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Chapter 8

Mathematics Class 7

41 of 41 questions

41
Total Questions
20
Easy
17
Medium
4
Hard
Q1
easyMultiplication of Fractions
Aaron walks 3 km in 1 hour. How far can he walk in 5 hours?
A.8 km
B.10 km
C.15 km
D.12 km
Q2
easyMultiplication of Fractions
A tortoise walks at 1/4 km per hour. How far does it walk in 3 hours?
A.3/4 km
B.1 km
C.1/4 km
D.3 km
Q3
easyMultiplication of Fractions
Compute 2/5 × 3.
A.6/5
B.3/5
C.5/2
D.2/15
Q4
easyMultiplication of Fractions
What is 3 × 1/5?
A.3/5
B.1/5
C.5/3
D.3/1
Q5
mediumMultiplication Process
Compute (2/5) × 3 again using the divide-then-multiply method. Which is the first step?
A.Divide 3 by 5
B.Multiply 2 by 5
C.Divide 2 by 5
D.Multiply 3 by 2
Q6
mediumWord Problems
A farmer gives each of 5 grandchildren 2/3 acre. How much land in all?
A.10/3 acre
B.5/3 acre
C.2/3 acre
D.5 acre
Q7
mediumWord Problems
Internet time costs ₹8 per hour. How much does 1 1/4 hours cost?
A.₹9
B.₹10
C.₹8.25
D.₹12
Q8
easyMultiplication Rule
What is the general rule for multiplying two fractions a/b × c/d?
A.(a×c)/(b×d)
B.(a+b)/(c+d)
C.a/c + b/d
D.(a×d)/(b×c)
Q9
easyMultiplication of Fractions
What is 1/2 × 1/4?
A.1/8
B.1/6
C.1/4
D.1/2
Q10
easyMultiplication of Fractions
Calculate 3/4 × 2/5.
A.3/10
B.6/9
C.6/20
D.5/12
Q11
mediumMultiplication of Fractions
Find 5/12 × 7/18.
A.35/216
B.12/30
C.35/12
D.7/18
Q12
mediumSimplification
Simplify 12/7 × 5/24.
A.5/14
B.60/168
C.12/24
D.5/7
Q13
easyReciprocal Concept
What is the reciprocal of 3/5?
A.5/3
B.3/5
C.−3/5
D.1/15
Q14
mediumDivision of Fractions
Compute 2/3 ÷ 3/5.
A.10/9
B.5/9
C.6/15
D.2/5
Q15
easyDivision of Fractions
What is 1/5 ÷ 1/2?
A.2/5
B.1/10
C.5/2
D.1/2
Q16
easyDivision Rule
To divide by a fraction, you multiply by its ________.
A.reciprocal
B.denominator
C.numerator
D.sum
Q17
mediumSimplification
Which step should you do first when multiplying fractions to simplify?
A.Cancel common factors
B.Multiply numerators
C.Multiply denominators
D.Add numerators
Q18
easyDivision of Whole by Fraction
What is 6 ÷ 1/4?
A.24
B.3/2
C.1.5
D.2/3
Q19
easyFractional Time
Aaron’s distance in 1/5 hour at 3 km/h is:
A.3/5 km
B.5/3 km
C.1/5 km
D.3/1 km
Q20
easyArea Interpretation
Area of a rectangle with sides 1/2 and 1/4 is:
A.1/8
B.1/6
C.1/4
D.1/2
Q21
mediumWord Problems
A tap fills 7/10 of a tank per hour. How much in 1/3 hour?
A.7/30
B.7/3
C.3/7
D.1/30
Q22
easyWord Problems
If government takes 1/6 of Somu’s land, what remains?
A.5/6
B.1/6
C.1/5
D.6/5
Q23
mediumWord Problems
Somu gives half of her remaining land (5/6) to her daughter. What part of original land is that?
A.5/12
B.5/6
C.1/3
D.1/2
Q24
mediumWord Problems
Somu gives 1/3 of her remaining (5/6) to her son. What part of original does he get?
A.5/18
B.5/6
C.1/3
D.5/9
Q25
hardWord Problems
How much did Somu keep after giving to children? (5/6 −5/12−5/18)
A.5/36
B.1/6
C.5/12
D.1/3
Q26
mediumWord Problems
Car runs 16 km per litre. How far with 2 3/4 L?
A.44 km
B.40 km
C.45 km
D.42 km
Q27
mediumWord Problems
Train takes 5 1/6 h, plane 1/2 h. How many hours saved?
A.4 2/3 h
B.4 1/2 h
C.5 1/3 h
D.4 5/6 h
Q28
easyDivision of Fractions
What is 1/3 ÷ 1/6?
A.2
B.1/2
C.1/3
D.3
Q29
mediumDivision of Fractions
Evaluate 3 ÷ 7/9.
A.27/7
B.9/7
C.21/9
D.7/3
Q30
easyDivision of Fractions
What is 1/4 ÷ 2/2?
A.1/4
B.1/2
C.2
D.1
Q31
hardHistorical Context
Who first stated the general rule for fraction multiplication?
A.Brahmagupta
B.Aryabhata
C.Bhāskara II
D.Umasvati
Q32
hardHistorical Context
In which work did Brahmagupta state fraction multiplication?
A.Brāhmasphuṭasiddhānta
B.Līlāvatī
C.Āryabhaṭīyabhāṣhya
D.Śhulbasūtra
Q33
hardHistorical Context
Who wrote Līlāvatī?
A.Bhāskara II
B.Brahmagupta
C.Śhrīdharāchārya
D.Caturveda
Q34
mediumHistorical Context
What does apavartana refer to?
A.Reduction to lowest terms
B.Reciprocal
C.Multiplication
D.Division
Q35
mediumNumber Relationships
If both numbers >1, their product is:
A.Greater than both
B.Less than both
C.Equal to both
D.In between
Q36
mediumNumber Relationships
If both numbers are between 0 and 1, their product is:
A.Less than both
B.Greater than both
C.Equal to both
D.In between
Q37
mediumNumber Relationships
If one number >1 and one between 0 and 1, product is:
A.Between the two
B.Greater than both
C.Less than both
D.Equal to one
Q38
easyProperties
Which property explains a/b × c/d = c/d × a/b?
A.Commutative
B.Associative
C.Distributive
D.Identity
Q39
easyMultiplication of Fractions
What is 7/10 × 3/4?
A.21/40
B.10/28
C.7/14
D.3/40
Q40
easySimplification
Simplify 21/40 (from previous question).
A.21/40
B.3/40
C.21/4
D.7/10
Q41
easyMultiplication of Fractions
What is 4 × 3/5?
A.12/5
B.7/5
C.3/4
D.5/3