UIMO Sample Paper Class 7

CLASS - 07 UIMO

UIMO SAMPLE QUESTIONS
CLASS - 07
MATHEMATICS - 1

1
01. is subtracted from a number and the difference is multiplied by 4. If 25 is added to the product and
2
the sum is divided by 3, the result is equal to 10. Find the number.
3 7 6 1
(A) (B) (C) (D)
5 4 7 6
02. A student has to secure 35% marks to pass in a test. He got 80 marks and failed by 60 marks. Find the
maximum marks of the test.
(A) 100 (B) 200 (C) 300 (D) 400
03. What is the largest possible area of a rectangle with integer sides and perimeter 22 units ?
(A) 28 sq. units (B) 30 sq. units
(C) 32 sq. units (D) 24 sq. units
04. Assume p || q in the figure shown. Find the measure of angle ‘N’.

140o
p
N
q
o
158

(A) 18° (B) 22° (C) 62° (D) 48°
05. What value of ‘x’ makes the average of the first three numbers in the list given equal to the average of
the last four ?

15, 5, N, 7, 9, 17

(A) 19 (B) 21 (C) 24 (D) 27

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CLASS - 07 UIMO

MATHEMATICS - 2

01. Which ‘m’ are equal ?
(A) 3m + 7 = –5 (B) 11m – 29 = 15 (C) 8 – 9m = 44 (D) 7m + 32 = 4
02. ABCD is a rectangle and m and n are perpendiculars drawn on to AC from B and D. Find area of the
quadrilateral ABCD.
C

B
m
E n
A
D

⎛1 ⎞ 1
(A) ⎜ AC × m ⎟ + (n + CF) (B) AC(m + n)
⎝2 ⎠ 2

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(C) ar (∆ABC) + ar (∆ACD) (D) (m × n) AC
2
03. Which of the following can be sets of angles of a triangle ?
(A) 75°, 45°, 60° (B) 100°, 40°, 50° (C) 110°, 50°, 20° (D) 30°, 60°, 90°
1
04. If 64a = then 3a + 4b + 1 = _________
256 >
°
⎛ 1 ⎞
(A) (64a)° (B) ⎜ b ⎟ (C) 64a × 256b (D) (64a × 256b)°
⎝ 256 ⎠
⎛ N O⎞
05. Let ⎜⎝ − ⎟⎠ and (8x – %y) are the two terms then
7 &

⎛ x y⎞ 57x 57y ⎛ x y ⎞ 55x 57y
(A) ⎜ − ⎟ + (8x − 7y ) = − (B) (8x − 7y ) − ⎜⎝ − ⎟⎠ = −
⎝ 7 8⎠ 7 8 7 8 7 8

(8x − 7y ) = 56
⎛ N O⎞ &N %O
(C) ⎛⎜ x − y ⎞⎟ (D) ⎜⎝ − ⎟⎠ (&N − %O ) = − NO +
⎝ 7 8⎠ % & % &

REASONING

01. What comes next in the given series ?

(A) GPD (B) AZZ (C) SIR (D) C.C
02. In the English alphabet which letter is exactly midway between the 6th letter from the left and %th
letter from the right ?
(A) K (B) L (C) M (D) J
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CLASS - 07 UIMO

03. If South-East becomes North, North-East becomes West and so on, what will East become ?
(A) North-East (B) South-East (C) North-West (D) South-West
04. Find the missing number.

8 16 7 14
192 48 ? 42

(A) 126 (B) 84 (C) 168 (D) 252
05. If P denotes ÷, Q denotes ×, R denotes + and S denotes –, find the value of 18 Q 12 P 4 R 5 S 6 when
simplified.
(A) 36 (B) 53 (C) 59 (D) 65

CRITICAL THINKING

01. Arrange the words given below in a meaningful sequence.
1. Probation 2. Interview 3. Selection
4. Appointment 5. Advertisement
(A) 5, 3, 2, 4, 1 (B) 5, 4, 2, 3, 1 (C) 5, 2, 3, 4, 1 (D) 5, 4, 2, 1, 3
02. Which option best resembles the representation for Engineer, Doctor and People ?

(A) (B) (C) (D)

03. You are alone in the house and there is quite a danger of thieves around. Just then, you hear a knock
at the door. You would:
(A) open the door to see who is there.
(B) first peep out from the window to conform whether you know the person.
(C) not open the door.
(D) ask the servant to see who is there.
04. Today is Friday. Which day of the week will it be 90 days later, including today ?
(A) Thursday (B) Wednesday (C) Saturday (D) Sunday
05. In the given figure if triangle represents healthy people, rectangle represents old persons and circle
represents men. Then how many men are healthy but not old ?

