CHAPTER 1: DIRECTED NUMBERS1 Calculate the value of 60 ÷ (3). 2 Calculate the value of (12) + (17) × 4.3 Calculate the value of (17) + 28 15.4 Calculate the value of 3 × 18 ÷ (6).5 Calculate the value of ÷ .6 Calculate the value of .7 Calculate the value of (2.56) ÷ 3.2 ÷ (1.6).8 Calculate the value of 5 + .9 Calculate the value of 14 × .10 Calculate the value of 6.3 × 9.3 .

CHAPTER 2: SQUARES, SQUARE ROOTS, CUBES AND CUBE ROOTS1 Calculate the value of 2.42 + (4.6)2. 2 Find the value of (2)2 2 and give the answer in

decimal. 3 Find the value of

(a) 62

(b) 2

4 Find the value of (a) 32

(b) 2

5 Find the value of (a) 92

(b) 2

6 Given that 2.62 = 6.8, find the value of 0.262. 7 Calculate the value of 2 2 and express the answer as

a mixed number. 8 Given that volume of four similar cubes is 500 cm3,

find the total surface area, in cm2, of one cube.

9 Find the value of (a) 63

(b) 3

10 Calculate the value of × .

CHAPTER 3: ALGEBRAIC EXPRESSIONS II1 State the coefficient of s2t2 in the algebraic term

3s2t2u. 2 Given that s = 1 and t = 4, calculate the value of

(t)2.

3 Given that s = 3 and t = 2, calculate the value of (t)3.

4 Given that m = 4 and n = 3, calculate the value of . 5 Given that p = 2 and q = 1, calculate the value of

(2q)3. 6 Given that p = and q = 1, calculate the value of

3p(8q 5)3. 7 Given that p = 3 and q = 1, calculate the value of

(2q)2. 8 Simplify + 6. 9 Simplify each of the following.

(a) s + (10s)(1 + 5t) + 3st(b) (10p2 + 2pq) ÷ (2)

10 Omar paid for 7 packets of sugar at RMs per packet and 6 packets of salt at RMt per packet with RM10. Find his change, in RM.

CHAPTER 4: LINEAR EQUATIONS I1 Given that 3p 2 = 2p + 7, find the value of p. 2 Given that = 4, find the value of y. 3 Given that 17h 98 = 3h, find the value of h. 4 Given that 3(2p + 2) + 3p 27 = 2p, find the value of

p. 5 Given that 8a 4 = 9a + 9, find the value of a. 6 Solve the following equations.

(a) 3x = 6x 6(b) 8y =

7 Given that 6q 5 = 9q + 5, find the value of q. 8 Given that 8q 5 = 3q + 5, find the value of q. 9 Given that 9b 3 = 5b + 9, find the value of b. 10 Given that 7c 2 = 9c + 3, find the value of c.

CHAPTER 5: RATIOS, RATES AND PROPORTIONS1 In 2012, 30 of 100 babies born at a hospital are

female. Find the ratio of male to female in its lowest terms.

2 Given that s = 0.6 kg and t = 1 200 g, find the ratio s : t in its lowest terms.

3 Given that 7 : 5 = 63 : y, calculate the value of y. 4 Given that m : n = 4 : 7. Find the value of m if n =

21. 5 The ratio of the number of workers in factory S to

the number of workers in factory T is 6 : 5. If the factory S has 174 workers, calculate the number of workers in factory T.

6 If x : y = 6 : 7 and y : z = 2 : 7, find the ratio of x : y : z.

7 Rewrite the ratio : : using integers. 8 A rope measuring 264 cm is cut into 3 pieces. The

ratio of the length of each pieces is 4 : 3 : 1. Find the length, in cm, between the longest piece and the shortest piece.

9 A sum of money is divided into three parts according to the ratio 1 : 6 : 3. The smallest portion is RM22. Calculate the total sum, in RM, of the money.

