The table shows the number of tickets sold for three concerts. Manchester 308,540 Bristol 27,916 Glasgow 194,065
(a)Write down the value of the digit 8 in the number of tickets sold in Manchester.(1)
(b)Write down the value of the digit 9 in the number of tickets sold in Glasgow.(1)
(c)Which venue sold the most tickets?(1)
(Total for Question 1 is 3 marks)
2
A sprinter's time for the 100 metres was 9.58 seconds.
(a)Write down the value of the digit 5 in 9.58.(1)
(b)Write 9.58 in words.(1)
(Total for Question 2 is 2 marks)
3
Using each of the digits 3, 0, 6 and 8 exactly once,
(a)write down the largest possible 4-digit number.(1)
(b)write down the smallest possible 4-digit number (it must not start with 0).(1)
(Total for Question 3 is 2 marks)
4
The length of a fun run at a village fete was 4,382 metres.
(a)Round 4,382 to the nearest 10.(1)
(b)Round 4,382 to the nearest 1000.(1)
(Total for Question 4 is 2 marks)
5
A marathon had 24,517 runners registered to take part.
(a)Round 24,517 to the nearest 1000.(1)
(b)Round 24,517 to the nearest 10,000.(1)
(Total for Question 5 is 2 marks)
6
Work out the answer to each calculation.
(a)4.6 x 100(1)
(b)930 / 10(1)
(c)0.52 x 1000(1)
(d)7200 / 100(1)
(Total for Question 6 is 4 marks)
7
Each calculation involves multiplying or dividing by 10, 100 or 1000. Work out the missing number in each.
(a)3.2 x ___ = 320(1)
(b)5600 / ___ = 5.6(1)
(Total for Question 7 is 2 marks)
8
This question is about rounding to a given number of significant figures.
(a)Round 6,472 to 1 significant figure.(1)
(b)Round 6,472 to 2 significant figures.(1)
(c)Round 0.0368 to 1 significant figure.(1)
(Total for Question 8 is 3 marks)
9
Here are the bank balances, in pounds, of five friends: Jamal +85 Priya -40 Callum -120 Erin +15 Oliwia -65
(a)Write down these balances in order, starting with the most overdrawn (the lowest).(1)
(b)Work out the total of all five balances.(2)
(Total for Question 9 is 3 marks)
10
Insert the correct symbol, < , > or = , between each pair of numbers.
(a)0.407 ___ 0.47(1)
(b)-15 ___ -9(1)
(c)5.20 ___ 5.2(1)
(Total for Question 10 is 3 marks)
11
The diagram shows a thermometer used to record the outdoor temperature one morning in January. Write down the temperature shown by the arrow.
(Total for Question 11 is 1 mark)
12
Circle the number that rounds to 500 when rounded to the nearest 100.
A) 449
B) 452
C) 561
D) 348
(Total for Question 12 is 1 mark)
13
Freddie rounds 3.65 to 1 decimal place. He writes down 3.6. Explain why Freddie is wrong, and give the correct answer.
(Total for Question 13 is 2 marks)
14
Chidi says that in the number 60,802 the digit 8 has a value of 8000. Explain the mistake Chidi has made, and write down the correct value of the digit 8.
(Total for Question 14 is 2 marks)
15
Amir says that rounding 6,482 to the nearest 1000 gives the same answer as rounding 6,482 to 1 significant figure. Show that Amir is correct.
(Total for Question 15 is 2 marks)
16
A market trader has 197 boxes of apples. Each box holds 48 apples. By rounding each number to 1 significant figure, work out an estimate for the total number of apples.
(Total for Question 16 is 3 marks)
17
This question is about converting units of mass using place value.
(a)A parcel has a mass of 3.6 kg. Write this mass in grams.(1)
(b)A second parcel has a mass of 275 g. Write this mass in kilograms.(1)
(Total for Question 17 is 2 marks)
18
Nadia has 50 pounds to spend at a farm shop. She wants to buy three items costing 12.85 pounds, 9.40 pounds and 18.30 pounds. By rounding each price to the nearest pound, estimate whether Nadia has enough money, and if so, roughly how much change she would get.
