Mathematics Olympiad Model Test Paper - 1

``` Page 1

1. Anuj starts walking towards East. After walking
15 m, he turns towards North. After walking 17 m,
he turns towards West and walks 10 m. He then turns
towards South and walks 5 m. How far and in which
direction is he now from his initial position?
A. 13 m, North-East
B. 15 m, South-West
C. 13 m, North-West
D. 15 m, South-East
2. Which of the following Venn diagrams best represents
the relationship amongst, "India, Australia and Pakistan"?
A.  B.
C.  D.
3. A square transparent sheet with a pattern and a dotted
line on it is given. Find the figure from the options as
to how the pattern would appear when the transparent
sheet is folded along the dotted line.
A.  B.
C.  D.
4. Which of the following figures completes the given
figure matrix ?
?
A.

B.
C.

D.

5. Find the water image of the given combination of
letters and numbers.
A5MI16AN
A.
B.
C.
D.
6. Select the figure from the options which satisfies
the same condition of placement of the dots as in
Fig. (X).
A.  B.
C.  D.
7. Select a figure from the options which will replace
the (?) to complete the given series.
A.  B.
C.  D.
LOGICAL  REASONING
Page 2

1. Anuj starts walking towards East. After walking
15 m, he turns towards North. After walking 17 m,
he turns towards West and walks 10 m. He then turns
towards South and walks 5 m. How far and in which
direction is he now from his initial position?
A. 13 m, North-East
B. 15 m, South-West
C. 13 m, North-West
D. 15 m, South-East
2. Which of the following Venn diagrams best represents
the relationship amongst, "India, Australia and Pakistan"?
A.  B.
C.  D.
3. A square transparent sheet with a pattern and a dotted
line on it is given. Find the figure from the options as
to how the pattern would appear when the transparent
sheet is folded along the dotted line.
A.  B.
C.  D.
4. Which of the following figures completes the given
figure matrix ?
?
A.

B.
C.

D.

5. Find the water image of the given combination of
letters and numbers.
A5MI16AN
A.
B.
C.
D.
6. Select the figure from the options which satisfies
the same condition of placement of the dots as in
Fig. (X).
A.  B.
C.  D.
7. Select a figure from the options which will replace
the (?) to complete the given series.
A.  B.
C.  D.
LOGICAL  REASONING
8. Find the missing number, if a certain rule is followed
either row-wise or column-wise.
A. 4
B. 5
C. 6
D. 8
9. In a certain code language, if DREAM is coded as
@+?*? and LAND is coded as %*\$@, then MEADEN
is coded as _______.
A. \$?@*??
B. ?@*?@\$
C. @?*??\$
D. ??*@?\$
10. Select a figure from the options, which will complete
the pattern in given figure.
A.  B.
C.  D.
11. Find the number of squares formed in the given figure.
A. 15
B. 16
C. 17
D. 18
12. If the English alphabets are written in the reverse
order, then which would be the 5
th
letter to the right
of the 18
th
letter from the left end?
A. G
B. H
C. I
D. D
13. In which of the following figures, Fig. (X) is exactly
embedded as one of its parts?
A.  B.
C.  D.
14. There is a certain relationship between figures (i) and
(ii). Establish a similar relationship between figures
(iii) and (iv) by selecting a suitable figure from the
options that will replace the (?) in figure (iv).

A.

B.

C.

D.

15. Pointing to a photograph of a man, Neha said,
"His mother is the only daughter of my mother."
How is the man in the photograph related to Neha?
A. Brother-in-Law
B. Grandson
C. Nephew
D. Son
Page 3

1. Anuj starts walking towards East. After walking
15 m, he turns towards North. After walking 17 m,
he turns towards West and walks 10 m. He then turns
towards South and walks 5 m. How far and in which
direction is he now from his initial position?
A. 13 m, North-East
B. 15 m, South-West
C. 13 m, North-West
D. 15 m, South-East
2. Which of the following Venn diagrams best represents
the relationship amongst, "India, Australia and Pakistan"?