10 Rewrite the ratio : : using integers.

CHAPTER 6: PYTHAGORAS’ THEOREM1 In Diagram 1, BDEF is a rhombus and BFC is a

straight line.

Diagram 1

Calculate the perimeter of the entire diagram.

2 Diagram 2 shows two right-angled triangles PQR and RST.

Diagram 2

Find the length of ST.

3 In Diagram 3, ABCD is a rectangle and ADF is a straight line.

Diagram 3

Find the area of the whole figure.

4 Diagram 4 shows a square PQRS and a right-angled triangle PST.

Diagram 4

Find the area of the whole diagram.

5 Diagram 5 shows two right-angled triangles ABC and ACD.

Diagram 5

Given that CD = 7.7 cm. Find the area of the shaded region, correct to one decimal place.

6 Diagram 6 shows two right-angled triangles ABC and ACD.

Diagram 6

Find the perimeter of the whole diagram, correct to one decimal place.

7 Diagram 7 shows two right-angled triangles ABC and ACD.

Diagram 7

Given that CD = 8 cm. Find the area of the shaded region, correct to one decimal place.

8 Diagram 8 shows two right-angled triangles PQR and PRS.

Diagram 8

Given that RS = 13.2 cm. Find the area of the shaded region, correct to one decimal place.

9 In Diagram 9, PQRS and STUV are two squares.

Diagram 9

Given that the area of PQRS = 256 cm2 and the area of STUV = 900 cm2. Find the perimeter of the whole figure.

10 In Diagram 10, ABCD and AEFG are rectangles.

Diagram 10

Given AB = 65 cm and HI = 25 cm. Calculate the perimeter the shaded region.

CHAPTER7: GEOMETRICAL CONSTRUCTIONS

1 Set squares and protractors are not allowed for this question.

Diagram 1 shows a triangle STU.

Diagram 1

(a) Using only a ruler and a pair of compasses, construct the triangle STU with ST = 4.8 cm.

(b)

Based on the triangle constructed in (a), measure the distance between the point S and U.

2 Set squares and protractors are not allowed for this question.

Diagram 2 shows a line segment PQ.

Diagram 2

By using only a ruler and a pair of compasses, construct the triangle PQR such that ∠PQR = 30° and PR = 5 cm.

3 Set squares and protractors are not allowed for this question.

Diagram 3 shows a parallelogram WXYZ.

Diagram 3

(a) Using only a ruler and a pair of compasses, construct the parallelogram WXYZ according to the measurements given in Dragram 3, beginning from the line WX.

(b)

Based on the parallelogram constructed in (a), measure the distance between the point W and Y.

4 Set squares and protractors are not allowed for this question.

Diagram 4 shows a line segment AB.

Diagram 4

By using only a ruler and a pair of compasses, construct the angle ABC = 135°.

5 Set squares and protractors are not allowed for this question.

Diagram 5 shows a triangle XYZ.

Diagram 5

(a) Using only a ruler and a pair of compasses, construct the triangle XYZ with XY = 5.6 cm.

(b)

Based on the triangle constructed in (a), measure the distance between the point X and Z.

6 Set squares and protractors are not allowed for this question.

In Diagram 6, U is a point on the line segment ST.

Diagram 6

By using only a ruler and a pair of compasses, construct a perpendicular to ST passing through

point U.

7 Set squares and protractors are not allowed for this question.

Diagram 7 shows two straight lines PR and QR.

Diagram 7

By using only a ruler and a pair of compasses, construct a bisector of the angle PRQ.

8 Set squares and protractors are not allowed for this question.

Diagram 8 shows a line segment XY.

Diagram 8

(a) By using only a ruler and a pair of compasses,   (i) construct a triangle XYZ such that XZ = 8.7

cm and YZ = 7.1 cm,   (ii

)construct the perpendicular line to the side XZ which passes through the point Y.

(b)

Based on the construction in (a), measure the perpendicular distance from the point Y to the side XZ.

9 Set squares and protractors are not allowed for this question.

Diagram 9 shows a triangle PQR.

