Worksheets › Class 8 › Power Play: Thinking Puzzles
Class 8 · Computational Thinking and AI worksheetPower Play: Thinking Puzzles
CBSE Computational Thinking and AI. Comparing powers, power patterns, doubling, laws of exponents, units-digit cycles, counting codes and teams, a bag-packing optimisation. Every sheet has 20 questions in three sections and an answer key, and the questions change every time.
Sample questions
Real questions from this chapter, as the app sets them. Tap Answer to see the answer and working.
Section A · multiple choice
- 1.
Any non-zero number raised to the power 0 equals:
- the number itself
- undefined
- 0
- 1
Answer
(d) 1
- 2.
Which of these has the greatest value?
- 2⁶
- 8⁶
- 5⁶
- 9⁶
Answer
(d) 9⁶
2⁶ = 64 < 5⁶ = 15,625 < 8⁶ = 262,144 < 9⁶ = 531,441
- 3.
What comes next? 8, 20, 68, 260, ?
- 1,028
- 1,032
- 1,024
- 1,040
Answer
(a) 1,028
each term is 4ⁿ + 4: 4⁵ + 4 = 1028
Section B · short answer
- 4.
Why is 5⁰ equal to 1? Use a pattern.
Answer
5³ = 125, 5² = 25, 5¹ = 5: each step divides by 5, so the next is 5 ÷ 5 = 1.
- 5.
Find the value of (3²)² ÷ 3³.
Answer
3
3⁴ ÷ 3³ = 3¹
Section C · long answer
- 6.
A culture starts with 18 cells and doubles every 4 hours. (a) How many cells are there after 24 hours? (b) After how many hours does the number first exceed 9,229?
Answer
(a) 1,152; (b) 40 hours
6 doublings: 18 × 2⁶; 10 doublings: 18 × 2¹⁰ = 18,432
Fresh sheets for your child
In the app, every Power Play: Thinking Puzzles sheet is new: the app remembers the questions your child has already had and leaves them out. Print the sheet as a PDF, or use notebook mode and write the answers in a notebook.
Coming soon for Android and iPhone.