Power Play — Practice

Q1. In the paper-folding story the assumed thickness of a single unfolded sheet of paper is

• A. 0.01 cm
• B. 0.1 cm
• C. 1 cm
• D. 0.001 cm

Q2. The fold-thickness table shows that after each fold, the thickness of the paper

• A. increases by 0.001 cm
• B. doubles
• C. triples
• D. stays the same

Q3. That, starting from any point, after 10 more folds the thickness of the paper increases by how many times?

• A. 10 times
• B. 100 times
• C. 1024 times
• D. 2 times

Q4. The exponential form of 625. Which of the following equals 625?

• A. 5^2
• B. 4^5
• C. 5^4
• D. 2^5

Q5. In the exponential expression 5^4, the number 5 is called the

• A. exponent
• B. power
• C. product
• D. base

Q6. Express 6 × 6 × 6 × 6 in exponential form. The answer is

• A. 4^6
• B. 6^4
• C. 6 × 4
• D. 24

Q7. Writes 32400 as a product of its prime factors in exponential form. The correct form is

• A. 2^4 × 5^2 × 3^4
• B. 2^2 × 5^4 × 3^4
• C. 2^4 × 5^4 × 3^2
• D. 2 × 5 × 3

Q8. In the 'Stones that Shine' problem the total number of diamonds 3^7 is shown to equal 3^4 × 3^3. This is because

• A. 3^4 × 3^3 = 3^(4+3) = 3^7
• B. 3^4 × 3^3 = 3^(4×3) = 3^12
• C. 3^4 × 3^3 = 3^(4−3) = 3^1
• D. 3^4 × 3^3 = 6^7

Q9. Generalises that p^4 × p^6 written in exponential form equals

• A. p^24
• B. p^(4×6)
• C. (2p)^10
• D. p^10

Q10. Estu has 4 dresses and 3 caps. According to, the number of different ways he can combine a dress and a cap is

• A. 7
• B. 4 + 3
• C. 12
• D. 4^3

Q11. A 5-digit lock (each slot showing digits 0 to 9) has how many possible passwords?

• A. 5 × 10
• B. 10^5
• C. 5^10
• D. 50

Q12. 2^0 by using the rule n^a ÷ n^b = n^(a−b). The value of 2^0 is

• A. 0
• B. 1
• C. 2
• D. Undefined

Q13. Halving a line of length 2^4 units five times gives 2^(−1) units. The value of 2^(−1) equals

• A. −2
• B. 2
• C. 0
• D. 1/2

Q14. Writes 47561 in expanded form using powers of 10 as

• A. (4 × 10^4) + (7 × 10^3) + (5 × 10^2) + (6 × 10^1) + (1 × 10^0)
• B. (4 × 10^5) + (7 × 10^4) + (5 × 10^3) + (6 × 10^2) + (1 × 10^1)
• C. (4 + 7 + 5 + 6 + 1) × 10^5
• D. 4.7561 × 10^4

Q15. Expresses 5900 in scientific (standard) form. The correct standard form, with coefficient between 1 and 10, is

• A. 59 × 10^2
• B. 0.59 × 10^4
• C. 5.9 × 10^3
• D. 590 × 10^1