# ! "

(A) 3 (B) 4 (C) 6 (D) 2

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CLASS - 07 UIMO

KEY & SOLUTION

MATHEMATICS - 1

01. (B) Let the number be x.

⎛ 1⎞
4 ⎜ x − ⎟ + 25
⎝ 2⎠
= 10
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⎛ 1⎞
4 ⎜ N − ⎟ + 25 = 30
⎝ 2⎠

⎛ 1⎞
4 ⎜ N − ⎟ = 30 − 25
⎝ 2⎠
 #
N− =
2 4
5 1 5+2 7
N= + = =
4 2 4 4
02. (D) Let the maximum marks be x.
Given 35% of x = (80 + 60)
35
× ( N ) = 140
100
100
N = 140 × = 400
35
03. (B) Given 2(l + b) = 22 units
l + b = 11 units
Sum is 11 and area is maximum
if l = 6 units and b = 5 units
Area = 30 units2

140o
p
o
140
N
04. (C) 158
o

q
o
158

15 + 5 + N N + 7 + 9 + 17
05. (A) =
3 4
4(20 + x) = 3(x + 33)
80 + 4x = 3x + 99
x = 99 – 80 = 19

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CLASS - 07 UIMO

MATHEMATICS - 2

01. (A,C,D) (A) 3m = – 5 – 7 (B) 11 m = 15 + 29 (C) –9m = 44 – 8 (D) 7m = 4 – 32
3m = – 12 11 m = 44 –9 m = 36 7 m = –28

12 44 36 28
m= − =–4 m= =4 m= = –4 m= − =–4
3 11 −9 7
02. (B,C,D) Area of quadrilateral ABCD = Area of ∆ABC + Area of ∆ACD

1 1
= AC (BE + CF) = AC (m + n)
2 2
03. (A,C,D) (A) 75° + 45° + 60° = 180° ⇒ 75°, 45°, 60° are the angles of a triangle
(B) 100° + 40° + 50° = 190° 180° ⇒ 100°, 40°, 50° are not the angles of a triangle
(C) 110° + 50° + 20° = 180°⇒ 110°, 50°, 20° are the angles of a triangle
(D) 30° + 60° + 90° = 180° ⇒ 30°, 60°, 90° are the angles of a triangle

1 1
( )
a
04. (A,B,D) 6" a = ⇒ "! =
( )
b b
256 ""

1
⇒ 43= =
44>
⇒ 43a = – 4–4b
∴ 3a = – 4b
3a + 4b = 0
∴ 3a + 4b + 1 = 0 + 1 = 1
°
⎛ 1 ⎞
(A) (64 )° = 1
a
(B) ⎜ b⎟
=1 (C) (64a × 256b)° = 1
⎝ 256 ⎠

⎛x y⎞ x y x + 56x ⎛ y + 56y ⎞ 57x 57y
05. (A,C,D) (A) ⎜ − ⎟ + (8x − 7y ) = + 8x − − 7y = −⎜ ⎟= −
⎝7 8⎠ 7 8 7 ⎝ 8 ⎠ 7 8

x y x ⎛y ⎞ 55x 55y
(B) 8x − 7y − + = 8x − + ⎜ − 7y ⎟ = −
7 8 7 ⎝8 ⎠ 7 8

(8x − 7y ) = 8x − 7y (56 ) = 56
( )
(C) (8x − 7y ) (8x − 7y )
56

x 7xy 8xy 7y 8x 7y
(D) ×8 − − + = − xy +
7 7 8 8 7 8

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CLASS - 07 UIMO

REASONING

01. (B) L X B = 12 24 2 24 ÷ 12 = 2
F R C = 6 18 3 18 ÷ 6 = 3
D T E = 4 20 5 20 ÷ 4 = 5
A Z Z = 1 25 25 25 ÷ 1 = 25
02. (C) 6th letter from left is F and 7th letter from right is T

F G H I J K L M N O P Q R S T
Middle
letter

03. (D) Southwest becomes East

S W
N
NW NE

W E

SW SE
E S N

04. (C) 8×1=8 Similarly
8 × 2 = 16 7×1=7
8 × 6 =48 7 × 2 = 14
8 × 24 = 192 7 × 6 = 42
7 × 24 = 168
05. (B) 18 × 12 ÷ 4 + 5 – 6
= 18 × 3 + 5 – 6 = 53

CRITICAL THINKING

01. (C) Advertisement → Interview → Selection → Appointment → Probation.
02. (B) Both engineer and doctor are people. But, both of them are different from each other.
03. (B) First peep out from the window to conform whether you know the person.
04. (B) Sun Mon Tue Wed Thu Fri Sat
Today
R3 R4 R5 R6 R0 R1 R2
90 ÷ 7 = 12 R 6
It will be a Wednesday 90 days later.
05. (D) There are 2 men healthy but not old.

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