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Using Formulas Problem Solving

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Using Formulas Problem Solving

Choose the formula that fits each situation, substitute the given values, and include units in your answers. Show your working for calculation questions.

Recognising formulas

1.In the formula A = b × h, which symbols represent variables? Select all that apply.
  • A
  • b
  • h
  • ×
2.Which formula finds the perimeter P of a rectangle with length l and width w?
  • P = l × w
  • P = 2l + 2w
  • P = l + w
  • P = l × w × h
3.Match each formula with what it calculates.
  • v = d ÷ t
  • V = l × w × h
  • C = 2πr
  • Average speed
  • Circumference of a circle
  • Volume of a rectangular prism

Substitution and problem solving

4.A rectangular vegetable patch is 9 metres long and 4 metres wide. Use A = l × w to calculate its area. Show the values substituted into the formula.
5.A cyclist travels 168 kilometres in 4 hours. Use v = d ÷ t to find the cyclist’s average speed.
6.A storage tank is 6 metres long, 3 metres wide and 2 metres high. Use V = l × w × h to calculate its volume.
7.Isla is paid $18 per hour. Use P = r × h to find her pay for 5 hours of work.
8.A round trampoline has a radius of 7 centimetres. Use C = 2πr and π = 3.14 to calculate its circumference. Give your answer to two decimal places.

Reflecting on formulas

9.Give one reason formulas are useful when solving problems in everyday life.
10.Which step means replacing the variables in a formula with the given values? Choose one.
  • Choosing a suitable formula
  • Substituting the values correctly
  • Calculating the result
  • Writing the answer with the right units

2 printable pages

  • Using Formulas Problem Solving, page 1 of 2: Recognising formulas, Substitution and problem solving

    Page 1

  • Using Formulas Problem Solving, page 2 of 2: Reflecting on formulas

    Page 2

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