Diagram 9

(a) Using only a ruler and a pair of compasses, construct the triangle PQR with PQ = 4 cm.

(b)

Based on the triangle constructed in (a), measure the distance between the point P and R.

10 Set squares and protractors are not allowed for part (a) of this question.

Diagram 10 shows a triangle STU.

Diagram 10

(a) Using only a ruler and a pair of compasses, construct the triangle STU with ST = 4.4 cm.

(b)

Based on the triangle constructed in (a), measure ∠STU using a protractor.

CHAPTER 8: COORDINATES1 Diagram 1 shows a Cartesian plane.

Diagram 1

On the graph, (a) write the coordinates of point Y. (b)

mark the point X(−5, 1),

2 Diagram 2 shows a Cartesian plane.

Diagram 2

(a) State the scale used for the   (i) x-axis   (ii

)y-axis

(b)

Mark the point S(−2, 30).

3 Diagram 3 shows a Cartesian plane.

Diagram 3

(a) Using the scales of 1 : 1 on the x-axis and 3 : 4 on the y-axis, complete the Cartesian plane.

(b)

Mark the point M(1, 8) and N(−5, −4).

4 Diagram 4 shows a Cartesian plane.

Diagram 4

(a) State the coordinates of point P. (b)

Point Q is 4 units from the point P and its x-coordinate and y-coordinate are positive integers. Mark the possible coordinates of point Q.

5 Given point S(−4, −4) and point T(3, 2). Calculate the distance between S and T.

6 Given point P(−2, −5) and point Q(8, −5). Calculate the distance between P and Q.

7 Diagram 6 shows a Cartesian plane.

Diagram 6

(a) Plot the point Q(2, 1) on the diagram. (b)

Calculate the distance between point P and point Q.

8 Given that A(−1, −4) and B(5, 6) are two points on a Cartesian plane. Find the coordinates of the midpoint of the straight line AB.

9 Given that X(4, 4) and Y(−6, 4) are two points on a

Cartesian plane. Find the coordinates of the midpoint of the straight line XY.

10 Diagram 9 shows a Cartesian plane.

Diagram 9

State the coordinates of the midpoint of the straight line joining point S and T.

CHAPTER 9: LOCI IN TWO DIMENSIONS1 Diagram 1 shows a straight line AB.

Diagram 1

Draw the locus of the point C that is always 1 cm from the line AB.

2 Diagram 2 shows a straight line PQ.

Diagram 2

Draw the locus of the point R such that its distance from titik P = PQ.

3 Diagram 3 shows two straight lines PQ and RS.

Diagram 3

Draw the locus of the point T such that it is equidistant from straight lines PQ and RS.

4 Diagram 4 shows a straight line AB.

Diagram 4

Draw the locus of the point C such that it is equidistant from A and B.

5 Diagram 5 shows a straight line AB.

Diagram 5

Draw the locus of the point C such that its distance from titik A = AB.

6 In Diagram 6, PQRS is a square drawn on square grids with side of 1 unit. X, Y and Z are three moving points inside the square PQRS.

Diagram 6

(a) X moves such that it is equidistant from sides PS and QR. By using the letters in the diagram, state the locus of X.

(b)

On the diagram, draw

  (i) the locus of Y such that its distance from straight line UW is 1 units,

  (iI)

the locus of Z such that its distance from point P is 6 units.

(c) Mark the points of intersection of the locus Y and the locus Z with the symbol .

7 In Diagram 7, PQRS is a square drawn on square grids with side of 1 unit. T, U and V are three moving points inside the square PQRS.

Diagram 7

(a) T moves such that it is equidistant from sides PQ and PS. By using the letters in the diagram, state the locus of T.

(b)

On the diagram, draw

  (i) the locus of U such that it is at a distance of 4 units from PQ,

  (iI)

the locus of V such that its distance from point P is 5 units.

(c) Mark the point of intersection of the locus U and the locus V with the symbol .

8 In Diagram 8, ABCD is a square drawn on square grids with side of 1 unit. F, G and H are three moving points inside the square ABCD.

