1. Answer all the questions: (1x10=10)
a) The difference of the ages of Sheela and Anshu is 21 years and ratio of their ages is 9:2. Find their ages.
b) A cube of side 10 cm was cut into cubical blocks each of side 2.5 cm. The number of cubes obtained is :
i) 16 ii) 128 iii) 64 iv) 32
c) Fast food : Burger : : Net Café : ?
i) Cup ii) Computer iii) Thermometer iv) Pizza
d) Select the diagram which represents the best relationship between the given items.
Fruits , Cereals , Vegetables
i) ii) iii) iv)
e) Some cars are standing in a row. Mohit’s car is 3rd from left and Sunaina’s car is 2nd from right.
Between their cars are 8 more cars. How many cars are there in the row?
i) 16 ii) 14 iii) 13 iv) 12
f) Select the odd one:
Bake Peel Fry Boil Roast
g) Fill in the blanks
9A8, 8B7, ____, 6D5, 5E4, ____
h) Complete the series
B99, D88, F77, H66, ____, _____
i) If Sheep : Lamb then Butterfly : ___
I) Pup ii) Moth iii) Caterpillar iv) Cub
j) Find out the pair which shows the similar relationship shown by the given pair: 2468 : 1234
i) 2244 : 4488 ii) 4488 : 2240 iii) 8640 : 4320 iv) 2664 : 1223
2. Attempt all the questions. (2x15=30)
a) The cost of 5 1/4 kg apples is ` 336. What is the rate of apples per kg?
b) Simplify: 4.27 x 0.036
c) The sum of two integers is -10 and one of them is 2. Find the other integer?
d) Convert 31.08 to fractions in its simplest form.
e) Write two rational numbers equivalent to 5 / -11.
f) What should be subtracted from -3/4 to get -5/8
g) Write 30456 in the expanded exponential form.
h) Find the value of n if ( -2 )n
= -128
i) Write all the subsets of { 3 , 5 }
j) Write the coefficient of x in -7xy2
z
3
.
k) Two complementary angles are in the ratio 2:3 , find these angles.
l) If the length of two sides of a triangle are 6cm and 8cm then what can be the length of the third side.m) Subtract: -3/4 from -11/12
n) Write the standard form of 751.65.
o) Find the cardinal number n(A) for A = { x:x is an odd prime number less than 20 }
Section -B
3. Attempt all the questions: (2x4=8)
a) The sides of a triangle are 5a-3b , 3a+2b and 5b-2a, find its perimeter.
b) How many degrees are there in an angle which is one-fifth of its complement?
c) Find the value of: 5
-1
- 6
-1
d) Write a pair of integers whose difference is -5.
4. Attempt all the questions: (3x3=9)
a) In a competition, the question paper consists of 20 questions. 5 marks are awarded for every correct
answer and 2 marks are deducted for every incorrect answer and 0 marks for every questions not
attempted. Vishal attempted 17 questions and got 11 correct answers. What is his score?
b) Find the perimeter of the rectangle whose length is 40cm and length of one diagonal is 41cm.
c) If V is the set of vowels in the word COMPETITION, write the given set in
i) description form ii) set builder form iii) roster form
5. Attempt any two: (4x2=8)
a i) If 2/3 of a number is 10, then what is 1.75 times of that number. (2)
ii)Arrange in ascending order : (2)
-5/6 , -17/18 , 23/-24 , -11/-13
b. i) What is the excess of 20.4 over 9.7403? (2)
ii)Find the value of x. (2)
c. i) How much is 3p - 4q +r less than 4p + 3q - 5r? (2)
ii)Evaluate : ( -36 ) ÷ ( (- 14) +2) (2)
6. Attempt any three: (5x3=15)
a. i)Simplify: (3)
(-4 )x7 – [ 13 – { 49 +40 ÷ (11 – 17-4)}]
ii)The product of two rational number is 18/35. If one of them is -2/5, find the other. (2)
b. i) A 15m long ladder reaches a window 12m high from the ground on placing it against a wall. How far
is the foot of the ladder from the wall? (3)
ii) When a=3, b=0, c=-2, find the value of : ab+2bc+3ca+4abc (2)
c. i) The area of a rectangular plot is 340m2 and its breadth is 17m. Find the cost of surrounding the plot
with a fence at Rs. 5.70 per metre. (3)
ii) In a triangle ABC , A = 40o
, B= 55o
. Find C. (2)
d. i) From the sum of 4 + 3x and 5 – 4x + 2x2
, subtract the sum of 3x2
– 5x and –x
2
+ 2x + 5. (3)
ii) How many ice cream cones can be filled from 8.4 litres of ice cream, if one cone can be filled
with 35 millilitres of ice cream? (2)
Answers
Answer:
1. Answer all the questions: (1x10=10)
a) The difference of the ages of Sheela and Anshu is 21 years and ratio of their ages is 9:2. Find their ages.
b) A cube of side 10 cm was cut into cubical blocks each of side 2.5 cm. The number of cubes obtained is :
i) 16 ii) 128 iii) 64 iv) 32
c) Fast food : Burger : : Net Café : ?
i) Cup ii) Computer iii) Thermometer iv) Pizza
d) Select the diagram which represents the best relationship between the given items.
