Question bank
Chapter-1 Knowing our numbers
Q-1 Write the following numerals using Indian System in words
(a) 13,45,609
(b) 9,99,99,999
(c) 57,06,895
Q-2 Write the following numerals in the expanded form
(a) 8453765
(b) 57062319
(c) 40010809
Q-3 Write the numerals for the following
(a) Two crore thirty-five lakh twenty-seven
(b) Sixty-two lakh five
(c) Four crore thirty-seven lakh nineteen thousand eight
Q-4 Compare using >, < or = :
(a) 6,87,90,456 ( ) 68,78,345
(b) 8,94,098 ( ) 89,409
(c) 2,49,385 ( ) 81,76,394
(d) 39,62,95,108 ( ) 39,62,95,108
Q-5 Round off the following numbers to the nearest ten thousand
(a) 585856
(b) 89132
(c) 183246
Q-6 Find the estimated product for the following
(a) 25 *73
(b) 491 * 421
Q-7 Write the Roman numeral for each of the following :
(a) 59
(b) 95
(c) 324
(d) 67
(e) 447
Chapter-2 Playing with Numbers
Q-1 Simplify
1. 50000 - 45321
2. 186 X 535
3.2061/9
4.1331/11
5. 3867500 - 3865347
6. 180 X 345
7. 319 X 706
8. 24080 / 43
Q-2 Simplify
1.7-4+8-2=3+6
2. 21 - 15 + 8 = 6 + 8
3. 120 - 75 + 130
4. 25 + 14-27
5, 4 - 3 + 2 + 3 X 5
6. 21+ 3-4 + 2
Chapter-3 HCF and LCM
Q-1 Find all the factors of the following :
(a) 18
(b) 25
(c) 36
(d) 42
Q-2 Find the HCF using common factors
(a) 12, 16
(b) 15, 35
(c) 27, 54
(d) 31, 37
Q-3 Find the LCM of the following
(a) 7, 9
(b) 11, 12
(c) 15, 10
(d) 16, 12
Q-4 Find whether the first number is a factor of the second number yes or no
(a) 15, 75
(b) 13, 40
(c) 14, 60
(d) 7, 42
(e) 6, 48
Q-5 Express each as the sum of three odd prime numbers
(a) 31
(b) 35
(c) 41
Q-6 Write all multiples of
(a) 7 between 70 and 90
(b) 21 between 100 and 200
Q-7 Numericals
1. Can the product of two prime numbers be prime? If yes, give an example.
2. Are 27 and 72 co-primes? If, not, why?
3. Write all the prime numbers between 30 and 50.
4. How many even prime numbers are there in the set of natural numbers? List them
5. Write all pairs of twin primes less than 20 and find whether 49 and 51 are twin primes or not.
6. Write six pairs of co-prime numbers.
Q-8 Which of the following numbers are divisible by 2?
(a) 168
(b) 542
(c) 3705
Q-9 Write the prime factorisation of the following numbers
(a) 48
(b) 96
(c) 114
(d) 312
Q-10 Find the LCM using prime factorisation method
(a) 48, 60
(b) 24, 117
(c) 114, 180, 384
(d) 36, 72, 96, 108
Chapter-4 Natural Numbers and Whole Numbers
Q-1 State which property the following represent
(a) 50 + (28 + 40) = (50 + 28) + 40
(b) 25 + 0 = 25 = 0 + 25
(c) a* b = b * a
(d) 23* 1 = 1 *23
(e) 6 * (2 + 7) = (6 * 2) + (6 * 7)
Q-2 Determine the products by suitable arrangement
(a) 8 * 25* 2
(b) 2 * 127 * 50
(c) 12 * 50 * 8
Q-3 Numerical
1. Write the whole number which is never used as a divisor
We know that 0 ´ 0 = 0. Is there any whole number such that a´ a = a?
Is the product of any two odd numbers an odd number? Is it true for any two even numbers?
