Difficult Questions
Mathematics Class 7
43 of 43 questions
43
Selected Questions
0
Easy
0
Medium
43
Hard
🏆 Difficult Questions: Challenge yourself with the hardest questions available.
Q1
hardExpression Building
Find two different expressions to get 5072 using Creative Chitti’s buttons.
Q2
hardOptimization
What is the smallest number of button presses to get 8300 on Systematic Sippy?
Q3
hardNumber Names
Read 4050678 in Indian place value notation and write its name in the American system.
Q4
hardSubtraction
Convert 14,63,128 – 4,90,020 exactly.
Q5
hardNumber Patterns
What pattern is observed when multiplying 1111 × 1111?
Q6
hardFascinating Facts
The average Amazon discharge per second is given by 6400 × 62,500. What is this product?
Q7
hardCreative Thinking
Starting from 42,019 (23 sticks), adding two sticks yields 42,078. What is another valid bigger number?
Q8
hardCombinatorics
Using digits 0–9 once, what is the largest multiple of 5?
Q9
hardRounding
Write the seven nearest neighbours (thousand to crore) for 3,87,69,957: what is the nearest crore?
Q10
hardOptimization
Which button combination gives the fewest presses for 20,800 on Systematic Sippy?
Q11
hardCounting
How many stick segments to write 5108 in toothpick digits?
Q12
hardEvaluation
Evaluate 48 – 10 × 2 + 16 ÷ 2 using order of operations.
Q13
hardReasoning
Without calculating, which has greater value: (8 – 3) × 29 or (3 – 8) × 29?
Q14
hardWord Problems
Melvin reads 2 pages daily except Tuesdays and Saturdays. In 8 weeks how many pages?
Q15
hardReasoning
Which pair of expressions are equal without calculation?
Q16
hardEvaluation
Evaluate 6 × 3 – 4 × 5 using order of operations.
Q17
hardEvaluation
Evaluate 39 – 2 × 6 + 11 without brackets.
Q18
hardComparison
Which is the correct ascending order of values: 67 – 19, 67 – 20, 35 + 25, 5 × 11, 120 ÷ 3?
Q19
hardWord Problems
Which story situation matches the expression 89 + 21 – 10?
Q20
hardReasoning
Which two expressions are equal by reasoning, not calculation?
Q21
hardPaper Folding
In paper folding activity how many parallel lines do you get after two horizontal folds on a square sheet
Q22
hardNotations
Which notation denotes two sets of parallel lines in a figure
Q23
hardParallel Lines
What property of corresponding angles is both necessary and sufficient to establish parallelism
Q24
hardTransversals
What is the maximum number of distinct angle measures formed when a transversal intersects two lines
Q25
hardAlternate Angles
Which angles are called alternate exterior angles
Q26
hardAlternate Angles
Which angle is the alternate interior of angle e in figure five point twenty five
Q27
hardApplications
Which discipline is not mentioned as an application of geometry in the chapter introduction
Q28
hardChallenges
In the figure it out questions why might it be challenging to draw lines parallel to inclined segments on rectangular dot sheet
Q29
hardTriangle Inequality
Which case describes circles touching at exactly one point during triangle construction?
Q30
hardTriangle Inequality
Which construction case leads to no triangle formation?
Q31
hardAngle Properties
Which pair of angles cannot be adjacent angles of a triangle if their sum ≥ 180°?
Q32
hardConstructions
Which pair of given sides and included angle can sometimes fail to construct a triangle?
Q33
hardConstructions
What does the construction ‘ASA’ guarantee in triangle formation?
Q34
hardAngle Sum Property
Which method uses paper folding to demonstrate angle sum property?
Q35
hardConstructions
Which construction cannot determine a triangle uniquely?
Q36
hardAngle Properties
Which pair of angles can always form a triangle with some side length?
Q37
hardConstructions
What is the least value of external angle B that prevents triangle formation with angle A fixed at 40°?
Q38
hardConstructions
What is proven by constructing full circles in triangle side-side cases?
Q39
hardTriangle Inequality
Which condition ensures two circles intersect at two points internally?
Q40
hardWord Problems
How much did Somu keep after giving to children? (5/6 −5/12−5/18)
Q41
hardHistorical Context
Who first stated the general rule for fraction multiplication?
Q42
hardHistorical Context
In which work did Brahmagupta state fraction multiplication?
Q43
hardHistorical Context
Who wrote Līlāvatī?