Securing understanding of arithmetic procedures with integers and decimals | Maths

Starter quiz

Select all the integers.

36 ✓

3.6

0.36

360 ✓
Work out: 259 + 834 = ______

'1093' ✓
Match each symbol with the correct digit to complete the calculation.

Triangle

⇔

2 ✓

Square

⇔

6 ✓

Hexagon

⇔

4 ✓
Match each operation on the left to the equivalent operations on the right.

$\times4$

⇔

$\times2 \times2$ ✓

$\times8$

⇔

$\times2 \times2\times2$ ✓

$\div9$

⇔

$\div 3 \div 3$ ✓

$\div6$

⇔

$\div 2 \div 3$ ✓

$\div5$

⇔

$\div 10 \times 2$ ✓
Sam buys 6 boxes of chocolates. Each box costs £4.85. What is the total cost of the chocolates?

£19.40

£24.25

£29.10 ✓

£38.80
Five Oak students buy a pizza together. The pizza costs £15.80. They share the cost equally. How much should each student pay? £______

'3.16' ✓

A number is in decimal form when the decimal point is shown and there are ______ to the right of the decimal point.

'digits' ✓
Four students work out the answer to £496 200 + £35 900. Only one student is right. Without using a calculator, select the student who is correct.

Laura: £496 559

Lucas: £532 100 ✓

Sam: £40 862

Sofia: £855 200
Select the number that is closest to the answer to the calculation 37 143 − 8786.

28

280

2800

28 000 ✓

280 000
A pen costs £3.75. Use your calculator to work out the cost of 50 pens.

${\pounds375}\over{2}$

£18.75

£187.50 ✓

${\pounds18.75}\over{4}$
A café sells coffee for £2.89, hot chocolate for £2.20 and flapjacks for 85p. Work out the cost of 3 coffees, 2 hot chocolates and 5 flapjacks.

£16.63

£17.32 ✓

£55.57

£438.07
A banana costs 32p, a bunch of grapes costs £3.65 and a bag of apples costs £1.99. Lucas buys 8 bananas, 2 bunches of grapes and 2 bags of apples. How much change should he get from £20? £______

'6.16' ✓

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The decimal point determines the place value of each digit.
A calculator needs the decimal point to determine the place value of each digit.
A calculator produces the correct answer for the values inputted.
The answer can be checked to see if it appears too big or too small.

The assumption that if the calculator gives an answer then it must be correct!

It is really important to encourage pupils to both check calculator inputs carefully and consider the reasonableness of their answers.

Decimal form - A number is in decimal form when the decimal point is shown and there are digits to the right of the decimal point.