maths calc

• How do you convert 450 cm into meters?

  Divide by 100 to get 4.5 m
• What is the simplified form of $3F +$$5F - F$?


  It simplifies to $7F$
• How do you calculate 10% of 540 without a calculator?

  Divide 540 by 10 to get 54
• What is the result of $10\% \times 540$?


  The result is 54
• What is a multiple of 7 between 40 and 50?

  42 or 49
• What is $2.5^2$ as a fraction and decimal?


  As a fraction, it's $\frac{25}{4}$ and as a decimal, it's 6.25
• If a film starts at 7:55 p.m. and lasts 88 minutes, what time does it finish?

  The film finishes at 9:23 p.m.
• How do you calculate the cost of a six-mile taxi journey if the fare is £150 plus £2.25 per mile?

  The cost is £150 plus $2.25 \times 6$
• What is the total number of counters if there are 7 red, 2 blue, 5 yellow, and 3 green counters?

  The total is 17 counters.
• What is the probability of randomly selecting a green counter from a total of 17 counters with 3 being green?

  The probability is $\frac{3}{17}$
• What is the probability of selecting a counter that is not blue if there are 2 blue counters out of 17 total counters?

  The probability is $\frac{15}{17}$
• If Felicity has 119 sweets in total and bag C has 35 sweets, how many sweets are in bag A?

  There are 42 sweets in bag A.
• What is the formula for calculating the area of a triangle?

  The area is $\frac{1}{2} \times \text{base} \times \text{height}$
• What is the area of a triangle with a base of 4 cm and a height of 6 cm?

  The area is 12 cm².
• What is the mathematical name for a shape with two sets of parallel lines?

  It is called a parallelogram.
• What is the area of a parallelogram with a base of 3 cm and a height of 5 cm?

  The area is 15 cm².
• How do you calculate $3\frac{1}{8} \text{ of } 140$?


  Calculate it as $3 \times \frac{140}{8} =$$52.5$
• How can you order fractions by size?

  You can convert them to decimals or make their denominators the same.
• What is the first term of a sequence that starts at 17 and adds 4 each time?

  The first term is 17.
• Is 92 a number in the sequence that starts at 17 and adds 4 each time? Give a reason.

  No, because all numbers in the sequence are odd.
• How do you calculate 72% of 75 marks?

  Calculate it as $0.72 \times 75 =$$54$
• How do you enlarge a shape by a scale factor of 1.5 centered at the origin?

  Multiply each coordinate by 1.5.
• How do you convert 10 liters to pints using a conversion graph?

  Find the corresponding value on the graph, which is 17.5 pints.
• How do you convert 90 pints to liters using a conversion graph?

  Calculate it as $30 \text{ pints} =$$17 \text{ liters} \Rightarrow 90 \text{ pints} =$$51 \text{ liters}$
• How do you draw a pie chart based on car colors in a car park?

  Add up the total number of cars and calculate the angle for each color.
• What is the process for calculating angles for a pie chart?

  • Add up the total frequency.
  • Calculate the angle for each category using the formula: $\text{Angle} =$$\left(\frac{\text{Frequency}}{\text{Total Frequency}}\right) \times 360$.
• What is the final answer for the conversion of 90 pints to liters?

  51 liters
• How do you convert pints to liters in this context?

  By determining that 30 pints equals 17 liters and multiplying by three
• What is the total number of cars in the car park according to the table?

  60 cars
• What are the steps to draw an accurate pie chart?

  1. Add up the total frequency.
  2. Calculate the angle for each color using the formula: angle = (frequency/total) * 360.
  3. Use a protractor to measure and draw the angles.
• What is the angle for black in the pie chart?

  144 degrees
• What is the angle for silver in the pie chart?

  96 degrees
• What is the angle for white in the pie chart?

  90 degrees
• What is the angle for blue in the pie chart?

  30 degrees
• How do you find the real area of the field from the scale drawing?

  By measuring the length and width on the drawing and converting to real-life dimensions
• What is the real-life length represented by 9 cm on the drawing?

  49.5 m
• If the width on the drawing is 4 cm, what is the real-life width?

  22 m
• What is the formula for calculating the area of a rectangle?

  Area = length × width
• What is the area of the field in square meters?

  1,089 m²
• What does factorizing mean?

  Putting an expression into brackets