MATHEMATICS
(Two hours and a half)
Answers to this Paper must be written on the paper provided separately.
You will not be allowed to write during the first 15 minutes.
This time is to be spent in reading the question paper.
The time given at the head of this Paper is the time allowed for writing the answers.
Attempt all questions from Section A and any four questions from Section B.
All working, including rough work, must be clearly shown and must be done on the
same sheet as the rest of the answer.
Omission of essential working will result in loss of marks.
The intended marks for questions or parts of questions are given in brackets [ ].
Mathematical tables are provided.
SECTION A (40 Marks)
Attempt all questions from this Section
Question 1
(a) Find the value of a and b if x 1 and x 2 are factors of x 3 ax b . [3]
(b) In the figure given below, ABCD is a parallelogram. E is a point on AB.
CE intersects the diagonal BD at G and EF is parallel to BC.
If AE : EB = 1 : 2 find
(i) EF : AD
(ii) area of triangle BEF : area of triangle ABD [3]
D C
F
G
A B
E
57 ICSE Specimen Question Paper
, (c) On a certain sum of money, the difference between the compound interest
for a year, payable half yearly, and the simple interest for a year is Rs 16.
Find the sum lent out, if the rate of interest in both cases is 8 % . [4]
Question 2
(a) Plot the points A(9,6) and B(5,9) on the graph paper. These two points are
the vertices of a figure ABCD which is symmetrical about x = 5 and y = 6.
Complete the figure on the graph. Write down the geometrical name of
the figure. [3]
(b) In the diagram given below EDC. The tangent drawn to the circle at C
makes an angle of 500 with AB produced. Find the measure of ACB. [3]
E
D
C
G
A B
(c) PQRS is a square piece of land of side 56 m. Two semicircular grass
covered lawns are made on two of its opposite sides as shown in the figure.
Calculate the area of the uncovered portion. [4]
S R
P Q
58 ICSE Specimen Question Paper
(Two hours and a half)
Answers to this Paper must be written on the paper provided separately.
You will not be allowed to write during the first 15 minutes.
This time is to be spent in reading the question paper.
The time given at the head of this Paper is the time allowed for writing the answers.
Attempt all questions from Section A and any four questions from Section B.
All working, including rough work, must be clearly shown and must be done on the
same sheet as the rest of the answer.
Omission of essential working will result in loss of marks.
The intended marks for questions or parts of questions are given in brackets [ ].
Mathematical tables are provided.
SECTION A (40 Marks)
Attempt all questions from this Section
Question 1
(a) Find the value of a and b if x 1 and x 2 are factors of x 3 ax b . [3]
(b) In the figure given below, ABCD is a parallelogram. E is a point on AB.
CE intersects the diagonal BD at G and EF is parallel to BC.
If AE : EB = 1 : 2 find
(i) EF : AD
(ii) area of triangle BEF : area of triangle ABD [3]
D C
F
G
A B
E
57 ICSE Specimen Question Paper
, (c) On a certain sum of money, the difference between the compound interest
for a year, payable half yearly, and the simple interest for a year is Rs 16.
Find the sum lent out, if the rate of interest in both cases is 8 % . [4]
Question 2
(a) Plot the points A(9,6) and B(5,9) on the graph paper. These two points are
the vertices of a figure ABCD which is symmetrical about x = 5 and y = 6.
Complete the figure on the graph. Write down the geometrical name of
the figure. [3]
(b) In the diagram given below EDC. The tangent drawn to the circle at C
makes an angle of 500 with AB produced. Find the measure of ACB. [3]
E
D
C
G
A B
(c) PQRS is a square piece of land of side 56 m. Two semicircular grass
covered lawns are made on two of its opposite sides as shown in the figure.
Calculate the area of the uncovered portion. [4]
S R
P Q
58 ICSE Specimen Question Paper