A.  B.
C.  D.
3. A square transparent sheet with a pattern and a dotted
line on it is given. Find the figure from the options as
to how the pattern would appear when the transparent
sheet is folded along the dotted line.
A.  B.
C.  D.
4. Which of the following figures completes the given
figure matrix ?
?
A.

B.
C.

D.

5. Find the water image of the given combination of
letters and numbers.
A5MI16AN
A.
B.
C.
D.
6. Select the figure from the options which satisfies
the same condition of placement of the dots as in
Fig. (X).
A.  B.
C.  D.
7. Select a figure from the options which will replace
the (?) to complete the given series.
A.  B.
C.  D.
LOGICAL  REASONING
8. Find the missing number, if a certain rule is followed
either row-wise or column-wise.
A. 4
B. 5
C. 6
D. 8
9. In a certain code language, if DREAM is coded as
@+?*? and LAND is coded as %*\$@, then MEADEN
is coded as _______.
A. \$?@*??
B. ?@*?@\$
C. @?*??\$
D. ??*@?\$
10. Select a figure from the options, which will complete
the pattern in given figure.
A.  B.
C.  D.
11. Find the number of squares formed in the given figure.
A. 15
B. 16
C. 17
D. 18
12. If the English alphabets are written in the reverse
order, then which would be the 5
th
letter to the right
of the 18
th
letter from the left end?
A. G
B. H
C. I
D. D
13. In which of the following figures, Fig. (X) is exactly
embedded as one of its parts?
A.  B.
C.  D.
14. There is a certain relationship between figures (i) and
(ii). Establish a similar relationship between figures
(iii) and (iv) by selecting a suitable figure from the
options that will replace the (?) in figure (iv).

A.

B.

C.

D.

15. Pointing to a photograph of a man, Neha said,
"His mother is the only daughter of my mother."
How is the man in the photograph related to Neha?
A. Brother-in-Law
B. Grandson
C. Nephew
D. Son
16. In a triangle, if the sum of the least and the greatest
angle is equal to twice of the third angle, then find
the third angle.
A. 30°
B. 120°
C. 60°
D. 90°
17. In the given figure (not drawn to scale), if AB || CD,
then find the value of x – y.
A. 8°
B. 9°
C. 12°
D. 3°
18. Find the value of x.
6(3x + 2) – 5(6x – 1) = 6 (x – 3) – 5(7x – 6) + 12x
A. 2
B. –1
C. 1
D. 0
19. Aparna saves ` 500 less than Sumit every month.
How long will it take Aparna and Sumit to save ` 6600 and
` 9600 respectively?
A. 7 months
B. 6 months
C. 4 months
D. 8 months
20. If

ab c
89 6
== , then

abc
c
++

is equal to _______ .
A. 7

B.

2
1
2

C.

3
5
6

D.

3
1
6
21. The given bar graph shows the number of toy bikes
sold by Robin in 5 days.
If the cost of 1 toy bike is ` 33.60, then how much
did he earn in 5 days?
A. ` 9408
B. ` 9240
C. ` 8400
D. ` 8408
22.  Sanjay and Manoj  lent ` 30000 each at 6% per annum
for a period of 6 years and 10 years respectively. Find
the difference in interest paid by them.
A. ` 1080
B. ` 3600
C. ` 7200
D. ` 1800
23. The runs scored by a cricket player in 20 matches
are given below.
32, 17, 0, 61, 17, 32, 17, 5, 61, 70, 5, 32, 17, 61, 5,
17, 70, 32, 17, 32
Find the average score of the player.
A. 45
B. 30
C. 35
D. 40
24. If 3
2x–3
× 5
4x–1
= 5
2x+1
× 3
4x–5
, then x =
A. – 1
B. 2
C. 1
D. – 2
MATHEMATICAL REASONING
Page 4

1. Anuj starts walking towards East. After walking
15 m, he turns towards North. After walking 17 m,
he turns towards West and walks 10 m. He then turns
towards South and walks 5 m. How far and in which
direction is he now from his initial position?
