Category: FORMULAE & VARIATIONS

K.C.S.E Mathematics Q & A - MODEL 2001PP2QN004

8/8/2020

Form 3 Mathematics

Two valuables A and B are such that A varies partly as the square of B. Given that A = 30,when B = 9, and A= 16 when B = 14, Find A and B.

aNSWER

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K.C.S.E Mathematics Q & A - MODEL 2001PP1QN10

21/7/2020

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Form 3 Mathematics

Make x the subject of the formula

Answer

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K.C.S.E Mathematics Q & A - MODEL 2000PP2QN20

14/7/2020

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Form 3 Mathematics

The charge, C shillings per person for a certain seminar is partly fixed and partly inversely proportional to the total number N of people.

(a) Write down the expression for C in terms of N
(b) When 100 people attended the charge is Kshs 8,700 per person while for 35 people the charge is Kshs. 10,000 per person
(c) If a person had paid the full amount and does not attend, the fixed charge is refunded. A group of people paid but ten per cent of them did not attend. After the refund the organizer remained with Kshs 574,000. Find the number of people initially in the group.

Answer*

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K.C.S.E Mathematics Q & A - MODEL 2000PP2QN15

14/7/2020

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Form 3 Mathematics

Make x the subject of the formula

Answer

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K.C.S.E Mathematics Q & A - MODEL 1998PP2QN21

13/6/2020

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Free 1998 K.C.S.E Mathematics Topical Question & Answers Paper 2

Two variables R and V are known to satisfy a relation R = kVⁿ, where k and n are constants. The table below shows data collected from an experiment involving the two variables R and V.

(a) Complete the table of log V and R given below, by giving the value to 2 decimal places.

(a) On the grid provided draw a suitable straight line graph to represent the relation R= kVⁿ
(b)
- (i) the gradient of the line
- (ii) a relationship connecting R and V.

ANSWERS

K.C.S.E Mathematics Q & A - MODEL 1998PP2QN21

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K.C.S.E Mathematics Q & A - MODEL 1998PP1QN09

7/6/2020

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K.C.S.E Mathematics Q & A - MODEL 1998PP1QN09

A quantity T is partly constant and partly varies as the square root of S.

a) Using constants a and b, write down an equation connecting T and S.
b) If S = 16, when T = 24 and S = 36 when T = 32, Find the values of the constants a and b.

ANSWER

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K.C.S.E Mathematics Q & A - MODEL 1997PP2QN21

3/6/2020

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K.C.S.E Mathematics Q & A - MODEL 1997PP2QN21

The volume v cm³ of a solid depends partly on r² and partly on r³ where r cm is one of the dimensions of the solid

When r = 1, the volume is 54.6 cm³ and
When r = 2, the volume is 226. 8 cm³

(a) Find the expression for v in terms of r
(b) Calculate the volume of the solid when r = 4
(c) Find the value of r for which the two parts of the volume are equal

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K.C.S.E Mathematics Q & A-MODEL 1997PP1QN13

20/5/2020

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Given that y = b - bx² make x the subject

K.N.E.C Marking Scheme

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K.C.S.E Mathematics Q & A-MODEL 1996PP2QN24

16/5/2020

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Data collected form an experiment involving two variables X and Y was recorded as shown in the table below.

The variables are known to satisfy a relation of the form y = ax³+ b where a and b are constants

(a) For each value of x in the table above, write down the value of x³ ( 2 marks)
(b)
- (i) By drawing a suitable straight line graph, estimate the values of a and b ( 2 marks)
- (ii) Write down the relationship connecting y and x