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9. Evaluate the following, expressing your answer in the simplest form.
(a)
4 5 1 1
× ÷ + =
5 8 6 6
(b)
8 15 24 42
×
÷
×
=
18 20 15 35
(c)
1 ÷2 ×
(d)
2
(e)
2
2
5 1
÷ ×3 + =
7 14
6 3
(f)
1
(g)
3
2
1
+ ÷5× =
10 3
4
(h)
5 ×4
1
7
1
4
5
=
8
1
2 5
÷4 ÷ =
2
5 8
4
4
1
× 7 ÷ 11 =
13
5
3
1
3
1 13 8
− × =
2
4 13
10. Evaluate the following, expressing your answer in the simplest form.
(a)
⎛ 1 1⎞ 1
⎜ 2 + 3⎟ × 4 =
⎝
⎠
(b)
2
2⎞
⎛
÷ 4 + ⎜3 − ⎟ =
3
5⎠
⎝
(c)
1 ⎛1 1⎞ 1
×
+
÷ =
3 ⎜⎝ 2 4 ⎟⎠ 6
(d)
⎛3 1 1 ⎞ 1
⎜ 4 × 3 − 12 ⎟ ÷ 2 =
⎝
⎠
11. What number goes in the box?
8×
+4–6÷
2
= 27
3
1
1
12. The product of two numbers is 5 . If one of the numbers is 2 , what is the
4
3
other number?
13. If
3
3
of a number is 6, what is of the number?
8
4
1
1
of its value, the result is 3 . What is the the
14. After a fraction is increased by
4
3
original fraction?
3
2. Find
(a) the area of the shaded figure,
(b) the perimeter of the shaded figure.
7 cm
22 ⎞
⎛
⎜ Take π = 7 ⎟
⎝
⎠
3. The area of the circle is 6 times the area of
the shaded rectangle. O is the center of the
circle. If the diameter of the circle, NP, is
42 cm, find the perimeter of the shaded
rectangle.
N
O
22 ⎞
⎛
⎜ Take π = 7 ⎟
⎝
⎠
4. The figure consists of an isosceles triangle
ABC and 2 identical semicircles, overlapping
one another. AC = BC = 10 cm and the
length of each of these two lines is
A
P
B
5
that of
6
AB. Find the perimeter of the shaded part
of the figure.
(Take π = 3.14)
C
13
2. The given line graph shows the distance two boys, Peter and Paul, bicycled over
a certain period of time. Each boy started bicycling from the same starting point
towards a common destination.
Distance in kilometers
40
Pe
te
r
P au
l
50
30
Pau
l
Pe
ter
20
10
8 am
9 am
10 am
11 am
12 noon
(a)
What was Paul’s average bicycling speed?
(b)
Peter rested from _____ am to _____ am.
From
(c)
1 pm
2 pm
km/h
am to
am
How much slower was Peter’s bicycling speed for the second part of his
journey after his rest than his speed for the first part of his journey?
km/h
26
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