A. 13 m, North-East
B. 15 m, South-West
C. 13 m, North-West
D. 15 m, South-East
2. Which of the following Venn diagrams best represents
the relationship amongst, "India, Australia and Pakistan"?
A.  B.
C.  D.
3. A square transparent sheet with a pattern and a dotted
line on it is given. Find the figure from the options as
to how the pattern would appear when the transparent
sheet is folded along the dotted line.
A.  B.
C.  D.
4. Which of the following figures completes the given
figure matrix ?
?
A.

B.
C.

D.

5. Find the water image of the given combination of
letters and numbers.
A5MI16AN
A.
B.
C.
D.
6. Select the figure from the options which satisfies
the same condition of placement of the dots as in
Fig. (X).
A.  B.
C.  D.
7. Select a figure from the options which will replace
the (?) to complete the given series.
A.  B.
C.  D.
LOGICAL  REASONING
8. Find the missing number, if a certain rule is followed
either row-wise or column-wise.
A. 4
B. 5
C. 6
D. 8
9. In a certain code language, if DREAM is coded as
@+?*? and LAND is coded as %*\$@, then MEADEN
is coded as _______.
A. \$?@*??
B. ?@*?@\$
C. @?*??\$
D. ??*@?\$
10. Select a figure from the options, which will complete
the pattern in given figure.
A.  B.
C.  D.
11. Find the number of squares formed in the given figure.
A. 15
B. 16
C. 17
D. 18
12. If the English alphabets are written in the reverse
order, then which would be the 5
th
letter to the right
of the 18
th
letter from the left end?
A. G
B. H
C. I
D. D
13. In which of the following figures, Fig. (X) is exactly
embedded as one of its parts?
A.  B.
C.  D.
14. There is a certain relationship between figures (i) and
(ii). Establish a similar relationship between figures
(iii) and (iv) by selecting a suitable figure from the
options that will replace the (?) in figure (iv).

A.

B.

C.

D.

15. Pointing to a photograph of a man, Neha said,
"His mother is the only daughter of my mother."
How is the man in the photograph related to Neha?
A. Brother-in-Law
B. Grandson
C. Nephew
D. Son
16. In a triangle, if the sum of the least and the greatest
angle is equal to twice of the third angle, then find
the third angle.
A. 30°
B. 120°
C. 60°
D. 90°
17. In the given figure (not drawn to scale), if AB || CD,
then find the value of x – y.
A. 8°
B. 9°
C. 12°
D. 3°
18. Find the value of x.
6(3x + 2) – 5(6x – 1) = 6 (x – 3) – 5(7x – 6) + 12x
A. 2
B. –1
C. 1
D. 0
19. Aparna saves ` 500 less than Sumit every month.
How long will it take Aparna and Sumit to save ` 6600 and
` 9600 respectively?
A. 7 months
B. 6 months
C. 4 months
D. 8 months
20. If

ab c
89 6
== , then

abc
c
++

is equal to _______ .
A. 7

B.

2
1
2

C.

3
5
6

D.

3
1
6
21. The given bar graph shows the number of toy bikes
sold by Robin in 5 days.
If the cost of 1 toy bike is ` 33.60, then how much
did he earn in 5 days?
A. ` 9408
B. ` 9240
C. ` 8400
D. ` 8408
22.  Sanjay and Manoj  lent ` 30000 each at 6% per annum
for a period of 6 years and 10 years respectively. Find
the difference in interest paid by them.
A. ` 1080
B. ` 3600
C. ` 7200
D. ` 1800
23. The runs scored by a cricket player in 20 matches
are given below.
32, 17, 0, 61, 17, 32, 17, 5, 61, 70, 5, 32, 17, 61, 5,
17, 70, 32, 17, 32
Find the average score of the player.
