A ferry crosses a river in 28 minutes. If it leaves at 10:14, what time does it arrive? If the return trip takes 33 minutes and it leaves immediately, what time does it arrive back?
(2)
2
Explain why 0 is neither positive nor negative. Give one sentence as your explanation.
(2)
3
Complete the sequence counting through zero: -7, -4, -1, 2, __, __. Continue the pattern for two more terms.
(2)
4
A mountain hut is at 1,320 m above sea level. A valley nearby is at -85 m. What is the difference in height between the hut and the valley?
(2)
5
Write these numbers in order from largest to smallest: 450,000; 45,000; 4,500; 405,000.
(2)
6
A parking meter starts at 0 and goes down by 1 every hour. A car is parked for 7 hours. What number does the meter show at the end of the 7 hours?
(2)
7
Sofia says that when you round 555,499 to the nearest 10,000 you get 560,000. Explain whether she is correct and show your working.
(3)
8
The Roman numeral DCCXIV appears on the front of an old building. Write this number using digits.
(2)
9
Write 709,045 in words.
(1)
10
A particular year is written as the Roman numeral MCMXCV. Write this year as a number.
(2)
11
Start at 340,000 and count on in steps of 100,000. Write the next three numbers in the sequence.
(2)
12
Write < or > between these numbers: 583,204 ___ 583,240
(1)
13
A charity aims to raise £1,000,000. So far they have raised £986,450. How much more do they need to raise?
(2)
14
In the number 4,672,910 what is the value of the digit 7?
(1)
15
A lift is at floor -3 (three floors below ground level). It travels up 11 floors. What floor does it end on?
(2)
16
Noah says that when you round 2,449,999 to the nearest 100,000 you get 2,500,000. Explain whether Noah is correct and show your working.
(3)
17
What is 1,000 more than 253,489? What is 10,000 less than your answer?
(2)
18
A thermometer shows -3 degrees at 7 am and 5 degrees at 2 pm. By how many degrees did the temperature rise?
(2)
19
Place these numbers on a number line from smallest to largest: -12, 0, 5, -3, 12. Write them in order.
(2)
20
Round 346,799 to the nearest 1,000. Then round your answer to the nearest 10,000.
(2)
21
A shop had 12,450 pencils. They sold 3,275 pencils. How many pencils are left?
(2)
22
Write the smallest and largest 6-digit numbers you can make using the digits 4, 0, 8, 1, 9, 2 each once.
(2)
Mark scheme · 1.9 Place Value to 1000000 and Negative Numbers
Question 1
M1 correct time addition for outward trip
A1 10:42 and 11:15 cao
Answer: 10:42; 11:15
Question 2
M1 statement that 0 is the point between positive and negative numbers or has no sign
A1 clear reason, e.g. numbers greater than 0 are positive and less than 0 are negative, so 0 is neither cao
Answer: 0 is the boundary on a number line between positive and negative numbers, so it is neither positive nor negative.
Question 3
M1 recognition of pattern increasing by 3 each step
A1 5 and 8 cao
Answer: 5, 8
Question 4
M1 correct method using subtraction across zero, e.g. 1,320 + 85
A1 1,405 cao
Answer: 1,405
Question 5
M1 at least two numbers correctly placed or correct reasoning
A1 450,000; 405,000; 45,000; 4,500 cao
Answer: 450,000; 405,000; 45,000; 4,500
Question 6
M1 correct subtraction or counting through zero shown
A1 -7 cao
Answer: -7
Question 7
M1 shows rounding to nearest 10,000 with consideration of thousands digit (555,499 -> consider 5 in thousands)
M1 correct intermediate rounded to nearest 10,000 as 555,000 or explanation equivalent
A1 clear conclusion that Sofia is correct because 555,499 rounds to 560,000 cao
Answer: Sofia is correct; 555,499 rounded to the nearest 10,000 is 560,000.
Question 8
M1 correct breakdown seen: D = 500, CC = 200, X = 10, IV = 4
A1 714 cao
Answer: 714
Question 9
B1 seven hundred and nine thousand and forty-five oe
Answer: seven hundred and nine thousand and forty-five
Question 10
M1 correct breakdown seen: M = 1000, CM = 900, XC = 90, V = 5