Fruits , Cereals , Vegetables
i) ii) iii) iv)
e) Some cars are standing in a row. Mohit’s car is 3rd from left and Sunaina’s car is 2nd from right.
Between their cars are 8 more cars. How many cars are there in the row?
i) 16 ii) 14 iii) 13 iv) 12
f) Select the odd one:
Bake Peel Fry Boil Roast
g) Fill in the blanks
9A8, 8B7, ____, 6D5, 5E4, ____
h) Complete the series
B99, D88, F77, H66, ____, _____
i) If Sheep : Lamb then Butterfly : ___
I) Pup ii) Moth iii) Caterpillar iv) Cub
j) Find out the pair which shows the similar relationship shown by the given pair: 2468 : 1234
i) 2244 : 4488 ii) 4488 : 2240 iii) 8640 : 4320 iv) 2664 : 1223
2. Attempt all the questions. (2x15=30)
a) The cost of 5 1/4 kg apples is ` 336. What is the rate of apples per kg?
b) Simplify: 4.27 x 0.036
c) The sum of two integers is -10 and one of them is 2. Find the other integer?
d) Convert 31.08 to fractions in its simplest form.
e) Write two rational numbers equivalent to 5 / -11.
f) What should be subtracted from -3/4 to get -5/8
g) Write 30456 in the expanded exponential form.
h) Find the value of n if ( -2 )n
= -128
i) Write all the subsets of { 3 , 5 }
j) Write the coefficient of x in -7xy2
z
3
.
k) Two complementary angles are in the ratio 2:3 , find these angles.
l) If the length of two sides of a triangle are 6cm and 8cm then what can be the length of the third side.m) Subtract: -3/4 from -11/12
n) Write the standard form of 751.65.
o) Find the cardinal number n(A) for A = { x:x is an odd prime number less than 20 }
Section -B
3. Attempt all the questions: (2x4=8)
a) The sides of a triangle are 5a-3b , 3a+2b and 5b-2a, find its perimeter.
b) How many degrees are there in an angle which is one-fifth of its complement?
c) Find the value of: 5
-1
- 6
-1
d) Write a pair of integers whose difference is -5.
4. Attempt all the questions: (3x3=9)
a) In a competition, the question paper consists of 20 questions. 5 marks are awarded for every correct
answer and 2 marks are deducted for every incorrect answer and 0 marks for every questions not
attempted. Vishal attempted 17 questions and got 11 correct answers. What is his score?
b) Find the perimeter of the rectangle whose length is 40cm and length of one diagonal is 41cm.
c) If V is the set of vowels in the word COMPETITION, write the given set in
i) description form ii) set builder form iii) roster form
5. Attempt any two: (4x2=8)
a i) If 2/3 of a number is 10, then what is 1.75 times of that number. (2)
ii)Arrange in ascending order : (2)
-5/6 , -17/18 , 23/-24 , -11/-13
b. i) What is the excess of 20.4 over 9.7403? (2)
ii)Find the value of x. (2)
c. i) How much is 3p - 4q +r less than 4p + 3q - 5r? (2)
ii)Evaluate : ( -36 ) ÷ ( (- 14) +2) (2)
6. Attempt any three: (5x3=15)
a. i)Simplify: (3)
(-4 )x7 – [ 13 – { 49 +40 ÷ (11 – 17-4)}]
ii)The product of two rational number is 18/35. If one of them is -2/5, find the other. (2)
b. i) A 15m long ladder reaches a window 12m high from the ground on placing it against a wall. How far
is the foot of the ladder from the wall? (3)
ii) When a=3, b=0, c=-2, find the value of : ab+2bc+3ca+4abc (2)
c. i) The area of a rectangular plot is 340m2 and its breadth is 17m. Find the cost of surrounding the plot
with a fence at Rs. 5.70 per metre. (3)
ii) In a triangle ABC , A = 40o
, B= 55o
. Find C. (2)
d. i) From the sum of 4 + 3x and 5 – 4x + 2x2
, subtract the sum of 3x2
– 5x and –x
2
+ 2x + 5. (3)
ii) How many ice cream cones can be filled from 8.4 litres of ice cream, if one cone can be filled
with 35 millilitres of ice cream? (2)