A. 45
B. 30
C. 35
D. 40
24. If 3
2x–3
× 5
4x–1
= 5
2x+1
× 3
4x–5
, then x =
A. – 1
B. 2
C. 1
D. – 2
MATHEMATICAL REASONING
25. Out of 100 beads, there are 43 red beads, 23 blue
beads and the rest are yellow. Find the percentage
A. 33%
B. 34%
C 32%
D. 35%
26. If 20% of x = y, then y% of 20 is same as ______.

A.

x
25
B.  x

C.

x
2
D. None of these
27. In a 3 kg fruit cake, 750 gm of dry fruits was used.
What is the percentage of the weight of dry fruits
used in the cake?
A. 75%
B. 25%
C. 37
1
2
%
D. 30%
28. Simplify :

1
3
3
4
2
5
1
3
1
2
3
3
4
1
4
4
5
+-
?
?
?
?
?
?
-    of of
.

A.
1
63

B.
23
40

C.

23
55

D.
23
63
29. The given figure is divided into equal squares. How
many squares should be shaded to show 40% of the
A. 3
B. 7
C. 14
D. 5
30. Which of the following statement do not hold in the
process of solving the equation 15 + 3x = 3?
A. 3x = 3 – 15
B. 15 – 3 = – 3x

C.

15
3
3
3 +=
x

D.

15
3
3
3
3
3
+=
x
31. Which of the following is the top view of the given
solid?
A.

B.

C.
D.

32. Arrange the following numbers in the ascending order.
1
4
6
7
3
5
5
10
2
7
,, ,,
-- -
A.
-- - 5
10
2
7
3
5
1
4
6
7
,, ,,

B.
-- - 3
5
5
10
2
7
1
4
6
7
,, ,,
C.
1
4
6
7
5
10
2
7
3
5
,, ,,
-- -

D.
-- - 2
7
3
5
5
10
1
4
6
7
,, ,,
33. If lines AB, AC, AD and AE are parallel to a line l,
then _____ .
A. A, B, C, D and E are collinear points.
B. A, B, C, D and E are non-collinear points.
C. Lines AB and AC are parallel and lines AD and
AE are perpendicular.
D. None of these
Page 5

1. Anuj starts walking towards East. After walking
15 m, he turns towards North. After walking 17 m,
he turns towards West and walks 10 m. He then turns
towards South and walks 5 m. How far and in which
direction is he now from his initial position?
A. 13 m, North-East
B. 15 m, South-West
C. 13 m, North-West
D. 15 m, South-East
2. Which of the following Venn diagrams best represents
the relationship amongst, "India, Australia and Pakistan"?
A.  B.
C.  D.
3. A square transparent sheet with a pattern and a dotted
line on it is given. Find the figure from the options as
to how the pattern would appear when the transparent
sheet is folded along the dotted line.
A.  B.
C.  D.
4. Which of the following figures completes the given
figure matrix ?
?
A.

B.
C.

D.

5. Find the water image of the given combination of
letters and numbers.
A5MI16AN
A.
B.
C.
D.
6. Select the figure from the options which satisfies
the same condition of placement of the dots as in
Fig. (X).
A.  B.
C.  D.
7. Select a figure from the options which will replace
the (?) to complete the given series.
A.  B.
C.  D.
LOGICAL  REASONING
8. Find the missing number, if a certain rule is followed
either row-wise or column-wise.
A. 4
B. 5
C. 6
D. 8
9. In a certain code language, if DREAM is coded as
@+?*? and LAND is coded as %*\$@, then MEADEN
is coded as _______.
A. \$?@*??
B. ?@*?@\$
C. @?*??\$
D. ??*@?\$
10. Select a figure from the options, which will complete
the pattern in given figure.
A.  B.
C.  D.
11. Find the number of squares formed in the given figure.
A. 15
B. 16
C. 17
D. 18
12. If the English alphabets are written in the reverse
order, then which would be the 5
th
letter to the right
of the 18
th
letter from the left end?
A. G
B. H
C. I
D. D
13. In which of the following figures, Fig. (X) is exactly
embedded as one of its parts?
A.  B.
C.  D.
14. There is a certain relationship between figures (i) and
(ii). Establish a similar relationship between figures
(iii) and (iv) by selecting a suitable figure from the
options that will replace the (?) in figure (iv).

