Place value & ordering numbers

Here are some temperatures in °C. –3 5 –6 7 2 Write the temperatures in order. Start with the lowest temperature.

Write these numbers in order of size. Start with the smallest number. 0.57 0.507 0.5 0.05

Aisha has two boxes of sweets, box A and box B. In box A, there are only 10 red sweets and 30 green sweets. In box B, there are only 7 red sweets and 18 green sweets. Aisha is going to take at random a sweet from box A and a sweet from box B. Which box gives Aisha the greater probability of taking a red sweet, box A or box B? You must show how you get your answer.

Write the following numbers in order. Start with the lowest number. −3 4 −7 6 0

Write these numbers in order of size. Start with the smallest number. 0.21 0.2 0.03 0.1 0.16

Write the following numbers in order. Start with the lowest number. 4 –3 7 2 –1

Write the following fractions in order of size. Start with the smallest fraction.

Write down a number that is less than –5

Write the following numbers in order of size. Start with the smallest number.

Here is a list of numbers. 1.6 1.4 2.1 0.5 1.3 From the list, write down the smallest number.

Here is a fair ordinary dice and a fair 8-sided spinner.

Charlie throws the dice once and spins the spinner once. Is Charlie more likely to get a number less than 3 on the dice or a number greater than 5 on the spinner? You must show all your working.

23–2 ≤ n < 5 n is an integer.

Write down the greatest possible value of n.

On the number line below, show the inequality –4 m < 1

4 –2 ≤ n < 5 n is an integer.

Write down the greatest possible value of n.

On the number line below, show the inequality –4 m < 1

5 7 –5 3 9 –2 Write these numbers in order of size. Start with the smallest number.

Write (910⁴): (4.510⁶) in the form 1:n where n is an integer.

Write the following numbers in order of size. Start with the smallest number.

Write the following numbers in order of size. Start with the smallest number. −7 7 0 −2 −1

Write the following fractions in order of size. Start with the smallest fraction.

Write the following numbers in order of size. Start with the smallest number. 0.41 0.5 0.46 0.408

Write these numbers in order of size. Start with the smallest number.

Write the following numbers in order of size. Start with the smallest number. −11 −2 8 −7 3 10

The box below contains three mathematical symbols.

From the box, choose a symbol to make each of the following statements correct.

−2 × −3_........ −3 + 9

Write the following numbers in order of size. Start with the smallest number. 8 –7 –10 1 0 –2

Write the following numbers in order of size. Start with the smallest number. 1.02 0.12 1.20 0.21

Write the following fractions in order of size. Start with the smallest fraction.

Write the following numbers in order of size. Start with the smallest number. 0.32 0.4 0.35 0.309

Write these numbers in order of size. Start with the smallest number.

Write these numbers in order of size. Start with the smallest number.

Write the following numbers in order of size. Start with the smallest number. 1 − 4 0 7 − 6 − 3 2

Write the following fractions in order of size. Start with the smallest fraction.

Write the following numbers in order of size. Start with the smallest number. –3 4 0 –1 2

Here are three symbols.

Write one of these symbols in each box to make four true statements.

Four biased coins, A, B, C and D are thrown. The probability that each coin will land on Heads is shown in the table.

Which coin is least likely to land on Heads?

Which coin is most likely to land on Heads?

Julie says, “The probability that coin C will land on Heads is the same as the probability that coin C will land on Tails.”

Is she correct? Give a reason for your answer.

Coin B is going to be thrown 4000 times.

Work out an estimate for the number of times coin B will land on Heads.

Write the following numbers in order of size. Start with the smallest number.

0.4 0.02 0.37 0.152 0.2

Here are four fractions.

Write the fractions in order of size. Start with the smallest fraction.

Write the following numbers in order of size. Start with the smallest number.

−6 6 −5 0 12

Write the following numbers in order of size. Start with the smallest number.

0.078 0.78 0.87 0.708

Here are four digits.

7 3 4 9

Use three of these digits to write down the largest possible 3-digit number.

Here are four different digits.

8 2 1 6

Put one of these digits in each box to give the smallest possible answer to the sum. You must use each digit only once.

Here are two fractions.

Work out which of the fractions is closer to 1 You must show all your working.

Solve 4(x – 5) = 18

−3 t ≤ 2 t is an integer.

Write down all the possible values of t.

The table shows the lengths of five rivers.

Write down the rivers in order of length.

Start with the shortest river.

Ami says,

“The River Thames is more than three times as long as the River Don.”

Show that Ami is correct.

Here are four digits.

5 6 1 9

Write down the smallest possible two digit number that can be made with two of the digits.

Write down the three digit number closest to 200 that can be made with three of the digits.