Semester 4B — Cumulative Review

Convert 4 km 85 m to meters, and 3,250 mL to liters and milliliters.

A path is 2 yd 2 ft long. How many feet is that? How many inches?

A bag weighs 3 lb 7 oz. Express the weight in ounces. A second bag weighs 43 oz. Which is heavier?

A jug holds 2 qt 1 pt. How many cups will it fill?

A science activity takes 2 min 35 s, then 95 s more. Give the total in minutes and seconds.

A ribbon is 3/4 m long. Find its length in centimeters. Explain what the whole is.

A tank contains 6 L of water. A quarter is used, then 750 mL more. How many mL remain?

A 4 L tank is half full. You pour in 650 mL. How many milliliters are in it now?

Draw a rectangle 7 units by 4 units on the grid. Show why its area is 28 square units.

A rectangular mat has an area of 54 cm² and a width of 6 cm. Find its length.

A composite floor is a 9 m by 6 m rectangle with a 3 m by 2 m corner removed. Find its area.

A rectangle is 11 cm long and 4 cm wide. Find the perimeter; identify the linear unit.

An L-shaped path has clockwise boundary lengths 8 m, 2 m, 5 m, 3 m, 3 m, and 5 m. Find its perimeter.

A 12 m × 8 m rectangle has a 5 m × 3 m section removed. Find the remaining area.

A rectangular fence surrounds a 13 m by 9 m plot. How many meters are required?

Shade 7 tenths of the strip. Write the value as a fraction and decimal.

Place 0.4 and 0.9 on a 0-to-1 number line. Which lies farther right?

Write 34/100 as a decimal. Describe how many full tenths and extra hundredths it contains.

Explain why 0.6 and 0.60 name the same quantity.

Express 0.45 as a fraction in simplest form.

Write 3/4 and 7/20 as decimals.

Order 0.8, 0.68, 0.75, and 0.7 from least to greatest.

Round 6.47 to the nearest tenth and explain which two tenths surround it.

A student says 0.4 = 4/100. Explain and correct the claim.

Write an inequality comparing 0.72 and 0.7, and explain using hundredths.

Compute 4.6+2.3 and 8.7−5.2. Explain the unit being combined.

Calculate 3.8+5.7. Where does the extra whole come from?

Calculate 8.2−3.6 using a place-value exchange.

Compute 7.48+3.67. Show why the result is greater than 11.

Find 1−0.67 and 0.1−0.04.

Compute 9.02−4.85. Show the exchange across the zero tenths.

A notebook costs $4.75 and a pencil costs $0.89. You pay $10. How much change do you receive?

A student calculated 1.6+0.85=1.91. Explain the place-value mistake and find the correct result.

Find the change from $15 after buying items costing $6.48 and $3.79.

Find 0.08×7. Explain using hundredths.

Find 2.4×6 using an equal-groups or repeated-addition model.

A ribbon is 1.25 m long. Find the length of 24 identical ribbons; give a reasonable estimate.

Divide 0.72 equally among 8 groups; give the value in each group.

Four equal bottles contain 9.6 L altogether. How much is in each?

Compute 5.16÷3. Explain any renaming of tenths as hundredths.

A $23.40 fee is split equally among six students. How much does each pay?

A student says multiplying 0.45 by 10 gives 0.450 because a zero is appended. Explain and calculate.

A water tank has 18.6 L shared equally among three jugs. How much is in each?

Two rays form the same opening even though one ray is extended. Does the angle get larger? Explain.

Use a protractor to measure the marked angle in the diagram. State the measure.

Draw a 115° angle with a protractor. Label the vertex and both rays.

Two adjacent angles form a straight angle. One is 73°. Find the other.

The smaller angle between two rays is 125°. What is the reflex angle between them?

Sketch a 90° turn and a 45° turn. Which is larger, and by how much?

Find x when a straight angle consists of adjacent angles x and 118°.

Are the horizontal and vertical grid lines perpendicular? Explain.

Draw two distinct horizontal lines on the grid. Why are they parallel?

Draw a vertical line n on the grid and a line m perpendicular to it. Then draw a different line p parallel to m.

Name one property all rectangles (including squares) share. Explain one way a nonsquare rectangle differs from a square.

How many reflection axes does a nonsquare rectangle have? Identify them.

On the grid, draw a point 3 squares to the left of the vertical mirror line, then draw its reflected partner.

Explain why two lines that never meet on the page may not be parallel.

Draw one pair of parallel lines and one perpendicular line on the grid. Label both relationships.

A shape has one vertical mirror axis. A point is 4 grid squares left of it. Where is its image?

How many faces, edges, and vertices does a rectangular cuboid have?

Sketch (not to scale) a valid net for a 2 cm × 3 cm × 4 cm cuboid, labeling all six face dimensions.

A cuboid is 8 cm by 5 cm by 3 cm. State the area of each pair of opposite faces.

A rectangular box has six faces. Are all six faces necessarily squares? Explain.

Why might six rectangles with the correct face sizes still be an invalid cuboid net?