Functional Skills Qualifications Functional Skills Maths — Measures, Shape and Space Syllabus

Functional Skills Maths — Measures, Shape and Space syllabus — full chapter and topic list

Expand any chapter to see its topics and sub-topics. This is the whole examinable outline for Functional Skills Maths — Measures, Shape and Space in Functional Skills Qualifications, not a summary of it.

1. 1

   Money and Time

   3 topics

   • Calculating with money
     • Adding costs, giving change and budgeting
     • Wages, deductions and discounts
     • Comparing offers and value for money
   • Working with time
     • 12-hour and 24-hour clock
     • Calculating durations and elapsed time
     • Reading and using timetables
   • Calendars, dates and scheduling
2. 2

   Measurement and Units

   4 topics

   • Length, mass and capacity
     • Metric units and their relationships
     • Converting between metric units
     • Reading scales and dials
   • Metric and imperial conversions
     • Common everyday conversions (miles/km, litres/pints)
   • Compound measures
     • Speed, distance and time
     • Density and rates of use
   • Temperature in everyday contexts
3. 3

   Perimeter, Area and Volume

   3 topics

   • Perimeter of 2D shapes
     • Rectangles, triangles and composite shapes
   • Area of 2D shapes
     • Area of rectangles, triangles and circles
     • Area of compound shapes
   • Volume of 3D shapes
     • Volume of cubes and cuboids
     • Capacity in practical contexts
4. 4

   Properties of Shapes and Position

   4 topics

   • 2D and 3D shapes and their properties
     • Naming shapes and counting faces, edges, vertices
     • Symmetry and regular shapes
   • Angles
     • Types of angle and measuring with a protractor
     • Angles on a line and around a point
   • Coordinates and grid references
   • Plans, elevations and nets

Functional Skills Maths — Measures, Shape and Space flashcards for Functional Skills Qualifications

22 of 50 cards from the Functional Skills Maths — Measures, Shape and Space deck — real questions with worked answers.

1. How many pence are there in £1, and how do you convert £3.45 into pence?

   There are 100 pence in £1. To convert pounds to pence, multiply by 100: $£3.45 \times 100 = 345\text{p}$.

2. When writing an amount of money in pounds, how many decimal places should you use, and how would you write 7 pounds and 5 pence?

   Always use 2 decimal places for pounds. Seven pounds and five pence is written as $£7.05$ (the zero is needed as a placeholder).

3. A shop sells pens at £1.29 each. What is the total cost of 6 pens?

   Multiply the price by the quantity: $£1.29 \times 6 = £7.74$.

4. You pay for a £6.40 item with a £10 note. How much change should you receive?

   Subtract the cost from the amount paid: $£10.00 - £6.40 = £3.60$.

5. How do you calculate the price of an item after a 20% discount, if the original price is £45?

   Find 20% of £45 and subtract it: $0.20 \times 45 = £9$, so the sale price is $£45 - £9 = £36$. Alternatively multiply by $0.80$: $45 \times 0.80 = £36$.

6. How many minutes are in 1 hour, and how many seconds are in 1 minute?

   There are 60 minutes in 1 hour and 60 seconds in 1 minute (so $60 \times 60 = 3600$ seconds in an hour).

7. How do you convert the 12-hour time 3:45 pm into 24-hour clock format?

   For pm times (except 12 pm), add 12 to the hour: $3 + 12 = 15$, giving $15{:}45$.

8. How do you convert the 24-hour time 08:20 into 12-hour clock format?

   Times from 00:00 to 11:59 are am. So $08{:}20$ becomes $8{:}20\text{ am}$. (00:xx is 12:xx am.)

9. A film starts at 19:50 and lasts 2 hours 35 minutes. What time does it finish?

   Add the duration: 19:50 + 2 h = 21:50, then + 35 min = 22:25. The film finishes at $22{:}25$.

10. Why can't you simply use a calculator's decimal subtraction to find the time difference between 2:50 and 4:20?

    Time is in base 60, not base 10. Count up instead: 2:50 to 3:00 is 10 min, then 3:00 to 4:20 is 1 h 20 min, total $1\text{ h } 30\text{ min}$.

11. How many days are in each month of the year (the rhyme/rule)?

    30 days have September, April, June and November; all the rest have 31, except February which has 28 (29 in a leap year).

12. What is a leap year and how do you identify one?

    A leap year has 366 days (February has 29). It occurs when the year is divisible by 4 (e.g. 2024, 2028); century years must be divisible by 400.

13. How many weeks are in a year, and how many days in a week?

    There are 52 weeks (and 1 extra day) in a year, and 7 days in a week ($52 \times 7 = 364$).

14. If 14 March is a Tuesday, what day of the week is 28 March?

    28 - 14 = 14 days later, which is exactly $14 \div 7 = 2$ whole weeks, so 28 March is also a Tuesday.

15. How many days are there from 28 February to 5 March (not a leap year), counting the days in between?

    Feb has 28 days. From 28 Feb: 1, 2, 3, 4, 5 March = 5 days later. The difference is $5$ days.

16. List the metric units of length from smallest to largest: mm, cm, m, km, and give their relationships.

    $10\text{ mm} = 1\text{ cm}$, $100\text{ cm} = 1\text{ m}$, $1000\text{ m} = 1\text{ km}$. Also $1000\text{ mm} = 1\text{ m}$.

17. What are the metric relationships between grams, kilograms and tonnes?

    $1000\text{ g} = 1\text{ kg}$ and $1000\text{ kg} = 1\text{ tonne}$.

18. How many millilitres are in 1 litre, and how many litres in 1 centilitre relationship?

    $1000\text{ ml} = 1\text{ litre}$ and $100\text{ cl} = 1\text{ litre}$ (so $1\text{ cl} = 10\text{ ml}$).

19. How do you convert 2.5 km into metres?

    Multiply by 1000 because there are 1000 m in a km: $2.5 \times 1000 = 2500\text{ m}$.

20. How do you convert 750 g into kilograms?

    Divide by 1000: $750 \div 1000 = 0.75\text{ kg}$.

21. What is the approximate metric equivalent of 1 inch and 1 foot?

    $1\text{ inch} \approx 2.5\text{ cm}$ and $1\text{ foot} \approx 30\text{ cm}$ (a foot is 12 inches).

22. What is the approximate conversion between miles and kilometres?

    $5\text{ miles} \approx 8\text{ km}$ (so $1\text{ mile} \approx 1.6\text{ km}$). To go miles to km multiply by 1.6.

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