Maths foundation

• How many packs of pencils are needed to match 40 pens?

  Eight packs of pencils
• What method is used to find the lowest common multiple of 15 and 40?

  Listing their times tables
• What is the highest common factor of 72 and 90?

  18
• How do you represent the inequality on a number line?

  Draw circles and shade appropriately
• What is the cost of the washing machine?

  £640 plus VAT
• How much does James pay per month for the washing machine?

  £70 per month
• How do you calculate the original price after a 20% reduction?

  Identify the sale price as 80% of original
• What is the original price of the mobile phone after a 20% reduction to £500?

  £625
• How do you find the value of a house before a 3% increase?

  Identify the increase as 3% of original
• What was the value of the house before the increase of £7,500?

  £250,000
• How much is in the account after two years with £800 at 1.5% simple interest?

  £824
• How do you calculate simple interest for two years?

  Multiply annual interest by two
• What is the rounding result of 6.32 to one significant figure?


  6
• What is the result of dividing 42 by 0.5?

  84
• What is the result of adding 12 to 812?

  824
• How can you calculate the interest earned from a principal amount?

  Multiply by 0.015 for the interest
• How do you round 6.32 to one significant figure?

  6
• What is 6.51 rounded to one significant figure?


  7
• What is 0.503 rounded to one significant figure?

  0.5
• What happens when you divide by 0.5?

  It doubles your answer
• What is the formula for calculating compound interest?

  Principal × (1 + rate)^time
• How much interest does James earn in the first year from £4000 at 3%?

  £120
• What is the total amount James has after the first year?

  £4120
• How much interest does James earn in the second year from £4120 at 3%?

  £123.60
• What is the total amount James has after two years?

  £4243.60
• What does depreciation mean in the context of a car's value?

  It falls in value over time
• What is the value of a car after one year if it depreciates by 20% from £4000?

  £3200
• What is the value of the car after two years of depreciation?

  £2560
• What is the value of the car after three years of depreciation?

  £2048
• How can you calculate depreciation without a calculator?

  Subtract the percentage from the current value
• What is the process for multiplying fractions?

  Multiply the numerators and denominators
• What is the simplified form of $\frac{3}{4} \times \frac{2}{3}$?


  $\frac{1}{2}$
• How do you divide fractions?

  Keep the first, flip the second, multiply
• What is the result of $\frac{10}{9} \div \frac{2}{5}$?


  <latex{1 \frac{1}{9}}</latex>
• What is the common denominator for $\frac{7}{4} +$$\frac{2}{3}$?


  12
• What is the result of $\frac{7}{4} +$$\frac{2}{3}$?


  <latex{2 \frac{5}{12}}</latex>
• How do you find the total number of counters if two-fifths are blue and 18 are blue?

  Set up the equation 2/5 = 18
• What is the total number of counters in the bag?

  45
• How do you write a number in standard form?

  Make it between 1 and 10, times 10^n
• What is 5600 in standard form?

  5.6 × 10^3