A.

B.

C.

D.

15. Pointing to a photograph of a man, Neha said,
"His mother is the only daughter of my mother."
How is the man in the photograph related to Neha?
A. Brother-in-Law
B. Grandson
C. Nephew
D. Son
16. In a triangle, if the sum of the least and the greatest
angle is equal to twice of the third angle, then find
the third angle.
A. 30°
B. 120°
C. 60°
D. 90°
17. In the given figure (not drawn to scale), if AB || CD,
then find the value of x – y.
A. 8°
B. 9°
C. 12°
D. 3°
18. Find the value of x.
6(3x + 2) – 5(6x – 1) = 6 (x – 3) – 5(7x – 6) + 12x
A. 2
B. –1
C. 1
D. 0
19. Aparna saves ` 500 less than Sumit every month.
How long will it take Aparna and Sumit to save ` 6600 and
` 9600 respectively?
A. 7 months
B. 6 months
C. 4 months
D. 8 months
20. If

ab c
89 6
== , then

abc
c
++

is equal to _______ .
A. 7

B.

2
1
2

C.

3
5
6

D.

3
1
6
21. The given bar graph shows the number of toy bikes
sold by Robin in 5 days.
If the cost of 1 toy bike is ` 33.60, then how much
did he earn in 5 days?
A. ` 9408
B. ` 9240
C. ` 8400
D. ` 8408
22.  Sanjay and Manoj  lent ` 30000 each at 6% per annum
for a period of 6 years and 10 years respectively. Find
the difference in interest paid by them.
A. ` 1080
B. ` 3600
C. ` 7200
D. ` 1800
23. The runs scored by a cricket player in 20 matches
are given below.
32, 17, 0, 61, 17, 32, 17, 5, 61, 70, 5, 32, 17, 61, 5,
17, 70, 32, 17, 32
Find the average score of the player.
A. 45
B. 30
C. 35
D. 40
24. If 3
2x–3
× 5
4x–1
= 5
2x+1
× 3
4x–5
, then x =
A. – 1
B. 2
C. 1
D. – 2
MATHEMATICAL REASONING
25. Out of 100 beads, there are 43 red beads, 23 blue
beads and the rest are yellow. Find the percentage
A. 33%
B. 34%
C 32%
D. 35%
26. If 20% of x = y, then y% of 20 is same as ______.

A.

x
25
B.  x

C.

x
2
D. None of these
27. In a 3 kg fruit cake, 750 gm of dry fruits was used.
What is the percentage of the weight of dry fruits
used in the cake?
A. 75%
B. 25%
C. 37
1
2
%
D. 30%
28. Simplify :

1
3
3
4
2
5
1
3
1
2
3
3
4
1
4
4
5
+-
?
?
?
?
?
?
-    of of
.

A.
1
63

B.
23
40

C.

23
55

D.
23
63
29. The given figure is divided into equal squares. How
many squares should be shaded to show 40% of the
A. 3
B. 7
C. 14
D. 5
30. Which of the following statement do not hold in the
process of solving the equation 15 + 3x = 3?
A. 3x = 3 – 15
B. 15 – 3 = – 3x

C.

15
3
3
3 +=
x

D.

15
3
3
3
3
3
+=
x
31. Which of the following is the top view of the given
solid?
A.

B.

C.
D.

32. Arrange the following numbers in the ascending order.
1
4
6
7
3
5
5
10
2
7
,, ,,
-- -
A.
-- - 5
10
2
7
3
5
1
4
6
7
,, ,,

B.
-- - 3
5
5
10
2
7
1
4
6
7
,, ,,
C.
1
4
6
7
5
10
2
7
3
5
,, ,,
-- -

D.
-- - 2
7
3
5
5
10
1
4
6
7
,, ,,
33. If lines AB, AC, AD and AE are parallel to a line l,
then _____ .
