Download Evaluate: (22) 2. Robin measures the dimensions of his bedroom

MAKE THE
GRADE
NUMBER
1. Evaluate:
i) 4 - 2  2 - 3
iv )
1
16 2
144
1
2
vi) 64 0. 5
1
(0.01) 2
viii)
1
4 x) ( ) 2
25
2
iii) ( ) - 3
3
1
83
v)
-
vii)
1
( )-2
4
ii)
1
1
ix) (2 ) 2
4
3
25 2
xi)
x)
3
16 4
(22)
2. Robin measures the dimensions of his bedroom.
The length is 3·4m and the width is 220cm.
Both dimensions are measured to the nearest 10cm.
Calculate the upper and lower bounds of the
perimeter of his bedroom.
(4)
3. Heather thinks of two numbers, x and y.
x = 4 to the nearest whole number
y = 2·3 to one decimal place.
i) Find the lower bound of the sum of x and y.
ii) Find the upper bound of the difference of x and y.
(6)
4. Simplify:
i)
12
ii)
iv ) 45  2 5
v)
50
75 - 12
iii)
72
vi)
28  63 - 112
(18)
5. Expand and simplify the following:
i) 4 ( 2  3 )
iv) (4  3 )( 4 - 3 )
ii)
2 ( 2  8)
v) (2  5 )( 4  3 )
iii)
3 ( 2  12 )
vi) (3  6 )( 2 - 3 )
(7)
(13)
6. Rationalise and simplify the following:
1
3
2
i)
ii)
iii)
3
5
6
7. Draw two triangles with one of the sides equal to
(9)
5 in each case.
8. Convert the following recurring decimals to fractions in their simplest form:
i)
0·111111111………
(4)
(1)
. .
ii)
0· 3 6
.
iii)
(1)
.
0· 3 3 6
(2)
.
iv)
0· 3 6
(5)
Did you ‘Make the Grade’?
I
I
I
I
I
I
I
I
I
Skill
can evaluate numbers involving negative powers
can evaluate numbers involving unit fractional powers
can evaluate numbers involving more complex fractional powers
can calculate upper and lower bounds
can simplify surds
can expand expressions involving surds
can rationalise simple surds
can represent surds diagrammatically
can convert recurring decimals to fractions
 
Qu
1 i, ii, iii
1 iv - x
1 xi, xii
2,3
4
5
6
7
8
 Yippee!! - I got all the questions correct.
 I made mistakes and need to practise this topic more.
Top 3 topics I need to revise are
☺
☺
☺
If your score is:
66 - 91 -
36 – 65
0 – 35
Well done. You are definitely working at grade A with your
number skills. Bring on the A*!
- Promising work – make sure you ask for help and revise the topics
that you had difficulty with. You can still get that A !!!
-
Serious revision and help is needed if you are going to get
that A. Sort it out now. Don’t wait any longer