WorksheetsUjian Akhir Sesi Akademik (UASA) Section A
Total questions: 57
Worksheet time: 29mins
Diagram 1 shows a set of numbers arranged in a pattern. 9, 45, 225, 1 125, ... State the pattern for the number set.
Multiply the previous number by 15.
Multiply the previous number by 13.
Multiply the previous number by 5.
Multiply the previous number by 3.
Diagram 2 shows a sequence of prime numbers. 23, x, 31, 37, y, 43. Calculate the value of 2x - y.
17
18
19
20
Expand (x + 3)(x - 5).
x2+8x−15
x2−2x−15
x2−8x−15
x2+2x−15
Simplify.
(x - y) / 2x
1 / 2x
(x - y) / 4x
3 / 6x
Given that p = r / (1 + q), express q in terms of p.
q = r / (p + 1)
p = r / (q + 1)
q = r / p - 1
p = r / (q - 1)
Diagram 3 shows an incomplete polygon. Calculate the number of sides of the polygon.
9
10
11
12
Diagram 4 shows a circle with centre O and radius of 12 cm. Calculate the area of minor sector XOY. (Use π = 3.142)
A. 100.54 cm²
B. 120.54 cm²
C. 351.90 cm²
D. 391.50 cm²
Diagram 5 shows a circle. Region CDE is
segment
arc
major sector
minor sector
The following are three-dimensional shapes that have no curved surfaces EXCEPT
Prism
Cone
Cube
Pyramid
Find the distance between points A(9, 5) and B(6, 9).
2 unit / units
3 unit / units
4 unit / units
5 unit / units
Which of the following set of ordered pairs is a one-to-one function?
{(24, 4), (24, 6), (24, 8), (18, 4), (18, 6)}
{(4, 4), (4, 8), (4, 12), (8, 4), (8,12)}
{(2, 2), (2, 4), (2, 6), (2, 8), (2, 10)}
{(1, 3), (2, 6), (3, 9), (4, 12), (5, 15)}
Diagram 6 is an arrow diagram that shows a relation. State the type of relation.
One-to-one relation
One-to-many relation
Many-to-one relation
Many-to-many relation
Table 1 shows the values of x and y for the function y = x³ - 3x. Calculate the values of m and n.
m = -2, n = 90
m = 10, n = 115
m = 2, n = 110
m = 12, n = 66
Ammar rode his motorcycle from Town P and took 4 hours to reach Town Q. If the distance between Town P and Town Q is 300 km, calculate the speed, in km/h, of the motorcycle.
70
75
37.5
96
The gradient of the straight line that passes through point K(-3, -5) and point L(0, 7) is
-3
-5
4
6
Diagram 7 shows point L(3, 5) drawn on a Cartesian plane. Which of the points A, B, C and D is the image of point L under the translation (-2, -3)?
A
B
C
D
Diagram 8 shows a set of data. 13 15 19 15 13 16 15 15 19 13 11 14 14 15 15 17 18 15 State the mode of the data.
15
13
19
14
Calculate the mean mark.
60.5
62.5
70.5
76.5
There are several cards labelled with number from 18 to 27 in a bag. A card is chosen at random from the bag. Find the probability of choosing a card which label is not a multiple of 6.
4/5
3/5
2/5
1/5
A container contains 24 blue marbles and a few yellow marbles. A marble is picked at random from the container. The probability of picking a blue marble is 4/7. How many yellow marbles are there in the container?
9
29
18
42
Mark "B" for the correct Fibonacci numbers and "S" if otherwise.
(a) B (b) S (c) B (d) S
(a) S (b) B (c) S (d) B
(a) S (b) S (c) S (d) S
(a) B (b) B (c) B (d) B
List all the common factors of 20de, 25e²f, 30def.
5e
2e
10f
de
Expand: -9(m - 3n)
-9m + 27n
-9m - 27n
9m - 27n
-9m + 3n
Based on diagram 9, name the following parts of the circle.
(a) Chord (b) Centre (c) Segment (d) Diameter
(a) Radius (b) Arc (c) Tangent (d) Sector
(a) Point (b) Line (c) Triangle (d) Square
(a) Rectangle (b) Ellipse (c) Parabola (d) Hyperbola
Diagram 10 shows a cone with radius of 9 cm and height of 14 cm. Fill in the blank to complete the solution of the cone’s volume. Volume of cone = 1/3 × base area × height = 1/3 × π × r² × height = 1/3 × 22/7 × 9 × 9 × 14 = 1/3 × 22/7 × 81 × 14 = 1/3 × 22/7 × 1134 = 1/3 × 3567.43 = 1189.14 cm³. What are the correct numbers to fill in the blanks in the calculation?