Diagram 8

(a) F moves such that it is equidistant from sides AB and AD. By using the letters in the diagram, state the locus of F.

(b)

On the diagram, draw

  (i) the locus of G such that its distance from point E is 4 units,

  (iI)

the locus of H such that its distance from straight line AB is 3 units.

(c) Mark the points of intersection of the locus G and the locus H with the symbol .

9 In Diagram 9, KPTS, PLQT, STRN and TQMR are four squares of the same size. X, Y and Z are three moving points inside the square KLMN.

Diagram 9

(a) X moves such that it is equidistant from the straight lines KN and LM. By using the letters in the diagram, state the locus of X.

(b)

On the diagram, draw

  (i) the locus of Y such that KY = KL,   (iI

)the locus of Z such that KZ = NZ.

(c) Mark the point of intersection of the locus Y and the locus Z with the symbol .

10 In Diagram 10, ABCD is a square drawn on square grids with side of 1 unit. H, I and J are three moving points inside the square ABCD.

Diagram 10

(a) H moves such that its distance from side AB is 4 units. By using the letters in the diagram, state the locus of H.

(b)

On the diagram, draw

  (i) the locus of I such that its distance from point E is 4 units,

  (iI)

the locus of J such that it is equidistant from sides AB and BC.

(c) Mark the points of intersection of the locus I and the locus J with the symbol .

CHAPTER 10: CIRCLES I

1 Diagram 1 shows a circle.

Diagram 1

Determine the centre and radius of the circle. Label centre as O and the radius as OR.

2 The wheel of a trolley has a radius of 5 cm. Calculate the distance travelled if the wheel makes 42 revolutions. (Use π = )

3 A piece of copper wire with 660 cm length is cut and bent into 3 circles of equal size. Calculate the diameter of each circle. (Use π = )

4 Diagram 2 shows a rectangle and two semicircles that touch each other.

Diagram 2

Find the perimeter of the shaded region. (Use π = )

5 Diagram 3 shows two circles with common centre O.

Diagram 3

Given that OA = 28 cm. Find the perimeter of the shaded region. (Use π = )

6 In Diagram 4, ABC and DEF are arcs of circles with a common centre O.

Diagram 4

Find the perimeter of the diagram. (Use π = )

7 In Diagram 5, ABCD is a rectangle. Four semicircles of equal size are stuck on the rectangle.

Diagram 5

Given the radius of each circle = 14 cm. Find the area of the shaded region. (Use π = )

8 In Diagram 6, PQRS is a rectangle. PUS is a semicircle while QRT is a quadrant of a circle.

Diagram 6

Find the area of the shaded region. (Use π = )

9 Diagram 7 shows a circle with centre O.

Diagram 7

Given that the radius of the circle = 90 cm and the area of the shaded region = 20 790 cm2. Find the value of c. (Use π = )

10 In Diagram 8, PQ and RS are arcs of two circles with a common centre O.

Diagram 8

Given that OS = 60 cm and SQ = 20 cm. Find the area of the shaded region. (Use π = )

CHAPTER 11: TRANSFORMATION 1

1 Diagram 1 shows two triangles drawn on a Cartesian plane.

Diagram 1

Triangle B is the image of triangle A under a translation . Describe the translation .

2 Diagram 2 shows a figure X drawn on square grids.

Diagram 2

Draw the image of the figure X under a translation .

3 Diagram 3 shows a figure PQR drawn on a Cartesian plane.

Diagram 3

Draw the image of the figure PQR under a translation .

4 Diagram 4 shows a figure drawn on a Cartesian plane.

Diagram 4

On the graph, draw the image of the shaded figure under a reflection in the x-axis.

5 Diagram 5 shows a Cartesian plane.

Diagram 5

State the coordinates of the image of point P under a rotation of 90° clockwise about the point M(0, 1).

6 Diagram 6 shows a Cartesian plane.

Diagram 6

State the coordinates of the image of point A under a rotation of 90° anticlockwise about the point P(−1, 2).

