NUMBER AND OPERATIONS
What is the LCM of 6 and 8?
24
What is the value of x in: 3x = 21?
x = 7
How many degrees are in a right angle?
90°
Mode of: 2, 4, 6, 4, 3, 4?
4
Two-digit number that’s both a square and a cube?
64 (8² = 64, 4³ = 64)
What is simple interest on ₹1000 at 5% per annum for 2 years?
₹100
How many degrees in a pie chart represent 25%?
90°
Who once calculated the 23rd root of a 201-digit number faster than a computer?
Shakuntala Devi
What shape do spider webs often resemble due to their structure?
Radial or circle symmetry
I am a number. Multiply me by 2 and add 6. You get 14. What am I?
4
Simplify: 48 ÷ (6 + 2) × 4
24
Expand: (x + 2)(x - 5)
x² - 3x -10
Name a 3D shape with 6 faces, all rectangles.
Cuboid
Probability of rolling even number on die?
3/6 = 1/2
I’m a number. Double me and add 5 = 21. What am I?
8
Convert 2 hours 45 minutes into minutes.
165 minutes
What is the median of 3, 7, 9, 15, 17?
9
He is known as the "Father of Geometry."
Which natural phenomenon forms a perfect circle based on angles and light refraction?
What comes once in a minute, twice in a moment, but never in a thousand years?
The letter M
What is 12.5% of 640?
80
Solve: 2(x – 3) = x + 5
x = 11
Area of triangle with base 12 cm and height 5 cm.
30 cm²
Median of: 15, 10, 20, 30, 25?
20
___ + 1/3 = 5/6
1/2
A shopkeeper gives 10% discount on ₹500. What is the final price?
₹450
What does the x-axis in a bar graph represent?
Categories or independent variable
Who introduced the decimal system to Europe from Indian numerals?
Al-Khwarizmi
Name the mathematical sequence found in pineapples and pinecones.
Fibonacci sequence
What 3 whole numbers give the same result when added or multiplied?
1, 2, 3
Divide 3.25 by 0.5
6.5
If a pattern starts with 2, 5, 10, 17... what is the 6th term?
37
Circumference of circle, diameter 14 cm (π = 22/7)?
44 cm
Bag: 5 red, 3 blue, 2 green. Probability of blue?
3/10
Tank fills in 5 hrs. Leaks 1/5 per hour. How full?
0 (leaks = fills)
If a train travels 60 km in 1 hour, how far does it go in 2.5 hours?
150 km
The average of 4, 8, 12 is...?
8
The Fibonacci sequence is named after Fibonacci. What is the 5th number in the Fibonacci sequence starting with 0, 1...?
3 (Sequence: 0, 1, 1, 2, 3, 5...)
Which geometric concept explains why bubbles are spherical?
Minimum surface area
I add 5 to 9 and get 2. Why?
It’s a clock: 9 + 5 = 2 o’clock
A number is increased by 25%, then decreased by 20%. What is the net % change?
0% decrease (Net effect: +25% then -20% of new value = overall 0% net change)
Factorise: x² - 9x + 20
(x - 4)(x - 5)
Cone has slant height 13 cm, height 12 cm. Find radius.
5 cm (Pythagoras: r² = 13² - 12² = 25 → r = 5)
Average of 5 numbers is 18. 4 known: 15, 20, 16, 17. Find 5th.
22
Product = 144, LCM = 36. Find HCF.
4 (Product = HCF × LCM → HCF = 144 ÷ 36 = 4)
A watch shows 2:15 PM. What will it show after 3 hours and 40 minutes?
5:55 PM
A die is rolled. What is the probability of getting an even number?
3/6 or 1/2
Who gave the famous quote: “An equation means nothing to me unless it expresses a thought of God”?
Srinivasa Ramanujan
Which shape most efficiently fills space in nature and design?
Hexagon
I am an odd number. Take away one letter, and I become even. What am I?