9, 9, 81, 1134
9, 14, 81, 126
9, 9, 72, 1134
14, 9, 81, 1134
Refer to Diagram 11. For point K, mark (✓) for the correct statement:
A. Coordinates (4, 5).
B. Coordinates (5, 4).
Diagram 11 shows five points K, L, M, N and P on a Cartesian plane. For point L, mark (✓) for the correct statement:
A. Lies 3 units below the x-axis.
B. Lies 6 units to the right of the y-axis.
Diagram 11 shows five points K, L, M, N and P on a Cartesian plane. Refer to Diagram 11. For point M, mark (✓) for the correct statement:
A. Midpoint of point K and coordinates (0, 0).
B. Midpoint of point K and coordinates (0, 1).
Refer to Diagram 11. For point N, mark (✓) for the correct statement:
A. Lies 4 units to the right of the y-axis.
B. Lies 2 units below the x-axis.
Given 2m ÷ (m/3n) = 3m - 9. (i) Express m in terms of n.
m = 9n/2
m = 6n
m = 3n/2
m = 2n
Given 2m ÷ (m/3n) = 3m - 9. (ii) Calculate the value of m when n = 12.
m = 54
m = 36
m = 27
m = 18
Diagram 12 shows a worker climbing a ladder and a man on an escalator. Find the gradient for both situations.
Gradient for ladder = 12/5; Gradient for escalator = 10/6 = 5/3
Gradient for ladder = 5/12; Gradient for escalator = 6/10 = 3/5
Gradient for ladder = 12/6; Gradient for escalator = 10/5 = 2
Gradient for ladder = 6/5; Gradient for escalator = 12/10 = 6/5
Complete the table below by filling in the 'Number of patients' column for each age group:
1 – 10: 6 11 – 20: 4 21 – 30: 9 31 – 40: 6 41 – 50: 7
1 – 10: 7 11 – 20: 5 21 – 30: 8 31 – 40: 7 41 – 50: 6
1 – 10: 5 11 – 20: 6 21 – 30: 7 31 – 40: 8 41 – 50: 9
1 – 10: 4 11 – 20: 7 21 – 30: 6 31 – 40: 9 41 – 50: 8
Determine the modal class from the completed table above.
10-20
20-30
30-40
40-50
Calculate the median of the number of patients from the completed table above.
The median number of patients is 45.
The median number of patients is 30.
The median number of patients is 60.
The median number of patients is 75.
Diagram 13 shows a circle with centre O. Given, diameter of the circle is 30 cm and the length of DE is 12 cm. Calculate the length, in cm, of BD.
BD = 18 cm
BD = 12 cm
BD = 15 cm
BD = 20 cm
Diagram 14 shows a circular cake. The cake is cut into 10 equal slices. The diameter of the cake is 28 cm. Calculate the area, in cm², of a piece of cake. (Use π = 22/7)
Area of a piece of cake = 61.6 cm²
Area of a piece of cake = 44.8 cm²
Area of a piece of cake = 78.5 cm²
Area of a piece of cake = 35.2 cm²
Diagram 15 shows a quadrilateral, PQRS. Find the value of x.
x = 12
x = 8
x = 15
x = 20
Diagram 16 shows the nets of a three-dimensional geometrical shape. Name the three-dimensional geometrical shape.
Cylinder
Cube
Cone
Sphere
Bentuk geometri tiga dimensi manakah yang dilakarkan?
Kubus
Segi tiga
Bulatan
Segi empat tepat
Pilih luas permukaan bagi bentuk geometri tiga dimensi tersebut.
24 cm²
36 cm²
48 cm²
60 cm²
Rajah 17 menunjukkan sebuah gabungan pepejal dengan isi padu 3 394 cm³. Berapakah jejari bagi silinder tersebut? (Guna π = 22/7)
7 cm
14 cm
10 cm
12 cm
Diagram 18 shows the route of a lorry carrying a load from Factory A to Factory B. The lorry driver leaves at 9:00 a.m. with a speed of 95 km/h and arrived at the restaurant at 5:30 p.m. If he rests for 45 minutes and continues the journey to Factory B at a speed of 1/5 of the previous speed, calculate the total distance, in km, if the lorry arrives at Factory B at 7:45 p.m.
190 km
150 km
210 km
175 km
Diagram 19 shows the numbers in a box. A number is chosen at random from the box. Find the probability of getting a multiple of 3.
Probability = 4/13
Probability = 3/13
Probability = 5/13
Probability = 6/13
Which of the following diagrams shows the correct image of quadrilateral PQRS after a reflection on the line KL?
A diagram where PQRS is reflected accurately over line KL.