7 In Diagram 7, W'X'Y'Z' is the image of WXYZ under a rotation through 90° clockwise.

Diagram 7

On the diagram, label the centre P.

8 Diagram 8 shows a Cartesian plane.

Diagram 8

State the coordinates of the image of point B under a rotation of 90° clockwise about the point D(0, 1).

9 Diagram 9 shows a Cartesian plane.

Diagram 9

State the coordinates of the image of point M under a rotation of 90° clockwise about the point P(0, 1).

10 Diagram 10 shows a Cartesian plane.

Diagram 10

State the coordinates of the image of point D under a rotation of 90° clockwise about the point H(2, 0).

CHAPTER 12: SOLID GEOMETRY II1 Diagram 1 shows a geometric solid.

Diagram 1

(a) Name the geometric solid. (b)

Name the base and the vertex of the solid.

(c) Name all the faces of the lateral edges of the solid.

2 Diagram 2 shows a right prism.

Diagram 2

Draw the net of the prism on the below square grids.

3 Diagram 3 shows a right prism.

Diagram 3

Draw two nets for the right prism.

4 Diagram 4 shows a pyramid with square base.

Diagram 4

Complete the net of the pyramid.

5 Diagram 5 shows a pyramid with square base.

Diagram 5

Complete the net of the pyramid.

6 Diagram 6 shows a right pyramid.

Diagram 6

Given that the total surface area of the pyramid is 3 200 cm2.Find the height, in cm, of the pyramid.

7 Diagram 7 shows a cylinder.

Diagram 7

Given that the total surface area of the cylinder is 2 904 cm2.Find the height, in cm, of the cylinder. (Use π = )

8 Diagram 8 shows a cuboid.

Diagram 8

Given that the area of WXYZ is 119 cm2. Find the total surface area, in cm2, of the cuboid.

9 Diagram 9 shows a right prism.

Diagram 9

Given that the total surface area of the prism is 2 352 cm2, find the value of m, in cm.

10 Diagram 10 shows a composite solid consisting of a cone and a hemisphere.

Diagram 10

Find the total surface of the solid, in cm2.

CHAPTER 13: STATISTICS

1 An international flight carries a total of 172 passengers. Only 25% of the passengers are Malaysian. The others are 40 Singaporeans, 12 Indonesian, 13 Thai and 40 Japanese while the remainder are Americans. Present the data systematically in a table form.

2 Table 1 shows the scores obtained by a group of 25 participants in a competition.

Score Number of participants0 61 62 53 y4 x

Table 1

Find (a) the value of x, if it represents

24% of the participants in the competition.

(b) the value of y.

3 Diagram 1 is a line graph showing the daily sales of food at four stalls W, X, Y and Z.

Diagram 1

Find the difference between the highest sale and lowest sale.

4 Diagram 2 is an incomplete pictogram showing the number of titles of books published by three companies, x, y and z.

Diagram 2

If the total number of titles of books published by all the three companies is 735, then calculate the

number of symbols which must be drawn in the space z.

5 Table 2 shows the number of cellphones sold by three distributors.

DistributorNumber of cellphones

Zaini 40Munif 60Chee Meng 80

Table 2

The information for Munif is shown fully in the pictogram in the Diagram 3.

Diagram 3

Complete the pictogram to represent all the information given.

6 Table 3 shows three favourite novels read by a group of 62 teenagers.

Novel Number of teenagersP 12Q 24R n

Table 3

(a) Find the value of n. (b) By using the value of n obtained

in (a), draw a bar chart to represent the data given in a square grids.

7 Diagram 4 is an incomplete pictogram showing the number of titles of books published by three companies, x, y and z.

Diagram 4

If the total number of titles of books published by all the three companies is 520, then calculate the

number of symbols which must be drawn in the space z.

8 Diagram 5 is an incomplete pictogram showing the number of titles of books published by three companies, s, t and u.

Diagram 5

If the total number of titles of books published by all the three companies is 400, then calculate the

number of symbols which must be drawn in the space u.

