Form 4 Maths 19/7/2015

Revisions

1. Round off 5961 correct to two significant figures

2. Express 765 000 as a number in the standard form

3.5.4 X 10−2

3 X 10−6

4. The area of a rectangular piece of land is 73 000m2 . If its length is 1.2 X 102 m, then its width in m is

5. Solve the equation p (p + 5) = 24

6. Factorise 36x2 – 25 in the simplest form

7. In a class consisting of x pupils, 10 are girls. On a certain day, one of the boys in the class was absent. The number of boys present on that day was……..

A. x – 9 B. 9 – x C. x -10 D. x – 11

8. Given that the universal set ξ = { p, q, r,s, t}, X = {p, r, s, t} and Y = {q, r, s}, then n ( X ∩ Y)’

9. Given that {2,3} is a subset of the set P, which of the following cannot be set P?

A. {2, 7, 3} B. {3, 5, 2} C. {2, 7, 9} D. { 6,2, 3}

10. In the figure 1 below the lines AB and PQ are parallel. The equation of the line PQ is 5x – 2y + 3 = 0

Determine the values of h and k if the equation of AB is 2y + hx + k = 0

y

B

P

(0,5)

x

A

Q

11. In the figure 2 below ABC is a straight line. Find the coordinates of A if A is on the y-axis

y

X C (-10,8)

X B (-5,2)

x

A

12. Given that (2, 9) is the point of intersection of the straight line y = 5x + h and y = 2x + k. The values of h and k

A. h = 2; k = 3 B. h = -1; k =5 C. h = -2; k =3 D. h = -1; k = -2

13. Figure 3 shows a set of data where x represents an integer. The mean for the data is 9. Calculate the difference between the mode and median

5, x, x, 12, 10, 15

A. 1 B. 1.5 C. 5.5 D. 7

14. The table 1 below shows the marks and frequency. If the median is 3, calculate the maximum value of y

Marks 1 2 3 4 5 6

Frequency 7 8 5 y 6 6

A. 4 B. 8 C. 7 D. 10

15. A box contain 15 red cards, 3 blue cards and several yellow cards. A card is chosen at random from the

box. The probability of choosing a blue card is 19

. Find the probability of choosing a yellow card____

16. Figure 4 shows some cards marked with letters are put into a box.

S E L F C O N T R O L

A card is picked at random from the box. The probability that the card is marked with a vowel is ____

17. A class has 28 girls and a number of boys. A pupil is picked at random from the class. The probability of

picking a girl is 78

. How many boys are there in the class?

18. P

J

K

L M

Find the angle JKL

19. In the figure 6, KLM is a tangent to the circle, with centre O at L

N

O

144

40°

0

048

K

20. In figure 7, two circles touch each other at point V. WS is a common tangent to the two circles whose centres are O and P respectively. TOW and QPS are straight lines. Find the values of x and y.

Section B

1. Figure 8 shows a parallelogram ABCD and O is the origin. Given that the gradient of the straight line BC is 1 and y-intercept of the straight line CD is 36. Find

a) the value of r

b) the equation of straight line CD

c) the x-intercept of the straight line CD

2. a) State whether the following statement is true or false

-5 > -3 and 12 are multiples of 3

b) Write two implications based on the statement below

“ 2k – 1 > 9 and only if k > 5 “

c) Given that the total interior angle of a regular polygon of n sides is (n – 2) X 180°. Make conclusion

by deducting on the size of the total interior angles of a regular pentagon.

d) Complete the premise in the following argument

Premis 1 : ____________________________________

Premis 2 : David is not offered a scholarship

Conclusion: David does not do well in the examination

3. The length of a rectangular plot of land is 12 cm more than its width. The area of the land is 189 cm2.

a) Form a quadratic equation in the term of x

26

b) Solve the equation, and hence find the length and width of the plot of land.

4. The Venn diagram below shows ξ=E∪F∪G . On the diagrams provided, shade the following sets

a) E ∩G ' b)

ξ

5. The data in figure 9 shows the length in cm of 40 pieces of ribbons in a box

152 156 140 162 163 158 163 153 153 173

163 153 157 156 146 162 165 162 163 158

174 150 175 165 164 148 155 166 168 159

145 160 156 172 169 170 141 173 160 178

(a) Using the data in figure 9 and class interval of 5cm, complete the table 2

Length (cm) Upper boundary Frequency Cummulative Frequency

(b) State the modal class

(c) Use a graph paper to answer this part of question

i. Using a scale of 2cm to 5cm on the horizontal axis and 2cm to 5 pieces of ribbons on the vertical axis, draw an ogive for the data.

ii. Hence find the median

iii. Explain briefly the meaning of median