REVISION EXERCISE MATHEMATICS FORM 4 (CHAPTER 1 CHAPTER 6)CLASS : 4A5 (21-5-2015)

1. The Venn diagram in the answer space shows set P, Q and R such that the universal set, = P Q R. On the diagram in the answer space, shadePQR

(a)

PQR

(b)

2. Calculate the values of x and y that satisfy the following simultaneous linear equations:

RTO14 cmQ600S7cm

3. Solve the quadratic equation:

4. Diagram below shows a parallelogram EFGH drawn on a Cartesian plane. Find(a) the equation of the straight line GH,(b) the y-intercept of the straight line GH.xyF(8, 6)GE(-4, 0)HO

5. In diagram below, TS and RQ are arcs of two different circles which have the same centre O. OQS is a straight line.

It is given that QOR = 60o and SOT = 90o. Using , calculate(a) the perimeter, in cm, of the sector OTS,(b) the area, in cm2, of the shaded region.

6.(a) State whether the following compound statement is true or false:

(b) Write down two implications based on the following compound statement:x3 = 125 if and only if x = 5

Implication 1 : _____________________________

Implication 2: ______________________________

(c) Make a general conclusion by induction for the sequence of numbers 5, 16, 51, which follows the following pattern:

Conclusion : ________________________

7. Diagram below shows a composite solid formed by the combination of a right pyramid and a cuboid with the square base ABCD.

The height of the pyramid is 7cm and the volume of the composite solid is cm3. Calculate(a) the volume, in cm3, of the right pyramid(b) the height, in cm, of the cuboid.VFEHGDABC8cm

8. The data in diagram below shows the lengths, in mm, of 36 leaves plucked from a tree in a garden.

204044635634756828

523832313378594115

426543433530464854

245843394149453347

(a) Based on the data in diagram above and using a class interval of 10, complete the table given below.

Length (mm)FrequencyCumulative frequencyUpper boundary

0 90

10 19

20 29

30 39

40 49

50 59

60 69

70 79

(b) Based on the table in (a), (i) State the midpoint of the modal class(ii) calculate the estimated mean of the length of the leaves.(c) By using a scale of 2cm to 10mm on the horizontal axis and 2cm to 5 leaves on the vertical axis, draw an ogive for the data.