Cumulative semester review

Find 6 × 8 by starting with five groups of eight. Explain the extra group.

Calculate 7 × 6 by breaking seven groups into 5 groups and 2 groups.

Compute 6 × 9 in two different ways and explain why they agree.

Share 84 counters equally among 7 groups. How many counters in each group?

Find 8 × 7 by doubling 4 × 7.

Use 10 × 8 to calculate 9 × 8.

A shelf has 8 rows of 9 books. Determine the total using an area or equal-group model.

There are 75 pencils. Put 8 in each box. How many full boxes and how many remain?

A theater has 8 rows of 7 seats. Six seats are empty. How many people are seated?

Find 9 × 12 using 10 × 12 and a subtraction.

83 students are arranged in groups of 8 for an activity. How many full groups and extras?

A rectangle is divided into 8 equal parts and 3 are shaded. What fraction is shaded? Explain the denominator.

The interval from 0 to 1 is divided into 5 equal steps. What fraction is at the third tick after zero?

Compare 5/9 and 7/9 with <, =, or >. Explain.

Which is larger, 3/5 or 3/8? Explain why a larger denominator does not mean a larger amount.

A shape is partitioned into 10 equal parts. Six are colored. Describe the fraction and why the word equal matters.

Compare 4/7 and 4/9. Explain using the same-sized whole.

A unit interval is divided into 12 equal parts. Which is farther from zero, the fourth tick or the ninth tick? By what fraction of one unit?

Shade 1/2 of a strip divided into 6 equal cells. How many cells should be shaded?

Complete 3/4 = __/12. Explain how the denominator changes.

Simplify 12/18 and identify the common factor used.

Compare 3/4 and 5/8 using eighths.

Compare 5/6 and 7/9 using eighteenths.

Calculate 3/10 + 5/10. Express the answer in simplest form.

Find 1/2 + 1/4 and draw or describe equal parts.

Find 3/6 + 2/6 and simplify if possible.

What fraction must be added to 5/8 to make one whole?

Correct the claim 2/3 + 1/6 = 3/9.

Convert 4 m 35 cm to centimeters.

Find 5 m 12 cm − 75 cm. Show the exchange.

Convert 3 km 450 m into meters.

Calculate 6 km 40 m − 785 m.

A pitcher has 2 L 350 mL. How many milliliters is that?

Express 4 kg 90 g in grams.

A pot has 3 L 200 mL of water. You pour out 850 mL. How much water remains?

A tank has 5 L 150 mL, then 750 mL is removed. How much remains?

What is the difference between 3 kg 25 g and 1 kg 800 g?

A sign lists distances as 2 km 80 m and 1,350 m. How many meters in total?

A circle has radius 5 cm. What is its diameter, and why?

An angle measures 65°. Is it smaller or larger than a right angle? Explain.

Classify angles measuring 35°, 90°, and 130°.

A triangle has sides 6 cm, 6 cm, and 4 cm. Classify it by side lengths.

True or false: every equilateral triangle is also isosceles if “isosceles” means at least two equal sides. Explain.

Is every square also a rectangle? Explain using properties.

A quadrilateral has four right angles and four equal sides. Give its most specific common name.

A triangle has sides 5 cm, 7 cm, and 9 cm. Classify it by its side lengths.

A circle is drawn using a compass set to 4 cm. How long is a segment across the circle passing through the center?

A rectangle covers 5 rows of 4 identical square tiles. Find its area in square tiles.

A rectangle is covered with 3 rows of 6 square-centimeter tiles. What is its area and unit?

Find the area of a 9 cm by 4 cm rectangle.

An L-shape fits in an 8×6 square-unit rectangle with a 3×2 rectangle missing from one corner. Find its area.

A rectangle is 5 cm by 3 cm. Find its perimeter and explain what is measured.

Calculate the perimeter of a rectangle 11 m long and 7 m wide.

Compare two rectangles of dimensions 3×8 and 4×6. Are their areas the same? Are their perimeters?

A rectangular garden 8 m by 5 m is surrounded by a fence. Find both planting area and fence length.

A rectangle is 9 units wide and 4 units high. One 2×3 corner rectangle is removed. Find remaining area.

A 5×5 square and a 3×9 rectangle both have integer side lengths. Compare their areas and perimeters.

Convert 3 minutes 25 seconds into seconds.

How many minutes pass from 9:20 a.m. to 10:05 a.m.?

A movie starts at 4:15 p.m. and lasts 1 hour 35 minutes. What time does it end?

How long is it from 11:50 a.m. to 12:30 p.m.?

A student reads 25 minutes, rests 10 minutes, and reads another 30 minutes. How much time passes altogether?

An event begins 10:55 a.m. and lasts 80 minutes. When does it end?

How many hours are in 2 days 6 hours?

A music class starts 3:40 p.m., lasts 35 min, rests 10 min, and studies 20 min. When does it finish?

Write 4 dollars and 7 cents as a money amount. Explain the zero.

You have $6.85. How much more is needed to make $10.00?

Find the total cost of $12.48 and $3.75.

Find $20.00 − $7.86.

You have $40.00. You buy a book for $13.45 and a pen for $2.75. How much remains?

You buy a notebook for $4.65 and a pencil for $1.90. You pay $10.00. Find your change.

A toy costs $9.99. How many cents more than $9.00 is that?

A family buys two sandwiches for $6.75 each and a juice for $2.40. Find the bill.