# Form 4 Mathematics Sample Revision Questions and Answers Set 2

Form 4 Mathematics Sample Revision Questions and Answers Set 2

Lessons (**16**) * SHARE*

- 1.
The dimensions of a rectangle are measured and given as 6.9 cm by 3.06 cm, calculate to 4 significant figures the percentage error in the area.

8m 36s - 2.
Construct rectangle ABCD in which AB = 4cm and BC = 3cm. Inside the rectangle construct the locus of point L1 which is 3 cm from A; Locus of L2 which is equidistant from line AB and AD and locus of point L3
which is 2cm from line AB.

14m 57s - 3.
State the amplitude and the phase angle of the curve
#y = 2sin{3/2x-30}#

1m 1s - 4.
Express as a surd and simplify #( 1+cos30)/(1-sin60)#

8m 55s - 5.
Solve for x
#log_27 (x + 5)–log_27(x–3) = (2)/(3)#

3m 46s - 6.
Point P #(X^0N, 30^0E)# and Q#(X^0N, 50^0 E)# are 1935 km apart. Taking R = 6370km and #pi# = #22/7#, Find the value of x

4m 17s - 7.
The equation of a circle is #x^2 + 4x + y^2 - 5 = 0#. Find the center and the radius of the circle.

4m 23s - 8.
Wanyama bought maize flour, sorghum and millet at sh 12, sh 15 and sh 18 per kg respectively. He mixes them in the ratio 1: 2 : x respectively. After selling the mixture at sh 19.20 he made a profit of 20%. Find the value of x.

6m 14s - 9.
Chord AB and CD in the figure shown below intersect externally at Q. If AB=5cm, BQ=6 and DQ=4cm. Calculate the length of chord CD.

2m 39s - 10.
Find the value of x given that the matrix is a singular matrix. #((x+7,4),(-3,x))#

3m 14s - 11.
Given that z varies directly as the square of x and inversely as the square root of y. If x = 2, y= 9 when z = 3, find z when x = 3 and y = 4.

4m 59s - 12.
The marks of 80 students in a Mathematics test are shown in the table below.

5m 46s - 13.
The image of a point Q(1,2) after a translation is Q1 (-1,2). What is the co-ordinate of the point R whose image is R1(-3, -3) after undergoing the same translation?

3m 53s - 14.
Make q the subject of the formula
#A/B = sqrt((p+3q)/(q-3p)#

3m 4s - 15.
If a certain unfair coin is tossed, the chance of obtaining a tail is 25%. Find:-
a) The probability of getting two heads when the coin is tossed twice.
b) The probability of obtaining at least one tail when the coin is tossed twice.

3m 52s - 16.
During inter-school competitions, rugby and football teams from Ranje sec school took part. The probability that the rugby would win their first match was #1/8# while that the handball team could
lose was #4/7# . Find the probability that;
(a) Both teams won their first matches.
(b) At least one team won the first match

4m 0s

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