9 Diagram 6 is a line graph showing Lih Peng's monthly telephone bills in six months.

Diagram 6

If Lih Peng's telephone bill for November is 20% more than that of October, calculate his telephone bil for November.

10 Diagram 7 is an incomplete bar chart showing the daily expenses of Seng Huat for five days in a week. The total expenses in five days of the week is RM6.00.

Diagram 7

Complete the bar chart.

ANSWER:CHAPTER11 60 ÷ (3)

= (60 ÷ 3)= 20

2 (12) + (17) × 4= 12 + (68)= 12 68= 80

3 (17) + 28 15= 11 15= 4

4 3 × 18 ÷ (6)= 54 ÷ (6)= 9

5 ÷ = × =

6 = + 2= = = 1

7 (2.56) ÷ 3.2 ÷ (1.6)= 0.8 ÷ (1.6)= 0.5

8 5 + = 5 4= = = 9

9 14 × = 14 × = 14 ×

= 14 × 3.644= 51.016

10 6.3 × 9.3 = 6.3 × 9.3 + 2= 58.59 + 2= 58.59 + 2.625= 61.215

CHAPTER21 2.42 + (4.6)2

= + = 5.76 + 21.16= 26.92

2 (2)2 2

= = 4 = 4 = = = 1.44

3 (a) 62

= 6 × 6= 36

(b) 2

= × =

4 (a) 32

= 3 × 3= 9

(b) 2

= × =

5 (a) 92

= 9 × 9= 81

(b) 2

= × =

6 0.262

= 2

= 2.62 ÷ 102

= 6.8 ÷ 100= 0.068

7 2 2

= = = = = 1

8 Volume of a cube = 125 cm2

The length of side of a cube = 5 cm

Total surface area of a cube = 6 × (5 cm × 5 cm)= 6 × 25 cm2

= 150 cm2

9 (a) 62

= 6 × 6 × 6= 216

(b) 3

= × × =

10 × = × = 0.4 × 0.8= 0.32

CHAPTER3 1 3s2t2u = 3u × s2t2

The coefficient of s2t2 = 3u

2 (t)2 = (1(4))2

= (4)2

= 16

= 16

3 (t)3 = (1(2))3

= (2)3

= + 8= 8

4= = = 28

5 (2q)3 = (2(1))3

= (2)3

= + 8= 5

6 3p(8q 5)3 = 3()(8(1) 5)3

= 2(8 5)3

= 2(13)3

= 2 × 2 197= 4 394

7 (2q)2 = (2(1))2

= (2)2

= 4= 4

8 + 6 = + 6= + 6= + =

9 (a) s + (10s)(1 + 5t) + 3st = s + (10s 50st) + 3st= s 10s 50st + 3st= 9s 47st

(b)= 5p2 pq

10 RM10 (7 × RMs + 6 × RMt)= RM10 (RM7s + RM6t)= RM(10 7s 6t)

CHAPTER41 3p 2 = 2p + 7

3p 2p = 7 + 2p = 9

2 = 48y + 9 = 128y = 12 98y = 3y =

3 17h 98 = 3h17h 3h = 9814h = 98h = 7

4 3(2p + 2) + 3p 27 = 2p6p + 6 + 3p 27 = 2p6p + 3p 2p = 217p = 21p = 3

5 8a 4 = 9a + 98a 9a = 9 + 4a = 13a = 13

6 (a) 3x = 6x 66x 3x = 63x = 6x = x = 2

(b) 8y = 16y = 1 8y16y + 8y = 124y = 1y =

7 6q 5 = 9q + 56q 9q = 5 + 53q = 10

q =

8 8q 5 = 3q + 58q 3q = 5 + 55q = 10q = q = 2

9 9b 3 = 5b + 99b 5b = 9 + 34b = 12b = b = 3

10 7c 2 = 9c + 37c 9c = 3 + 22c = 5c =

CHAPTER51 male : female

= 70 : 30= 7 : 3

2 s : t = 0.6 : 1 200        = 600 : 1 200        = 1 : 2

3 7 : 5 = 63 : y = y = × 63   = 45

4 m : n = 4 : 7m : 21 = 4 : 7 = m = × 21   = 12

