1.1 Place value and ordering numbers
9 exam questions worth 18 marks. Write your answer, open the mark scheme, then give yourself the marks you earned. Your answers are saved on this device.
0 / 18
What is the value of the digit 7 in the number 4.073?
Choose one answer.
Correct Not quite: the answer is 7 hundredths
Mark scheme
B: 7 hundredths
Model answer
7 hundredths (B). The first digit after the point is tenths (0), then hundredths (7).
Write these numbers in order, smallest first: 0.6, 0.059, 0.61, 0.5
Mark scheme
M1: attempt to compare with the same number of decimal places (0.600, 0.059, 0.610, 0.500); A1: 0.059, 0.5, 0.6, 0.61
Model answer
Writing them to three decimal places: 0.600, 0.059, 0.610, 0.500. In order: 0.059, 0.5, 0.6, 0.61.
Write these numbers in order, smallest first: -4, 3, -1.5, 0, -0.5
Mark scheme
M1: at least three in the correct order; A1: -4, -1.5, -0.5, 0, 3
Model answer
-4, -1.5, -0.5, 0, 3. Numbers further to the left on the number line are smaller.
Work out (a) 3.45 \times 100 (b) 7.2 \div 1000
Mark scheme
B1: 345; B1: 0.0072
Model answer
(a) 345 (the digits move two places left). (b) 0.0072 (the digits move three places right, with place-holder zeros).
Which of these statements is true?
Choose one answer.
Correct Not quite: the answer is -6 < -1
Mark scheme
C: -6 < -1
Model answer
-6 < -1 (C). -6 is to the left of -1 on the number line, so -6 < -1.
Write <, > or = in each space. (a) \frac{3}{4} ... 0.7 (b) -0.3 ... -0.03 (c) \frac{2}{5} ... 0.4
Mark scheme
B1: > ; B1: < ; B1: =
Model answer
(a) 3/4 = 0.75, so 3/4 > 0.7. (b) -0.3 is further left than -0.03, so -0.3 < -0.03. (c) 2/5 = 0.4, so they are equal (=).
List all the integers n that satisfy -3 \le n < 2.
Mark scheme
M1: at least three correct integers in the range; A1: -3, -2, -1, 0, 1 (no extras)
Model answer
-3, -2, -1, 0, 1. The value -3 is included but 2 is not.
The temperatures in five towns are -6 °C, 2 °C, -11 °C, 0 °C and -3.5 °C. (a) Which town is the coldest? (b) Work out the difference in temperature between the warmest and the coldest town.
Mark scheme
B1: -11 °C (coldest); M1: 2 - (-11); A1: 13 °C
Model answer
(a) -11 °C. (b) 2 - (-11) = 2 + 11 = 13 °C.
Hamid says, '0.35 is bigger than 0.4 because 35 is bigger than 4.' Explain why Hamid is wrong.
Mark scheme
B1: compare tenths / place value (4 tenths is more than 3 tenths); B1: 0.4 = 0.40 which is greater than 0.35 / 40 hundredths > 35 hundredths
Model answer
Decimals must be compared column by column from the left. 0.4 has 4 tenths and 0.35 has only 3 tenths, so 0.4 is bigger. Writing 0.4 as 0.40 shows 40 hundredths is more than 35 hundredths.
Found a mistake?