Question

practice
exam set

1. the rectangle was 24 inches long and 18 inches wide.

what was the ratio of its length to its width?

1. lakeisha’s test scores were 90, 95, 90, 85, 80, 85, 90, 80, 95, and 100. what was her mean (average) test score?
2. the report stated that two out of every five young people were unable to find a job. what fraction of the young people were able to find a job?
3. rachel bought a sheet of fifty 34 - cent stamps from the post office. she paid for the stamps with a $20 bill. how much money should she get back?
4. ninety - seven thousandths is how much less than two and ninety - eight hundredths? write the answer in words.
5. diagram this statement. then answer the questions that follow.

five sixths of the 300 runners finished the marathon.
(a) how many runners did not finish the marathon?
(b) what was the ratio of runners who finished the marathon to runners who did not finish the marathon?

1. copy this figure on your paper.

find the length of each unmarked side, and find the perimeter of the polygon. dimensions are in meters. all angles are right angles.
figure: a polygon with marked sides 5, 4, 8, 18, 15, 16

1. (a) write 0.75 as a reduced fraction.

(b) write \\(\frac{5}{8}\\) as a decimal number.
(c) write 125% as a decimal number.

1. if a card is drawn from a normal deck of cards, what is the probability that the card will be a heart?

Explanation:

Step1: Length to width ratio

$\frac{24}{18} = \frac{4}{3}$

Step2: Calculate mean test score

$\frac{90+95+90+85+80+85+90+80+95+100}{10} = \frac{900}{10} = 90$

Step3: Fraction with jobs

$1 - \frac{2}{5} = \frac{3}{5}$

Step4: Calculate change from $20$

Total cost: $50 \times 0.34 = 17$
Change: $20 - 17 = 3$

Step5: Subtract decimals

$2.98 - 0.097 = 2.883$

Step6(a): Non-finishers count

Non-finishers fraction: $1 - \frac{5}{6} = \frac{1}{6}$
Number: $\frac{1}{6} \times 300 = 50$

Step6(b): Finish to non-finish ratio

Finishers: $300 - 50 = 250$
Ratio: $\frac{250}{50} = \frac{5}{1}$

Step7: Find unmarked sides & perimeter

Bottom unmarked horizontal: $16 - 5 - 4 = 7$
Right unmarked vertical: $18 - 8 = 10$
Perimeter: $18 + 16 + 15 + 4 + 8 + 7 + 10 + 5 = 83$

Step8(a): Decimal to reduced fraction

$0.75 = \frac{75}{100} = \frac{3}{4}$

Step8(b): Fraction to decimal

$\frac{5}{8} = 5 \div 8 = 0.625$

Step8(c): Percent to decimal

$125\% = \frac{125}{100} = 1.25$

Step9: Probability of heart

$\frac{13}{52} = \frac{1}{4}$

Answer:

1. $\frac{4}{3}$
2. 90
3. $\frac{3}{5}$
4. $\$3$
5. Two and eight hundred eighty-three thousandths
6. (a) 50

(b) $\frac{5}{1}$

1. Unmarked sides: 7 m and 10 m; Perimeter: 83 meters
2. (a) $\frac{3}{4}$

(b) 0.625
(c) 1.25

1. $\frac{1}{4}$