5 S : T = 6 : 5174 : T = 6 : 5 = T = × 174   = 145

6 x : y = 6 : 7       = 6 × 2 : 7 × 2       = 12 : 14

y : z = 2 : 7       = 2 × 7 : 7 × 7       = 14 : 49

x : y : z = 12 : 14 : 49

7 : : = × 18 : × 18 : × 18= 15 : 8 : 9

8 Assume a : b : c = 4 : 3 : 1 a c : a + b + c = 4 1 : 4 + 3 + 1a c : 264 = 3 : 8 = a c = × 264        = 99

9 Assume a : b : c = 1 : 6 : 3 a : a + b + c = 1 : 1 + 6 + 322 : a + b + c = 1 : 10 = a + b + c = × 22              = 220

10 : : = × 84 : × 84 : × 84= 12 : 21 : 28

CHAPTER61 BC =

        =         = 10 cmPerimeter= CA + AB + BD + DE + EF + FC= 6 + 8 + 5 + 5 + 5 + (10 − 5)= 6 + 8 + 5 + 5 + 5 + 5= 34 cm

2 QR =        =        = 15 cm

RS = 15 − 2       = 13 cmST =        =        = 5 cm

3 BC =        =        = 13 cmDF =        =        = 7 cmArea = 24 × 13 + (5)(12) + (24)(7)          = 312 + 30 + 84          = 426 cm2

4 PT =        =        = 15 cmArea = 39 × 39 + (15)(36)        = 1 521 + 270        = 1 791 cm2

5 AB =        =        = 15 cmAD =        =        = 2.2 cmArea = (8)(15) − (2.2)(7.7)        = 60 − 8.5        = 51.5 cm2

6 AC =         =         = 25 cmBC =         =         = 51.5 cmPerimeter= AB + BC + CD + DA= 45 + 51.5 + 7 + 24= 127.5 cm

7 AB =

       =        = 24 cmAD =        =        = 6 cmArea = (10)(24) − (6)(8)        = 120 − 24        = 96 cm2

8 PQ =        =        = 36 cmPS =        =        = 7.1 cmArea = (15)(36) − (7.1)(13.2)        = 270 − 46.9        = 223.1 cm2

9 PS =        = 16 cmSV =        = 30 cmPV =        =        = 34 cmPerimeter= PQ + QR + RT + TU + UV +VP= 16 + 16 + 34 + 30 + 30 + 34= 160 cm

10 CH =         =         = 7 cmPerimeter= EB + BH + HI + ID + DG + GF + FE= 25 + (18 − 7) + 25 + (65 − 24) + (18 − 9) + (65 − 25) + 9= 25 + 11 + 25 + 41 + 9 + 40 + 9= 160 cm

CHAPTER7Answer:

1

(a) (b) 8.3 cm

2

3

(a) (b) 12.3 cm

4

5

(a) (b) 9.7 cm

6

7

8

(a) (b) 9.2 cm

9

(a) (b) 7 cm

10

(a) (b) 27°

CHAPTER81 (a) (3, −4)

(b)

2 (a)(i) 2 : 2    (ii) 1 : 5

(b)

3

4 (a) (2, 1)

(b)

5

ST2 = 72 + 62

     = 49 + 36

     = 85ST =      = 9.22∴ The distance between S and T is 9.22 units.

6 PQ = 8 − (-2)     = 10∴ The distance between P and Q is 10 units.

7

(a) (b) PQ2 = 32 + 52

           = 9 + 25           = 34      PQ =            = 5.83      ∴ The distance between P and Q is 5.83 units.

8

The coordinates of the midpoint of AB are (2, 1).

