grade 2 Practice Paper 3 · Section C: Integer Type Open Ended Questions ·
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Solutions
26

27

28

29

30

31

SMC 2025 Grade 2 Practice Paper 3 · Section C: Integer Type Open Ended Questions ·
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Solutions