A. A, B, C, D and E are collinear points.
B. A, B, C, D and E are non-collinear points.
C. Lines AB and AC are parallel and lines AD and
AE are perpendicular.
D. None of these
34. In the given figure (not drawn to scale), if AB = AC,
then find the value of x.
A. 80° B. 70°
C. 60° D. 110°
35. Select the correct option.
Exponent Base Value
A.  3
5
3  87
B.  2
4
5  32
C.  4
2
4  16
D.  5
2
5  125
36. In an examination, Ramesh was asked to find

3
14

of a certain number. By mistake, he found

3
4
of that

number. His answer was 50 more than the correct
A. 93
1
3
B. 93
1
7
C.
95
1
3
D. 95
1
5
37. Anita runs around a circular field of radius 50 metres.
How much distance did she cover in 3 complete
rounds? [Use p = 3.14]
A. 6600 m
B. 942 m
C. 150 m
D. 1043 m
38. If 18 girls consume 5 kg of rice in a day, then how
much quantity of rice will be consumed by 27 girls
in a day?
A. 8 kg
B. 12 kg
C. 5.9 kg
D. 7.5 kg
39. A shopkeeper sells two televisions for ` 1955 each,
gaining 15% on one and losing 15% on other. Find
his gain or loss percent in the whole transaction.
A. Profit, 2
1
4
% B. Profit, 3%
C. Loss,
2
1
4
%
D. Loss, 3%
40. Salaries of Raman and Mayank are in the ratio
2 : 3. If the salary of each is increased by ` 4000,
then new ratio becomes 40 : 57. What is Mayank's
present salary approximately?
A. ` 17,000
B. ` 20,000
C. ` 25,500
D. ` 38,000
41. Mrs Kirti bought 6 oranges at 3 for ` 1.00,
1
2
kg of
potatoes at ` 15.00 per kilogram and a fish weighs
5
7
kg at  ` 7 per kilogram. How much amount would
she receive, if she gave ` 50 to the cashier?
A. ` 35.50
B. ` 37.50
C. ` 33.50
D. ` 39.50
42. Priya invests
1
3
of her capital at 7% p.a.,
1
4
at 8% p.a.
and the remainder at 10% p.a. If her annual income
is ` 561, then find the capital.
A. ` 5400
B. ` 6000
C. ` 6600
D. ` 7200
43. 270 students appeared for an examination, out of
which 252 passed. What is the percentage of pass
students?
A. 80%

B.

83
1
2
%

C.

90
1
3
%

D.

93
1
3
%
EVERYDAY MATHEMATICS
```

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## FAQs on Mathematics Olympiad Model Test Paper - 1 - Mathematics Olympiad Class 7

 1. What is the format of Mathematics Olympiad Model Test Paper - 1?
Ans. The Mathematics Olympiad Model Test Paper - 1 typically consists of multiple-choice questions, short answer questions, and problem-solving questions covering various topics in mathematics.
 2. How can I prepare for the Mathematics Olympiad Model Test Paper - 1 effectively?
Ans. To prepare for the Mathematics Olympiad Model Test Paper - 1, it is recommended to practice solving similar math problems, review key concepts and formulas, and take mock tests to assess your understanding and time management skills.
 3. What are some common topics covered in Mathematics Olympiad Model Test Paper - 1?
Ans. Some common topics covered in Mathematics Olympiad Model Test Paper - 1 include arithmetic, algebra, geometry, number theory, and combinatorics.
 4. How can I improve my problem-solving skills for the Mathematics Olympiad Model Test Paper - 1?
Ans. To improve your problem-solving skills for the Mathematics Olympiad Model Test Paper - 1, it is important to practice solving a variety of math problems, understand different problem-solving strategies, and seek help from teachers or mentors when needed.
 5. Are there any recommended resources for preparing for the Mathematics Olympiad Model Test Paper - 1?
Ans. Some recommended resources for preparing for the Mathematics Olympiad Model Test Paper - 1 include math textbooks, online math courses, practice worksheets, and past Olympiad papers for practice.

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