Simplify 272 ´ 42 + 272 ´ 50 + 272 ´ 8 and name the property applied on it.
In a town one (1) out of 27 people owns a car? If the total population of the town is 49626, how many people have cars?
10. Ram sold books for 15 days by selling 10 books each day. Shyam sold books for 10 days by selling 15 books each day. Who sold more books?
Chapter-5 Integers
Q-1 Write the opposites of the following
(a) - 217
(b) increase in population
(c) 50 km north
Q-2 Use + or - to represent the following :
(a) 10 m deep
(b) ` 500 more
(c) spending ` 700
(d) 25 km below
(e) 18 years after
(f) 20 steps to the right sea level
Q-3 Write in your own words the meaning of the following temperatures.
(a) 0°C
(b)-12°C
(c) + 6°C
Q-4 Arrange the integers in ascending order
(a) 6, - 4, 0, - 3, - 1,2
(b) 7, - 8, 8, 3, 10, - 9
Q-5 Add the following
(a) 78, -15
(b) 620, - 315
(c) -48, 89
(d) - 1567, + 312
Chapter-6 Fractions
Q-1 Convert the following improper fractions into mixed fractions :
(a) 5 /3
(b)7/2
(c) 11/9
(d)25/6
Q-2 Write the first five equivalent fractions of the following
(a) 1 /9
(b) 3/ 5
(c) 3 /8
(d) 4 /7
Q-3 Compare using >, < or = :
(a) 2/ 5 _______1/ 3
(b) 1 /12_____ 5 /7
(c) 2/ 8 ____ 3 /5
Chapter-7 Decimals
Q-1 Write the following fractions in decimal form
(a) 5 /10
(b) 7/10
(c) 3/100
(d) 57/100
Q-2 Write in the short form
(a) 0.8 + 0.07 + 0.009
(b) 3 + 0.008 + 0.0005
(c) 30 + 1 + 0.2 + + 0.08
(d) 10 + 7 + 0.5 + 0.02 + 0.006
Q-3 Compare using <, > or =
(a) 0.3___ 2.34
(b) 0.5____ 0.15
(c) 6.6___ 6.066
(d) 7.3 __ 7.30
Q-4 Rewrite in ascending order
(a) 0.04, 1.04, 0.14, 1.14
(b) 20, 19.09, 20.001, 19.9
(c) 6.23, 6.32, 6.4, 6
(d) 19.4, 19.45, 1.945, 194.5
Q-5 Add the following
(a) 6.5 + 4.5
(b) 2 .167 + 3.64
(c) 6 .3+12 .37
(d) 7 .16 + 3.14
Q-6 Numerical
1. Subtract the sum of 0.0016 and 993.450 from 1000
2. The normal human body temperature is 98.6°F. If the temperature of a person rose to 102.6°F, how much above normal was his temperature?
3. Priya bought a notebook for ` 25.75 and a pen for ` 107.60. How much money did she spend?
4. Subtract the difference of 68.01 and 58.6 from their sum
5. A drum of oil has a capacity of 725 litres. Two containers of 145.75 litres and 250.50 litres capacity are filled with oil from the drum. Find the quantity of oil left in the drum.
Chapter-8 Introduction to Algebra
Q-1 Identify monomial, binomial, trinomial and polynomial from the following
(a) 3* x + 5y
(b) 2a + 3b + c
(c) a2 + b2 + c2 + 2ab + 2bc + 2ca
(d) 3xyz
(e) x2 + x
Chapter-9 Linear Equations
Q-1 Write algebraic expressions for the following statements :
(a) 6 subtracted from the product of m and 3 gives 12
(b) 5 is equal to the sum of 8 and y
(c) Half of x plus 3 gives 7.
(d) A number t divided by 3 gives 5.
(e) Twice the sum of x and y is 9.
