REVISION YEAR 8
PERCENTAGES/FINANCIA L MATHS
Question
Answer
23
as
100
1. Write
a
percentage
23%
2. Write 10 as a
percentage
3
30%
3. Write as a
25
percentage and decimal
4. Write 0.78 as a fraction
and percentage
5. Write 9% as a fraction
and decimal
6. Calculate 53% of 780km
1
4%, 0.04
7. Calculate 75% of $280
$210
1
78
100
= 50 78%
39
9
,
100
0.09
413.4km
8. Calculate 33 3 % of $15
$5
9. Calculate 43.65% of
10000m
10. Joel got a test mark of
29 out of 40. What
percentage is this?
11. What percentage is
$1.50 of $2?
12. What percentage is
750mL of 3L?
13. What percentage is
$1.20 of $1.44?
4365m
14. Arrange the following in
descending order
(largest to smallest):
7
15. , 0.81, 85%, 61 out of
8
70
7
,
8
16. Find 6 2 % of $80
$5.20
17. Increase $420 by 10%,
what is the amount?
18. 1 metre is reduced by
4%, what length
remains?
19. A sum of $100 is
increased by 20%, this
resulting sum is then
decreased by 20%.
$462
1
72.5%
75%
25%
1
83 3 % or
83.33%
61 out of 70,
85%, 0.81
96cm
$96
What is the final sum
obtained?
20. A fridge costs $1985
before 10% GST is
charged. What is the
final price of the fridge
after GST?
21. Erica is buying a TV for
$2240 but gets a loyal
members discount of
14%. If she pays by
EFTPOS, there is a 2%
surcharge (2%
increase). How much
does Erica pay for the
TV if she pays by
EFTPOS?
(round to the nearest
dollar)
22. Jonah bought his pen
for $2 and sold it for
$2.50.
Express the gain as a
percentage of the (a)
cost price, (b) selling
price
23. An agent is entitled to
1
6 2 % commission for
selling a property worth
$80 000. How much is
his commission?
24. Tim scored 36 out of 50,
42 out of 60, 57 out of
80 in three math tests.
Which were her best
and worst results?
$2183.50
2240x14%=313.6
Discounted
price: 2240313.6 =
$1926.40
EFTPOS
surcharge:
1926.4x2%=
$38.528
Final price:
1926.4+38.528=
$1964.928
Nearest dollar:
$1965
0.5
=25%
2
0.5
(b) 2.5 20%
(a)
$5200
Best is 36 out of
50 (72%)
Worst is 42 out
of 60 (70%)
PYTHAGORAS’ THEOREM
Question
1.
Name the hypotenuse
Answer
𝑥 = 15.00𝑐𝑚
ST length.
Can be labelled
as anything but
preferably r or ST
𝑥 = 8.39𝑐𝑚
𝑎2 + 𝑏2 = 𝑐 2
9. Do numbers 5, 12 and
13 form a Pythagorean
Triad?
10. A 6.7m ladder is
leaning against a wall.
The end of the ground
is 2.4m from the wall.
How high up does the
ladder reach? (Ans to 1
decimal place)
2.
Write the pythagoras
rule for this traignle
3. Draw a right angled
triangle LMN where
MN is the hypotenuse.
Label sides l, m & n
4.
𝑥 2 = 342 + 322
𝑥 2 = 2180
𝑥 = √2180
𝑥 = 46.7
Find x, round to one
decimal place
𝑚 = 136.5
5.
6.
Find m, round to one
decimal place
782 = 𝑎 2 + 652
𝑎 2 = 782 − 652
𝑎 = √1859
𝑎 = 43.1
Find a, round to one
decimal place
𝑟 = 31.8
7.
Find r, round to one
decimal place
8. Find x, round to 2
decimal place (all
measurements are in
centimetres):
𝑥 = 10.80𝑐𝑚
11.
12. The longest side of a
right angled triangle is
50cm. If one of the
other sides is 30cm in
length, find the length
of the third side (draw
a diagram).
13. ABCD is a square with
side length of 7cm.
Calculate the length of
diagonal BD to 3
decimal places (draw a
diagram).
14. A dog travels 18.6km
due north and then
10.5km due west. How
far would be travelled if
he went in a striaght
line from S to F? Give
answer to 1 decimal
place
Yes: 132 −
122 = 25 = 52
𝑥 = 6.3𝑚
𝑥 = 40𝑐𝑚
𝐵𝐷 = 9.899𝑐𝑚
𝐹𝑆 = 21.4𝑘𝑚
LENGTH AND AREA
9. Calculate the area of the
trapezium
Question
Answer
1. Calculate the
𝐶 = 𝜋𝑑
circumference of the circle, C = 37.7cm
correct the 1 decimal place.
2. Calculate the
circumference of the circle,
correct the 1 decimal place.
3. Calculate the perimeter to
2 decimal places.
10. Calculate area of the
triangle
1
𝑏ℎ
2
𝐴 = 17.94𝑚2
11. Calculate area of the
parallelogram
𝐴 = 𝑏ℎ
𝐴 = 8.172𝑚2
5. Calculate the area to 1
decimal place.
𝑃 = 21.42𝑐𝑚
𝑎𝑛𝑔𝑙𝑒 2
𝜋𝑟
360
𝐴 = 52.36𝑚2
𝐴=
𝑃 = 33.71𝑐𝑚
𝐴 = 283.5𝑐𝑚2
13. The circumference of a
circle is 22cm. Calculate the
circle’s radius and area to 1
decimal place
14. Find the area for this figure
6. Calculate the shaded area
to 1 decimal place.
𝐴=
𝐶 = 2𝜋𝑟
C = 37.7cm
12. Calculate the area of the
shaded region to 2 decimal
places
4. Calculate the perimeter to
2 decimal places.
1
ℎ(𝑎 + 𝑏)
2
𝐴 = 63.7𝑚2
𝐴=
𝐶 = 2𝜋𝑟
𝐶
𝑟=
2𝜋
𝑟 = 3.5𝑐𝑚
𝐴 = 38.48𝑐𝑚2
𝐴 = 40𝑐𝑚2
𝐴 = 330.3𝑐𝑚2
7. Calculate the shaded area
to 1 decimal place.
𝐴 = 692.1𝑐𝑚2
8. Calculate the area of the
kite
1
𝑥𝑦
2
𝐴 = 56𝑐𝑚2
𝐴=
15. Find the shaded area for
this figure
𝐴 = 1600𝑐𝑚2
16. Find the area for this figure
𝐴 = 19.85𝑚2