arrow_back

Kedah Trial 2022 Mathematics Kertas 1

1
$$0.00516 - 7.33 \times 10^{-4} =$$
2
Round off 0.01997 correct to three significant figures.
3
Given that $25^x = 5$. Find the value of x.
4
Express $1172_8$ as a number in base six.
5
Diagram 5 shows the prices for the two watch models displayed in different bases. Rajah / Diagram 5 Given that X is the largest possible digit for the price of Model P watch and the prices for both models are the same. Determine the value of X and the value of Y.
6
It is given that y varies directly as x and y = 3.6 when x = 2.25. Express y in terms of x.
7
Diagram 7 shows the relation between set P and set Q. Rajah / Diagram 7 Identify the relation between set P and set Q.
8
Kavinesh wants to cut a piece of card into several rectangles. Given the number of rectangles, Z varies inversely with the length, p cm, and width l cm, of each of the rectangles. Given Z = 2 when p = 9 and l = 6. Find the number of rectangles when the length and width are 3 and 2 respectively.
9
Which of the following matrices does not exist inverse.
10
Given that $m(4 \quad 2n) = (8 \quad 4)\begin{pmatrix} -2 & 3 \\ 6 & -1 \end{pmatrix}$, find the values of m and n.
11
Alycia was driving at a speed of 60 km/h. Then she accelerates up to 100 km/h in a duration of x minutes. If the acceleration is 120 km/h$^2$, find the value of x.
12
Diagram 12 shows a straight line drawn on a Cartesian plane. Rajah / Diagram 12 Which of the following is the equation of the straight line?
13
Express $\frac{pq^2 - 16p}{pq} \div \frac{pq + 4p}{7q}$ as a single fraction in its simplest form.
14
Given $p=\sqrt{\frac{1+q}{r}}$. Express r in terms of p and q.
15
If $\frac{x}{y}=49$ then $\frac{7y}{x}=$
16
Safura bought x pieces of hari raya cards for RM1.20 each. She paid RM20 and received balance more than RM5. State the correct inequality based on the information above.
17
In diagram 17, M is the center of the two quadrants of the circles MLN and MYX while N is the center of the two quadrants of the circles NTW and NUV located in the square KLMN. Rajah/ Diagram 17 Which of the points A, B, C and D is the intersection of the locus of two points which move 8 cm from M and more than 4 cm from N
18
In Diagram 18, QST is a common tangent to the circles with centre K and U. KRSU is a straight line. Rajah / Diagram 18 Find the value of x + y.
19
Diagram 19, PQRST is a regular pentagon, SUT is a straight line. Rajah /Diagram 19 Find the value of x
20
Diagram 20 shows a regular octagon PQRSTUVW. WXT is part of the sides for a regular polygon. Rajah / Diagram 20 Find the number of sides of the polygon.
21
Diagram 21 shows point, P drawn on square grids. Q is an image of P under the translation $\binom{5}{-3}$. Rajah / Diagram 21 Which of the points A, B, C and D, is Q?
22
In Diagram 22, K'L'M'N' is the image of KLMN under an enlargement at a centre. Rajah / Diagram 22 Calculate the scale factor an enlargement above.
23
Diagram 23 shows a tower and a building located between P and Q. R is a peak of the tower. Rajah / Diagram 23 Given that the angle of depression of building P from the peak of the tower, R is 38°. The height of the tower is 165.5 m. Find the value of x.
24
Diagram 24 shows a graph for a trigonometric function for $0^\circ \le x \le 360^\circ$. Rajah / Diagram 24 Which function represents the function for the Diagram 24?
25
Diagram 25 shows the perimeter of square P and square Q are 32 cm and 8 cm respectively. Rajah / Diagram 25 Given that square P is the scale drawing of square Q, find the scale used.
26
Given that graph T(V,E) when E={(F,G), (K, F),(H, G), (J, H), (J, I),(H, I)}. State the vertex with maximum $d_{in} (V)$
27
A tree has P, Q, R and S vertices. Which of the following is possible set of its edges.
28
Given the universal set $\xi = L \cup M \cup N$. Set L = {2, 5, 6, 7, 8, 9}, set M = {1, 3, 4, 6, 7, 9} and set N = {3, 6}. List all the elements of set N'.
29
Given that set M = {e, f, i, j, k}, set N = { e, i, j, k, l} and set P = { e, f, i, j, l}. Find the compliment of intersection of the sets M, N and P.
30
If k is a perfect square, then $\sqrt{k}$ is an integer. State the contrapositive of the statement.
31
In a crossword competition, the organizer have received a total of 100 entry forms from all over Kedah to be evaluated. The probability of choosing the entry form from Kuala Muda Yan district is $\frac{1}{5}$. Calculate the number of entry forms that are not from Kuala Muda Yan district.
32
Diagram 32 shows three cards in Box X and two card in Box Y. Kotak / Box X Kotak / Box Y Rajah / Diagram 32 Two cards are picked at random, the first card is picked from Box X and the second card is picked from Box Y. Which of the following sample space is correct?
33
Table 33 shows the number of book sold by a shop in a week. | Days | Number of magazines | | :-------------------- | :-------------------- | | Sunday & Monday | x + 3 | | Tuesday & Thursday | 12 | | Wednesday & Friday | 2x | | Saturday | 7 | Rajah / Diagram 33 The mean of the number of the magazines sold by the shop a day in a week is 7. Find the value of x.
34
The mean value of the four numbers is 90. Two of the numbers are 60 and 72. The values of the other two numbers are x for each one of them. If each value of x is subtracted by 8, calculate the new mean value of the four numbers.
35
Diagram 35 shows a dot plot that represents the average of revision hours per day for 21 pupils from SMK Tunas Cemerlang. Rajah / Diagram 35 Calculate the new range for the dot plot above if each value is multiplied by 2.
36
Table 36 shows the number of books borrowed by 20 pupils in September 2022. | Number of books | 1 | 2 | 3 | 4 | 5 | | Number of pupils | 3 | 5 | 8 | 2 | 2 | Jadual / Table 36 Calculate the variance.
37
Farhana invested in Jerai Holdings company with 8 000 units of shares worth RM1.20 per unit. The company declared a dividend of 5%. After receiving the dividend, Farhana sold all the shares for RM1.60 per unit. Calculate the value of Farhana's return on investment.
38
Table 38 shows the monthly expenditure ratio for Suraya and Adam. | Suraya's expenses ratio | Adam's expenses ratio | | Food | Stationary | Book | Food | Stationary | Book | | 5 | 4 | 7 | 2 | 1 | 3 | Jadual / Table 38 Suraya's total expenses are RM144, while Adam's total expenses are RM168. Which of the following expenses is not true?
39
Ikhwan has a medical insurance policy with a deductible provision of RM1 000 and a 85/15 co-insurance percentage participation clause in his policy. recently, he underwent liver surgery and his medical bill is RM120 000. How much is the payment cost borne by the insurance company?
40
Tajul owns a terrace house with an estimated annual value of the house is RM6 000. Calculate the property assessment tax payable by Tajul for each half-year if the property assessment tax rate is 5.5%?
Papers are for study reference only; copyright belongs to the original publisher. Contact us to request removal.