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Functional Skills Maths Level 2 Modelling Everyday Situations — practice questions

Explore 2 free Modelling Everyday Situations questions in Functional Skills Maths Level 2 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Modelling Everyday Situations questions and exercises with answers

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A trainee saves £2,400 and expects to spend £180 each week while retraining. Which rule gives the money left, M, after w weeks?Read the answer and worked solution →A retraining grant of £3,150 is drawn down at £225 a week. After how many weeks is the grant used up?Read the answer and worked solution →

Worked practice questions

A trainee saves £2,400 and expects to spend £180 each week while retraining. Which rule gives the money left, M, after w weeks?

  1. M = 180w + 2400
  2. M = 2400 - 180w
  3. M = 2400w - 180
  4. M = 180 - 2400w
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Correct answer: B. M = 2400 - 180w

1. The money left starts at £2,400 before any weeks have passed, so 2400 is the starting value. 2. Each week takes £180 away, so the rate of change is minus 180 pounds per week. 3. Putting those together gives money left equals 2400 minus 180 times the number of weeks. 4. Option A adds the spending instead of taking it away, which would make the savings grow. 5. So the rule is M = 2400 - 180w, option B. _Source: OpenStax College Algebra (CC BY 4.0), Ch 4 "Linear Functions", section 4.2 Modeling with Linear Functions_

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A retraining grant of £3,150 is drawn down at £225 a week. After how many weeks is the grant used up?

  1. After 18 weeks
  2. After 12 weeks
  3. After 16 weeks
  4. After 14 weeks
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Correct answer: D. After 14 weeks

1. Write the amount left as 3150 minus 225 times the number of weeks. 2. The grant is used up when the amount left is zero pounds. 3. So write 0 = 3150 - 225w and add 225w to both sides to get 225w = 3150. 4. Divide both sides by 225 pounds per week, which gives w = 14 weeks. 5. Check it: 225 pounds times 14 weeks is 3,150 pounds, exactly the grant. 6. Option B comes from dividing by 262.50 instead, a rounding of the weekly figure. 7. Option C comes from dividing 3,150 by 196.875, a third rounding of the weekly figure. 8. Option A comes from dividing 3,150 by 175, another rounded weekly figure. _Source: OpenStax College Algebra (CC BY 4.0), Ch 4 "Linear Functions", section 4.2 Modeling with Linear Functions_

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Linear Rules and Rates of Change