9

XY = 4 − (-6) = 10XZ = ZY = 5∴ The coordinates of the midpoint of XY are (−1, 4).

10

The coordinates of the midpoint of ST are (2, −2).

CHAPTER 91

2

3

4

5

6 (a) TV(b) & (c)

7 (a) PR(b) & (c)

8 (a) AC(b) & (c)

9 (a) PR(b) & (c)

10 (a) FG(b) & (c)

CHAPTER101

2 d = 2πr × 42    = 2()(5) × 42    = × 42    = 1 320 cm

3 c =     = 220 cm2πr = 220r =     = ×     = 35 cmd = 35 × 2    = 70 cm

4 r = 56 ÷ 4    = 14 cmPerimeter = 56 + 50 × 2 + 2πr                = 56 + 100 + 2()(14)                = 156 +                 = 244 cm

5 Perimeter = 2πr + 2π()                = 2()(28) + 2()()                = 176 + 88                = 264 cm

6 Perimeter = 30 × 2 + 2()(30 × 2)() + 2()(30)()             = 60 + 176 + 100.57             = 336.57 cm

7 Area = (14 × 2)(14 × 4) − 2()(14)2

         = 1568 − 1 232         = 336 cm2

8 Area = 28 × (2 × 28) − −

         = 1568 − 308 − 616         = 644 cm2

9 πr2 × = 20 790c = 360 − 20 790 × × 360    = 360 − 294    = 66

10 Area = π(60 + 20)2 × − π(60)2 ×           = ()(80)2 × − ()(60)2 ×           = 3 520 − 1 980          = 1 540 cm2

CHAPTER 111 The translation is .

2

3

4

5

Coordinates of point P' is (−1, −2).

6

Coordinates of point A' is (1, 2).

7

8

Coordinates of point B' is (2, −2).

9

Coordinates of point M' is (1, 3).

10

Coordinates of point D' is (5, 0).

CHAPTER 121 (a) A pyramid.

(b)

PQRS is the base and T is the vertex.

(c) The lateral edges of the solid are PT, QT, RT and ST.

2

3

4

5

6

Total surface area = 3 200= 32 × 32 + 4()(32)(c)= 1024 + 64cc =     =     = 34a =     = 16h =     =     =     =     = 30

7 r =     = 14 cmTotal surface area

= 2 904= 2 × π(14)2 + 2πh= 2()(196) + 2()(14)(h)= 1 232 + 88hh =     =     = 19 cm

8 WXYZ = 119 cm2

XY × 17 = 119XY =      = 7 cmTotal surface area = 2 × 17 × 7 + 2 × 17 × 9 + 2 × 7 × 9= 238 + 306 +126= 670 cm2

9 PR2 = 142 + 482

PR =     =     = 50 cm2 352 = 2(× 14 × 48) + 14 × m + 48 × m + 50 × m     = 672 + 112m112m = 2 352 - 672m =     = 15 cm

10 r =     = 14 cmTotal surface area = 2πr2 + πrl= 2()(14)2 + ()(14)(20)= 1 232 + 880= 2 112 cm2

CHAPTER 131 Number of Malaysian

= × 172= 43

Number of American = 172 (43 + 40 + 12 + 13 + 40)= 172 148= 24Nationality Number of

passengersMalaysian 43Singaporean 40Indonesian 12Thai 13Japanese 40American 24

2 (a) × 100% = 24%x = x = 6

(b) 6 + 6 + 5 + y + 6 = 25y + 23 = 25y = 2

3 RM350 RM100= RM250

4 (7 + 6 + z) × 35 = 735z + 13 = 21z = 8

5

6 (a)

12 + 24 + n = 6236 + n = 62n = 26

(b)

7 (7 + 4 + z) × 40 = 520z + 11 = 13z = 2

8 (5 + 3 + u) × 25 = 400u + 8 = 16u = 8

9 RM75 + = RM75 + RM15= RM90

10 n + 110 + 110 + 150 + 140 = 600n + 510 = 600n = 90