(Total for Question 18 is 3 marks)
19
A whole number, when rounded to the nearest 1000, is 8000.
(a)Write down the smallest possible value of the number.(1)
(b)Write down the largest possible value of the number.(1)
(Total for Question 19 is 2 marks)
20
A charity trust manages a fund worth 2,456,780 pounds. A local group receives a grant equal to one thousandth (1/1000) of the fund, rounded to the nearest 10 pounds. Work out the amount of the grant.
(Total for Question 20 is 3 marks)
Mark scheme · 1.6B Place Value (Part 2)
Question 1
(a) B1 8000 oe (eight thousand)
(a) Answer: 8000
(b) B1 90000 oe (ninety thousand)
(b) Answer: 90,000
(c) B1 Manchester cao
(c) Answer: Manchester
Question 2
(a) B1 0.5 oe (5 tenths)
(a) Answer: 0.5 (5 tenths)
(b) B1 nine point five eight oe
(b) Answer: Nine point five eight
Question 3
(a) B1 8630 cao
(a) Answer: 8630
(b) B1 3068 cao
(b) Answer: 3068
Question 4
(a) B1 4380 cao
(a) Answer: 4380
(b) B1 4000 cao
(b) Answer: 4000
Question 5
(a) B1 25000 cao
(a) Answer: 25,000
(b) B1 20000 cao
(b) Answer: 20,000
Question 6
(a) B1 460 cao
(a) Answer: 460
(b) B1 93 cao
(b) Answer: 93
(c) B1 520 cao
(c) Answer: 520
(d) B1 72 cao
(d) Answer: 72
Question 7
(a) B1 100 cao
(a) Answer: 100
(b) B1 1000 cao
(b) Answer: 1000
Question 8
(a) B1 6000 cao
(a) Answer: 6000
(b) B1 6500 cao
(b) Answer: 6500
(c) B1 0.04 cao
(c) Answer: 0.04
Question 9
(a) B1 -120, -65, -40, 15, 85 cao
(a) Answer: -120, -65, -40, +15, +85
(b) M1 attempts to add all five balances with correct signs oe
(b) A1 -125 (pounds) cao
(b) Answer: -GBP125
Question 10
(a) B1 < cao
(a) Answer: <
(b) B1 < cao
(b) Answer: <
(c) B1 = cao
(c) Answer: =
Question 11
B1 -2 (degrees C) cao
Answer: -2 degrees C
Question 12
B1 B (452) cao
Answer: B) 452
Question 13
B1 correct explanation that Freddie has rounded down when the hundredths digit (5) should round the tenths digit up oe
B1 3.7 cao
Answer: Freddie is wrong; the correct answer is 3.7. The digit after the tenths column is 5, so the tenths digit should round up, not stay the same.
Question 14
B1 correct explanation that Chidi has used the wrong column (the digit 8 is in the hundreds column, not the thousands column) oe
B1 800 cao
Answer: Chidi is wrong; the digit 8 has a value of 800, not 8000, because it is in the hundreds column.
Question 15
M1 rounds 6482 to the nearest 1000 to get 6000 oe
C1 rounds 6482 to 1 significant figure to get 6000 and concludes the two methods agree cso
Answer: Both methods give 6000, so Amir is correct.
Question 16
M1 rounds 197 to 200 and 48 to 50 oe
M1 dep multiplies the two rounded values
A1 10000 cao, ft from correctly rounded values
Answer: 10,000 apples (estimate)
Question 17
(a) B1 3600 (g) cao
(a) Answer: 3600 g
(b) B1 0.275 (kg) cao
(b) Answer: 0.275 kg
Question 18
M1 rounds each price correctly to the nearest pound: 13, 9, 18 oe
M1 dep adds the three rounded prices and subtracts the total from 50
A1 yes, enough money, roughly 10 (pounds) change cao, ft from correctly rounded values
Answer: Yes; an estimated total of GBP40 leaves about GBP10 change.