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Stage 8 - Q1 - 2 marks
17997

Insert <, > or =.

\[-2.14\quad\square\quad-2.146\]
Hint

Line up the place values or convert both measurements into one unit.

Stage 8 - Q2 - 2 marks
17998

Insert <, > or =.

\[2.25\quad\square\quad2.256\]
Hint

Line up the place values or convert both measurements into one unit.

Stage 8 - Q3 - 3 marks
17999

Order from smallest to greatest.

\[0.27,\ 0.18,\ 0.209,\ 0.2,\ 0.1\]
Hint

Line up the place values or convert both measurements into one unit.

Stage 8 - Q4 - 3 marks
18000

Order from smallest to greatest.

\[1.37,\ 1.28,\ 1.309,\ 1.3,\ 1.2\]
Hint

Line up the place values or convert both measurements into one unit.

Stage 8 - Q5 - 4 marks
18001

Compare 18 cm and 183 mm. State which is longer and the difference in millimetres.

Hint

Line up the place values or convert both measurements into one unit.

Stage 8 - Q6 - 4 marks
18002

Compare 19.1 cm and 194 mm. State which is longer and the difference in millimetres.

Hint

Line up the place values or convert both measurements into one unit.

Stage 8 - Q7 - 5 marks
18003

Order 1.07 m, 1065 mm and 107.2 cm from shortest to longest. Give all values in millimetres.

Hint

Use a common unit before comparing decimal strings.

Stage 8 - Q8 - 5 marks
18004

Find every three-decimal-place value strictly between -0.304 and -0.299.

Hint

A value closer to zero is greater when both numbers are negative.

Stage 8 - Q9 - 5 marks
18005

A digit d makes both inequalities true: \(2.4d>2.46\) and \(2.d4<2.84\). Find all possible digits.

Hint

Compare the first differing digit in each inequality.

Stage 8 - Q10 - 5 marks
18006

Use the digits 1, 2, 3, 4 exactly once to make two positive decimals of the form a.b and c.d. Find the smallest positive difference possible and justify it.

Hint

To minimise the difference, use adjacent units and oppose the tenths difference.

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