Grade 10 · CAPS

Grade 10 Measurement

Mathematical Literacy practice questions and a worked example

Grade 10 Mathematical Literacy measurement questions ask you to scale a recipe and convert between cups, millilitres and litres, work out times and temperatures, and calculate the perimeter, area and volume of ponds, bins, bottles, pizzas and floors with the formula given. Several end with a claim to check, such as whether a bottle holds twice a smoothie or how many boxes of tiles to buy. They come from Grade 10 November papers set by the Eastern Cape (2019, and the 2020 exemplar) and North West (2024) education departments, each with the answer from the marking guideline.

Worked example

Thembinkosi wants to put a trampoline in his yard as entertainment for his children. The dimensions for the trampoline are shown below. He has started by digging a hole in order for the trampoline to be placed in the hole. Although Thembinkosi has used some of the dug-up sand, he has two-thirds of the sand left over. A company is prepared to collect the leftover sand free of charge, provided there is more than 5 m³ sand. 2.1.2 Determine, showing ALL calculations, whether there is enough sand for the company to come and collect it free of charge. You may use the formula: Volume = Area of base x height

Answer

Volume of the hole = 14,52 m² × 0,9 m = 13,07 m³ Sand left over = ⅔ × 13,07 m³ = 8,71 m³ There is enough sand for the company to collect it free of charge.

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Measurement

Question 1 of 3

The fundraising committee of your school is planning their annual Spring Dance. They decided on a venue that charges R7 500,00 for a function of five hours, with an additional charge of R900,00 per hour, or part thereof. The venue accommodates 120 guests for a three-course meal and dancing. NOTE: The dance starts at 18:30 and ends at 23:55. 1.4.1 The dance starts at 18:30 and ends at 23:55. Determine the duration of the dance, in hours and minutes.

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More practice questions

Explore additional Grade 10 Measurement questions.

  • 2
    Given below is a simple cheese and tomato pizza recipe. Study the recipe and answer the questions that follow. SIMPLE CHEESE AND TOMATO PIZZA (Makes 1 large pizza) ¾ cup homemade pizza dough 1 tbsp olive oil 2 cloves garlic 75 mℓ tomato paste 0,23 kg mozzarella cheese 2 tomatoes Salt and pepper to taste Remember: 1 cup = 250 mℓ 1 tablespoon = 15 mℓ 1 teaspoon = 5 mℓ 4.2 How many tablespoons of tomato paste is needed for this recipe?
  • 3
    Given below is a simple cheese and tomato pizza recipe. Study the recipe and answer the questions that follow. SIMPLE CHEESE AND TOMATO PIZZA (Makes 1 large pizza) ¾ cup homemade pizza dough 1 tbsp olive oil 2 cloves garlic 75 mℓ tomato paste 0,23 kg mozzarella cheese 2 tomatoes Salt and pepper to taste Remember: 1 cup = 250 mℓ 1 tablespoon = 15 mℓ 1 teaspoon = 5 mℓ 4.3 Convert the amount of cheese to grams.
  • 4
    Given below is a simple cheese and tomato pizza recipe. Study the recipe and answer the questions that follow. SIMPLE CHEESE AND TOMATO PIZZA (Makes 1 large pizza) ¾ cup homemade pizza dough 1 tbsp olive oil 2 cloves garlic 75 mℓ tomato paste 0,23 kg mozzarella cheese 2 tomatoes Salt and pepper to taste Remember: 1 cup = 250 mℓ 1 tablespoon = 15 mℓ 1 teaspoon = 5 mℓ When the pizza is completed, the base has a diameter of 32 cm and a height of 12 mm. 4.4.1 Write down the radius of one pizza base.
  • 5
    Given below is a simple cheese and tomato pizza recipe. Study the recipe and answer the questions that follow. SIMPLE CHEESE AND TOMATO PIZZA (Makes 1 large pizza) ¾ cup homemade pizza dough 1 tbsp olive oil 2 cloves garlic 75 mℓ tomato paste 0,23 kg mozzarella cheese 2 tomatoes Salt and pepper to taste Remember: 1 cup = 250 mℓ 1 tablespoon = 15 mℓ 1 teaspoon = 5 mℓ When the pizza is completed, the base has a diameter of 32 cm and a height of 12 mm. 4.4.2 Calculate the volume of one pizza (in mm³). You may use the formula: Volume = πr² × h; where π = 3,142

Common mistakes

  • Using the diameter in πr². Halve it first: the bottle with a diameter of 8 cm has a radius of 4 cm.
  • Rounding the wrong way. Tiles you must buy round up (177,7 tiles means 178), but boxes that fit along a side round down (65 cm ÷ 20 cm = 3,25, so only 3 fit).
  • Comparing cm³ with millilitres without converting. 1 cm³ = 1 ml, so a bottle of 1 206,528 cm³ holds 1 206,528 ml, more than the 1 100 ml needed.

More Grade 10 Mathematical Literacy topics

Measurement in other grades

Aligned to CAPS Grade 10 Mathematical Literacy — Measurement. Curriculum source: CAPS for the FET Phase, Department of Basic Education.

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