Understanding Percentages

Question 1

Mia makes a 10 × 10 grid of tiny squares (so there are 100 squares in total). She shades exactly 40% of the squares. Which choice correctly tells (i) how many squares are shaded, (ii) the fraction that shows the shaded part using 100 as the denominator, and (iii) the decimal form of the same percent?

Accepted Answer

40 squares are shaded; the fraction is 40/100; the decimal is 0.40.

Answer

4 squares are shaded; the fraction is 4/100; the decimal is 0.04.

Answer

40 squares are shaded; the fraction is 2/5; the decimal is 0.40.

Answer

40 squares are shaded; the fraction is 40/100; the decimal is 4.0.

Question 2

Which statement correctly explains what 50% and 100% mean?

Accepted Answer

50% means half of something, and 100% means the whole thing.

Answer

50% means one quarter of something, and 100% means half of the thing.

Answer

50% means three quarters of something, and 100% means the whole thing.

Answer

50% means the whole thing, and 100% means twice the whole.

Question 3

Which pair shows 35% written correctly as a fraction and as a decimal?

Accepted Answer

35/100 and 0.35

Answer

35/1000 and 0.35

Answer

3.5/100 and 0.35

Answer

35/100 and 3.5

Try three questions

Which statement correctly explains what 50% and 100% mean?

Which pair shows 35% written correctly as a fraction and as a decimal?

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