Category: FORMULAE & VARIATIONS

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

13/6/2020

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

Comments

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

Comments

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

Comments

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

20/5/2020

Comments

Given that y = b - bx² make x the subject

K.N.E.C Marking Scheme

Comments

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

16/5/2020

Comments

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

K.N.E.C Marking Scheme

Comments

K.C.S.E Mathematics Q & A-MODEL 1996PP1QN14

13/5/2020

Comments

Make V the subject of the formula:

T = ½ m (u² – v²) (3 marks)

MARKING SCHEME

Comments

K.C.S.E Mathematics Q & A-MODEL 1995PP2QN15

12/5/2020

Comments

Two variables P and L are such that P varies partly as L and partly as the square root of L. Determine the relationship between P and L when L = 16, P = 500 and when L = 25, P = 800.

5 marks

marking scheme

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K.C.S.E Mathematics Q & A-MODEL 1995PP1QN6

7/5/2020

Comments

The volume Vcm³ of an object is given by:

\[V = \frac{2}{3}\pi r^{3}[\frac{1 - 2}{s c^{2}}]\]

Express c in terms of π, r, s and V

MARKING SCHEME

3 MARKS

Comments

KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

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

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

21

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

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

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

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

Given that y = b - bx² make x the subject

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

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

K.C.S.E Mathematics Q & A-MODEL 1996PP1QN14

Make V the subject of the formula:

T = ½ m (u² – v²) (3 marks)

K.C.S.E Mathematics Q & A-MODEL 1995PP2QN15

Two variables P and L are such that P varies partly as L and partly as the square root of L. Determine the relationship between P and L when L = 16, P = 500 and when L = 25, P = 800.

K.C.S.E Mathematics Q & A-MODEL 1995PP1QN6

The volume Vcm³ of an object is given by:

Express c in terms of π, r, s and V

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KCSE MATHEMATICS QUESTIONS AND SOLUTIONS

Topically Analysed

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

21

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

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

Given that y = b - bx2 make x the subject

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

Make V the subject of the formula:

T = ½ m (u2 – v2) (3 marks)

Two variables P and L are such that P varies partly as L and partly as the square root of L. Determine the relationship between P and L when L = 16, P = 500 and when L = 25, P = 800.

The volume Vcm3 of an object is given by:

Express c in terms of π, r, s and V

Categories

Archives

Author

HIGH SCHOOL RESOURCES

COLLEGE RESOURCES

FREE NOVELS

PRIMARY SCHOOL RESOURCES 8-4-4

PRIMARY SCHOOL RESOURCES CBC

Send Us a Message

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

Given that y = b - bx² make x the subject

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

T = ½ m (u² – v²) (3 marks)

The volume Vcm³ of an object is given by: