Semester 4B — Practice Examination

Convert 7 L 48 mL to mL, then write 5,306 g as kilograms and grams.

A fence rail is 3 yd 1 ft long. Express this in inches.

An apple crate weighs 2 lb 13 oz. A second crate weighs 51 oz. Compare their weights.

A cooler has 1 gal 2 qt of water. How many pints is that?

A game lasts 1 h 47 min followed by 28 min of extra time. Give its total in hours and minutes.

A 2 m ribbon has 3/8 of its length decorated. How many centimeters are decorated?

A container holds 8 L of juice. Three eighths are poured out, then another 500 mL. How many milliliters remain?

A 9-by-5 unit rectangle is shown by dimensions. Draw its unit rows on the grid and state its area.

A garden has area 72 m² and length 12 m. Find the width.

A 10 cm × 8 cm cardboard rectangle has a 4 cm × 3 cm corner cut out. Find the remaining area.

A pentagon has sides 3 cm, 6 cm, 4 cm, 7 cm, and 5 cm. Find its perimeter.

An L-shape has exterior edges 11, 3, 5, 4, 6, and 7 cm in order. Find its perimeter.

Mark 0.3 of a whole strip divided into ten equal parts. State its fractional value.

Place 0.2 and 0.6 on a 0-to-1 number line and state their difference.

Write 58/100 as a decimal and identify its tenths digit.

Which is greater: 0.5 or 0.49? Explain using hundredths.

Express 0.36 as a fraction in simplest form.

Convert 9/20 and 3/5 to decimals.

Order 0.54, 0.5, 0.47, 0.6 from greatest to least.

Round 9.65 to the nearest tenth; explain what happens at the halfway point.

Calculate 6.2+1.4 and 9.5−3.2.

Compute 7.6+4.8, showing the exchange from tenths to ones.

Calculate 10.3−6.8 using regrouping.

Calculate 8.76+2.59 and identify where a hundredth exchange occurs.

Calculate 1−0.58 and 0.1−0.07.

Compute 12.05−7.89. Verify with addition.

A shop sells a book for $6.85 and a card for $2.79. You pay $20. Find exact change.

Compute 0.09×8 using hundredths.

Find 3.2×7 using partial products.

A bottle holds 1.35 L. How much do 16 bottles hold? Include a rough estimate.

Share 0.96 equally among 12 groups. What is one share?

Five packs contain 12.5 kg of rice in total. What does each pack contain?

Compute 7.28÷4 using the place-value exchanges needed.

A group pays $27.30 equally among seven people. How much does each pay?

A student lengthens both rays of a 48° angle and claims it becomes 96°. Explain the error.

Measure the marked angle in the diagram using a protractor. Record its measure.

Construct a 70° angle with a protractor and label its vertex.

On a straight line, one adjacent angle is 146°. Find the other angle.

An angle has an interior measure of 82°. Determine its reflex measure.

A line is horizontal. Describe a line perpendicular to it and explain why.

Two straight lines point in exactly the same direction and never intersect. Name the relationship.

On the grid draw line m, a perpendicular line n, and a distinct line p parallel to m. Mark one 90° angle.

Is every rhombus a square? Give a counterexample property.

How many symmetry axes does a non-square rectangle have? Explain why diagonals are not among them.

Draw a triangle on the left side of the vertical mirror line and its reflected copy on the right.

Describe the number of faces, edges, and vertices on a cuboid.

Sketch (not to scale) a foldable net of a 2 cm × 4 cm × 5 cm cuboid. Label the dimensions of all six faces.

A cuboid has edges 6 cm, 7 cm, 9 cm from one vertex. Give all different face areas.

A carton holds 3 qt 1 pt. Eight cups are poured out. How many cups remain?

You drink 1/4 of 12 L of water, then another 750 mL. What is left in liters and milliliters?

A classroom is 8 m × 7 m. A 2 m × 3 m cabinet zone is not carpeted. How much carpet is needed?

Explain why 0.30 and 0.3 are equal using the same-sized whole.

A store rounds $4.36 to the nearest tenth of a dollar. What is the rounded amount and why?

Correct the mistake: 6.4−2.9=4.5 because 9−4=5. State the correct difference.

A student claims 0.1−0.08=0.07. Explain the error.

An orchard packs 18 crates, each holding 1.25 kg of berries. Find the total mass.

A $16.20 invoice is split among six identical teams. What amount does each team owe?

One acute angle is 38°. Find its reflex angle.

Explain why a rectangle with side lengths 4 cm and 7 cm cannot be a square.

A student draws four 2×5 faces and two 2×4 faces for a 2×4×5 cuboid. Explain why the proposed faces are wrong.