Final Countdown Higher Revision Mat
1) Calculate the
2) The point C on AB such that
3) Make m the subject of the
4) Calculate the area of the
5) Millie travelled 190 miles to
volume.
AC : CB = 2:1.
A
formula.
triangle.
the nearest ten miles to
B
London at an average speed of
Find in terms
a
C
×
Radius of cone 4cm
67.4 mph correct to 3
of a and b.
19.3
12.8
=
72
+
significant figures. What was
Height of cone 10cm
the quickest time possible for
A
O
B
C
b
her to complete her journey?
6) By eliminating , find the
9) is directly proportional to
7) Expand and simplify
8) Calculate the area of the
.
10) Express
as a
2
solutions to the simultaneous
shaded region inside the
.
fraction in it’s simplest form.
equations
equilateral triangle to 3 SF.
= 300 when = 5.
B
M & N
( 5 − 7)( 5 + 3)
2
2
+
= 25
are midpoints.
Calculate the value of when
= − 7
= 9
M
A
C
N
2
11) Calculate the size of angle
12) A school inspector takes a
14) Solve 12
− 10 − 5 = 0
15) Evaluate
8+6
13) Write
in the form
2
2
.
stratified sample of 60
125
3
+ 2, where p and q are
students. How many students
39
integers.
in year 8 are in the sample?
Year 7
Year 8
Year 9
23
176
188
86
16) Work out
17) Rationalise
18) is inversely proportional
19) Prove using algebra the
20) Calculate the volume.
16
6
7
to .
3.7 × 10
× (4.8 × 10
)
sum of four consecutive
3 + 4
= 8 when = 2
numbers is always even.
2 − 5
6
Calculate the value of when
= 4.
5
Challenge
There are ‘n’ students in a class. 6 of the students are girls. Miss B selects a students name at
random to go on a trip out of a hat and places the name to one side. Miss B then selects another
2
student at random for the names in the hat. The probability Miss B selects two girls is
.
5
2
Show that
− − 75 = 0