7. A tech store offers a 19% discount on a laptop priced at K2,995. Estimate the amount of the discount.
Step 1: Round the percentage. 19% is approximately 20%.
Step 2: Round the price. K2,995 is approximately K3,000.
Step 3: Calculate the estimated discount.
20%ofK3,000=10020×3,000=0.20×3,000=K600
Section C: Estimating a Quantity as a Percentage (6 Marks)
8. In a class of 39 students, 19 are wearing glasses. Estimate the percentage of students wearing glasses.
Step 1: Round the number of students wearing glasses. 19 is approximately 20.
Step 2: Round the total number of students. 39 is approximately 40.
Step 3: Calculate the estimated percentage.
4020×100%=21×100%=50%
9. A football player scored 9 goals out of 41 attempts. Estimate his scoring rate as a percentage.
Step 1: Round the number of goals. 9 is approximately 10.
Step 2: Round the total number of attempts. 41 is approximately 40.
Step 3: Calculate the estimated scoring rate.
4010×100%=41×100%=25%
Section D: Word Problems on Estimation (10 Marks)
10. A farmer harvests 487 apples from one tree and 512 apples from another.
a) Estimate the total number of apples harvested by rounding to the nearest hundred.
Step 1: Round the apples from the first tree. 487 rounded to the nearest hundred is 500.
Step 2: Round the apples from the second tree. 512 rounded to the nearest hundred is 500.
Step 3: Add the rounded numbers to estimate the total.
500+500=1,000 apples