A diagram where PQRS is rotated 90 degrees.
A diagram where PQRS is translated to the right.
A diagram where PQRS is enlarged.
Diagram 20 shows a quadrilateral PQRS drawn on a square grid of equal size. Which of the following is the correct position of R' as the image of point R under translation (6, -4)?
6 units to the right and 4 units down from R
4 units to the right and 6 units down from R
6 units to the left and 4 units up from R
4 units to the left and 6 units up from R
Diagram 21 shows a rectangular field. There are a circular garden on the field. Calculate the area of the remaining field, in m², if the area of the shaded sector is 66 m². (Use π = 22/7)
66
88
120
154
What is the frequency of fruits with mass between 15 – 19 kg?
21
12
8
15
What is the total frequency of fruits sold?
64
54
72
58
Calculate the mean mass, in kg, of the fruits sold by the seller. Use the frequency table below: | Mass (kg) | Frequency (f) | Midpoint (x) | fx | |-----------|---------------|--------------|----| | 0 – 4 | 12 | | | | 5 – 9 | 16 | | | | 10 – 14 | 9 | | | | 15 – 19 | 21 | | | | 20 – 24 | 6 | | | | Total | 64 | | | Fill in the Midpoint (x) and fx columns, then calculate the mean mass. (Show your working.)
Mean mass = (24 + 112 + 108 + 357 + 132) / 64 = 733 / 64 = 11.45 kg (rounded to 2 decimal places)
Mean mass = (24 + 112 + 108 + 357 + 132) / 64 = 733 / 64 = 9.45 kg (rounded to 2 decimal places)
Mean mass = (24 + 112 + 108 + 357 + 132) / 64 = 733 / 64 = 13.45 kg (rounded to 2 decimal places)
Mean mass = (24 + 112 + 108 + 357 + 132) / 64 = 733 / 64 = 15.45 kg (rounded to 2 decimal places)
Table 4 shows the values of two variables, x and y, of the function y = x² – 8x + 3. Complete table 4: | x | -3 | -2 | -1 | 0 | 1 | 2 | 3 | 4 | |---|----|----|----|---|---|---|---|---| | y | | | | | | | | | Fill in the values of y for each x.
y values: 23, 12, 3, -4, -12, -15, -14, -9
y values: 23, 10, 1, -6, -14, -17, -16, -11
y values: 21, 12, 5, -2, -10, -13, -12, -7
y values: 25, 14, 3, -2, -10, -13, -12, -7
By using a scale of 2 cm to 1 unit on the x-axis and 2 cm to 5 units on the y-axis, what is the minimum value of y for the graph of y = x² – 8x + 3 for –3 ≤ x ≤ 4?
-13
-5
3
-7
Encik Arif built a rectangular fish pond with width 2q m and length of p m as shown in Diagram 22. He also built a mini bridge on the fish pond. Calculate the pond area that is not covered by the mini bridge.
Area not covered = (2q × p) - (2 × 2q) = 2q(p - 2) m²
Area not covered = (2q × p) - (p × 2) = 2q(p - 2p) m²
Area not covered = (2q × p) - (2q × 2) = 2q(p - q) m²
Area not covered = (2q × p) - (2 × p) = 2q(p - p) m²
Encik Arif built a rectangular fish pond with width 2q m and length of p m. If the pond width is added 2 m and the length is added with 3 m, calculate the whole area of the fish pond.
Whole area = (2q + 2) × (p + 3) m²
Whole area = (2q + 3) × (p + 2) m²
Whole area = (2q + p) × (2 + 3) m²
Whole area = (2q × p) + (2 × 3) m²
A paper bag contains 5 red scarfs, 3 green scarfs, 6 purple scarfs and a few black scarfs. The probability of choosing a black scarf is 0.3. State the total number of scarfs in the paper bag.
20
15
18
25
A paper bag contains 5 red scarfs, 3 green scarfs, 6 purple scarfs and a few black scarfs. The probability of choosing a black scarf is 0.3. Asyfaa randomly choose a scarf. Calculate the probability of choosing not a red scarf.
Probability of not red scarf = (Total - 5) / Total = (20 - 5) / 20 = 15/20 = 0.75
Probability of not red scarf = (Total - 3) / Total = (20 - 3) / 20 = 17/20 = 0.85
Probability of not red scarf = (Total - 6) / Total = (20 - 6) / 20 = 14/20 = 0.70
Probability of not red scarf = (Total - 0) / Total = (20 - 0) / 20 = 20/20 = 1.00
If there are 2 black scarfs, 5 green scarfs, 2 purple scarfs and a red scarf added into the paper bag, calculate the probability of choosing a red scarf.
0.2
0.1
0.5
0.25