Q-2 Write the statements for the following equations :
(a) 3x + 7 = 5
(b) 6m= 18
(c) 4t = 0
(d) x* 4 - 10 = 1
Chapter-10 Ratio and Proportion
Q-1 Write the following as ratios in their simplest form :
(a) 12 kg to 84 kg
(b) 4 min to 48 sec
Q-2 Write the following ratios in ascending order :
(a) 3 : 4, 2 : 3, 5 : 6
(b) 7 : 11, 5 : 8, 3 : 10
Q-3 Which of the following are in proportion?
(a) 16, 4, 32, 8
(b) 18, 10, 9, 5
(c) 16, 30, 24, 45
(d) 3, 4, 2, 6
Q-4 Find the third proportion of the following
(a) 15, 45
(b) 3, 6
(c) 5, 10
Q-5 Numerical
1. The cost of 5 pens is ` 15. What is the cost of 15 such pens?
2. A car covers 50 km in 1 hour. Find the distance covered by the same car in 45 minutes.
3. The cost of 5 kg of mangoes is ` 200. How many kg of mangoes can be purchased for ` 300?
4. If a cow grazes 10 sq.m of a field in 3 days, how much area will it graze in 21 days?
5. A boat covers a distance of 21 km in 7 hours. What distance will it cover in 2 hours?
Chapter-11 Basic Geometrical Concepts
Q-1 Give one example from your daily life to illustrate the idea of a
(a) plane surface
(b) curved surface
(c) linear boundary
(d) curved boundary
(e) partly curvilinear and partly linear boundaries.
Q-2 Answer the following :
(a) How many lines can you draw passing through two points?
(b) How many lines can you draw through a single point?
(c) What is the maximum number of points at which three lines can intersect in a plane?
(d) Points A,B and C are collinear. Can you draw another line passing through A,B and C?
Q-3 Numerical
1. Draw a rough sketch of D ABC. Name its vertices, sides and angles. Draw all medians of D ABC.
2. Two angles of a triangle are in the ratio 1 : 2 and its third angle is 60°. Find the other two angles of the triangle.
Q-4 Define the following terms
(a) diameter
(b) circumference
(c) chord
Chapter-12 Understanding Elementary Shapes
Q-1 What is the magnitude of the angle formed between the two hands of a clock at the following times ?
(a) 3 : 30
(b) 3:00
(c) 6:00
(d) 9:00
(e) 12:00 noon
(f) 4:00
(g) 1:00
(h) 8:00
Q-2 classify the following angles as acute, obtuse, reflex, complete, etc.
(a) 70°
(b) 130°
(c) 190°
(d) 360°
(e) 45°
(f ) 280°
(g) 179°
(h) 27°
Chapter-14 Perimeter and Area
Q-1 Numerical
1. The sides of a triangular field are 20 cm, 15 cm and 12 cm. Find the total distance travelled by a boy taking 2 complete rounds of the field.
2. The length and breadth of a rectangular park are 615 m and 550 m, respectively. Find the cost of fencing the park at the rate of ` 9.25 per metre.
3. The length of a piece of wire is 78 m. If the wire is used to make a regular pentagon and a regular hexagon, find the difference in lengths of its sides.
4. Find the length of a side of an equilateral triangle whose perimeter is 3m 12cm.
5. Shyam takes 2 rounds of a square park of side 135m and seema takes 3 rounds of a rectangular park of length 70m and breadth 45m. Who covers more distance and by how much?
Q-2 Numerical
1. Find the cost of levelling a garden with length 53m and breadth 45m at the rate of ` 40 per m2.
2. The area of a rectangle is 150 m2. If its length is 15m, find its breadth and perimeter.
3. A room is 13m long and 10m broad. Find the cost of carpeting the floor at the rate of ` 650 per m2.
4. A rectangle is 25m long and 16m broad. Find the side of a square whose area is equal to the area of this rectangle.
5. What happens to the area of a square if its side is (a) halved (b) doubled?