5B Cumulative Review 4 — Ratio, Rate and Percentage

Fourteen yellow beads and twenty-one green beads are shown. Give the simplest yellow:green ratio and explain the order.

Decide whether 9:12 and 6:8 are equivalent. Demonstrate with a common simplified ratio.

The ratio red:blue is 2:7, with 45 counters total. Find each count using ratio-unit parts.

If A:B=5:2 and B:C=4:3, combine them as A:B:C and explain middle-term scaling.

Blue:green marbles = 3:5 and there are 40 green marbles. Find blue and total marbles.

A courier travels 210 km over 5 hours. Give the unit rate in kilometers per hour.

A pen costs $2.75. Find the cost of eight pens using the rate and number of pens.

At constant pace, a walker travels 2 km in 5 minutes. How far in 20 minutes? Show scaling.

A filter cleans 1.2 L in 6 minutes. Find its rate and the volume it cleans in 15 minutes.

Seventeen of 50 equal cells are colored. Express the colored portion as a percent of the whole.

Write 60% as a fraction in simplest form, showing the hundredths fraction first.

What percentage is the decimal 0.084? Explain the multiplication by 100.

Convert 9/25 to a percentage through an equivalent fraction with denominator 100.

Find 30% of 90 items and identify which number represents the original whole.

After a 10% discount, a bag costs $45. Find its original price and explain the relationship to 90%.

A:B=3:2 and the total is 150. How many are in each group? What is 30% of group A?

An admission center issues 48 tickets in 4 hours. If output remains constant, how many tickets in 7 hours? State the rate.

A vehicle travels at 80 km/h for 1.5 hours. What is 25% of that distance?

Compare 25% of 120 with 40% of 75. Are the results equal? Show both computations.

A vehicle initially travels 180 km in 3 hours. If its rate increases by 25%, how far will it travel in 2 hours at the new constant rate?