NATIONAL CURRICULUM National Curriculum (2014) Mathematics - KS2 Number: Place Value to 10,000,000, Rounding, Negative Numbers, Powers of 10 · Calculators not allowed · about 50 minutes
Write the number that is 10,000 more than 3,456,789.
(1)
6
Order these numbers, smallest to largest: 5,406,732 5,460,732 5,046,732 5,604,732
(2)
7
Write <, > or = between each pair of numbers.
(a)2,098,431 ___ 2,100,000(1)
(b)6,750,000 ___ 675 x 10,000(1)
8
The table shows the number of visitors to four fictional UK attractions in one year: Bramble Adventure Park 1,847,203; Thornbury Fun Fair 1,847,320; Oakenshaw Wonderland 1,748,320; Millfield Gardens 1,784,203.
(a)Order the four attractions from fewest to most visitors.(2)
(b)How many more visitors did Thornbury Fun Fair have than Bramble Adventure Park?(1)
9
Round 6,384,752 to the nearest:
(a)100,000(1)
(b)1,000,000(1)
10
Round 2,957,438 to the nearest:
(a)10(1)
(b)1,000(1)
11
A crowdfunding campaign for a new community library has raised 2,847,650 pounds so far.
(a)Round 2,847,650 pounds to the nearest 100,000 pounds.(1)
(b)Round 2,847,650 pounds to the nearest 10,000 pounds.(1)
(c)The campaign's target is 3,000,000 pounds. Using your rounded answer to part a, estimate how much more money is needed to reach the target.(1)
12
A whole number rounds to 5,300,000 when rounded to the nearest 100,000. Give the smallest and the largest number it could have been.
(2)
13
James says: 'When you round 6,499,999 to the nearest million, the answer is 6,000,000.' Is James correct? Explain your answer.
(2)
14
Order these temperatures from coldest to warmest: -8C, 3C, -15C, 0C, -2C, 6C
(1)
15
The temperature in Aviemore at midnight was -6C.
(a)By 9am the temperature had risen by 9 degrees. What was the temperature at 9am?(1)
(b)By midday the temperature had fallen by 11 degrees from the midnight temperature. What was the temperature at midday?(1)
16
Work out the difference between each pair of numbers.
(a)-23 and 14(1)
(b)-8 and -35(1)
17
A lift in a shopping centre stops at every floor from -3 (the car park) up to 5 (the roof terrace).
(a)Neha gets in the lift at floor -2 and travels up 6 floors. Which floor does she arrive at?(1)
(b)How many floors does the lift stop at altogether, including floor 0?(1)
(c)Ibrahim is at floor -3 and travels to floor 5. How many floors upward does he travel?(1)
18
Work out:
(a)4.6 x 100(1)
(b)3,200 / 1000(1)
(c)0.07 x 10,000(1)
(d)85,000 / 100(1)
19
Use inverse operations to find the missing number.
(a)A number is multiplied by 1000. The result is 45,000. What was the original number?(1)
(b)A different number is divided by 100. The result is 0.6. What was the original number?(1)
20
A song was streamed 8,463,927 times in one week.
(a)Round 8,463,927 to the nearest 10,000.(1)
(b)Write the value of the digit 4 in 8,463,927.(1)
(c)The following week, the number of streams fell by exactly 100,000. Write the new total as a figure.(1)
(d)The record label estimates earnings of 2 pounds for every 1000 streams. Using your rounded answer to part a, estimate the label's total earnings from the song that week.(2)
Mark scheme · KS2.M-PV2 Place Value and Number Depth
Question 1
B1 800,000 oe (accept eight hundred thousand)
Answer: 800,000
Question 2
B1 9,040,603 cao
Answer: 9,040,603
Question 3
(a) B1 two million, three hundred thousand and fifty oe (accept without 'and')
(a) Answer: two million, three hundred thousand and fifty
(b) B1 six million, eight thousand, four hundred oe
(b) Answer: six million, eight thousand, four hundred
Question 4
(a) B1 4,000,000 cao
(a) Answer: 4,000,000
(b) B1 50,000 cao
(b) Answer: 50,000
Question 5
B1 3,466,789 cao
Answer: 3,466,789
Question 6
M1 correctly compares the hundred-thousands and ten-thousands digits to place at least 3 of the 4 numbers correctly
A1 5,046,732, 5,406,732, 5,460,732, 5,604,732 cao, all four in the correct order