Problem solving with fractions and decimals | Maths | Quizalize & Oak National Academy

Starter quiz

Two fractions are ______ if they have the same value.
- 'equivalent' ✓
Andeep writes down the number 0.99 Select all the numbers below that are greater than Andeep's number.
- 0.98
- 0.99
- 0.909
- 0.991 ✓
I am rolling a six sided dice and filling in two grids. Select the numbers that can replace $a$ so that the number in the first grid will be less than the number in the second grid.
- 2 ✓
- 3 ✓
- 4 ✓
- 5
- 6
I am rolling a six sided dice and filling in two grids. If $a$ = 5, which of the following numbers can replace $b$ so that the second number is less?
- 2 ✓
- 3 ✓
- 4 ✓
- 5
- 6
What fraction is halfway between $\frac{8}{11}$ and $\frac{10}{11}$ ?
- $\frac{9}{22}$
- $\frac{99}{121}$ ✓
- $\frac{153}{187}$ ✓
- $\frac{104}{143}$
What fraction is halfway between $\frac{4}{7}$ and $1$ ?
- $\frac{8}{14}$
- $\frac{9}{14}$
- $\frac{10}{14}$
- $\frac{11}{14}$ ✓
- $\frac{12}{14}$

______ is a part to whole (sometimes part to part) comparison.
- 'Proportion' ✓
To compare $\frac{1}{2}, \frac{2}{3}, \frac{3}{4}$ and $\frac{5}{6}$ which common denominator would be the most efficient?
- $6$
- $8$
- $12$ ✓
- $24$
Izzy, Andeep, Lucas, Alex and Sam took part in a quiz. Below are the proportions for how many questions they each got right. Order them from worst to best.
- 1
  
  ⇔
  
  Alex $\frac{17}{30}$
- 2
  
  ⇔
  
  Lucas $\frac{3}{5}$
- 3
  
  ⇔
  
  Izzy $\frac{2}{3}$
- 4
  
  ⇔
  
  Andeep $\frac{11}{15}$
- 5
  
  ⇔
  
  Sam $\frac{9}{10}$
Jacob buys a drink and an ice cream. He also wants to buy a cupcake. He has £5. Can he afford to buy the cupcake?
- Yes - he has £2.51 left to spend which is more than enough
- Yes - he has exactly £1.58 left to spend which is the cost of the cupcake
- No - he has spent £4.49
- No - he has £1.51 left to spend which is not enough ✓
Which item is the third most expensive?
- cupcake
- apple
- ice cream
- banana
- drink ✓
A rectangle has a length of $0.82$ m and a width of $\frac{2}{5}$ m. What is the perimeter of the rectangle? Give your answer in decimal form.
- '2.44 m' ✓

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Fractions can be used to solve problems in context.
Converting to decimals may be useful to solve problems in context.
It may be necessary to order a set of fractions and decimals to solve problems in context.
Fractions and decimals can be useful in solving in many real world problems.

Assuming that there are 100 minutes in an hour and converting 3.25 hours to 3 hours 25 minutes.

Start with half an hour, pupils should be happy that half an hour is 30 mins, show it written as a decimal to highlight it's not 3.3 hours

Improper fraction - An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Proportion - Proportion is a part to whole (sometimes part to part) comparison.