The Robert Smyth School
Mathematics Faculty
Innovation & excellence
Topic 7
Powers & Roots Rev1
Topic 7 (foundation) – Revision on Powers & Roots
1.
Kim is making some four digit numbers.
Each number contains all the digits 3, 8, 2 and 4.
(a)
Write down the smallest number Kim can make.
......................................................................................................................................
Answer .........................................................................
(1)
(b)
Write down the largest odd number Kim can make.
......................................................................................................................................
Answer .........................................................................
(2)
2.
Eileen is making some four-digit numbers.
Each number contains all the digits 7, 4, 9 and 1.
(a)
Write down the smallest four-digit number Eileen can make.
......................................................................................................................................
Answer .........................................................................
(1)
(b)
Write down the largest four-digit even number Eileen can make.
......................................................................................................................................
Answer .........................................................................
(2)
(c)
Round your answer to part (b) to the nearest 100.
......................................................................................................................................
Answer .........................................................................
(1)
3.
(a)
Calculate
9.61
......................................................................................................................................
Answer .........................................................................
(1)
(b)
Calculate
9.61  2.9 2
......................................................................................................................................
Answer .........................................................................
(1)
The Robert Smyth School
1
The Robert Smyth School
Mathematics Faculty
4.
(a)
Innovation & excellence
Topic 7
Powers & Roots Rev1
Write down two multiples of 4.
Answer .............................. and .................................
(1)
(b)
Write down two multiples of 7.
Answer .............................. and .................................
(1)
(c)
Write down a number which is a multiple of both 4 and 7.
Answer .........................................................................
(1)
5.
(a)
Find the square of 27.5
.....................................................................................................................................
Answer.........................................................................................................................
(1)
(b)
Find the square root of 196
.....................................................................................................................................
Answer.........................................................................................................................
(1)
(c)
Find the value of
1
1

0.4 1.6
.....................................................................................................................................
Answer.........................................................................................................................
(3)
6.
(a)
Find the square root of 1225.
......................................................................................................................................
Answer ..................................................................
(1)
(b)
Find the value of
1
1225
Give your answer to 3 decimal places.
......................................................................................................................................
Answer ..................................................................
(2)
7.
Aaron thinks that when you square a whole number you always get an even number.
Give an example to show that Aaron is wrong.
...............................................................................................................................................
...............................................................................................................................................
The Robert Smyth School
(Total 2 marks)
2
The Robert Smyth School
Mathematics Faculty
1.
(a)
2348
(b)
8423
Topic 7
Powers & Roots Rev1
Innovation & excellence
B1
B2
B1 for 8432 or 8243
[3]
2.
(a)
1479
(b)
9714
B1
B2
(9741 B1)
B1 for 4 digit number
using 1, 7, 9, 4; ending in 4 eg 1794
(c)
9700
B1 ft
ft from 4 digit number
[4]
3.
(a)
3.1
(b)
11.51
B1
B1
ft (a) + 8.41
[2]
4.
(a)
Any two multiples of 4
Allow more than two if all correct
B1
(b)
Any two multiples of 7
Allow more than two if all correct
B1
(c)
Any multiple of 28
B1
[3]
5.
(a)
756.25
B1
(b)
14
B1
(c)
2.5
M1
0.625
M1
1.875
A1
[5]
6.
(a)
35
B1
(b)
0.028(5714...)
or 0.028 on answer line
M1
0.029
A1
[3]
7.
eg 72 = 49
B2
B1 for any square eg 82 = 64
No words necessary for both marks
Odd times odd = odd
B1
[2]
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