TED (22) –1001 REVISION – 2022
FIRST YEAR KGCE EXAMINATION
BASIC MATHEMATICS & SCIENCE
MODEL QUESTION PAPER
COMMON TO ALL KGCE PROGRAMS
(Time : 3 hours) (Maximum Marks: 60)
PART-A
(There should be at least 3 questions from each module)
(Maximum Marks: 20x1 Marks = 20 Marks)
I. Answer the following questions by choosing the correct answer from the options given below.
Each question carries 1 mark.
Q
Question Module
No
1 1 1
The value of + + is
2 4 8
1 6 7 9 5 M 1.1
a) b) c) d)
8 8 8 8
The ratio of 60 cm to 1.2 m is
2 M 1.1
a) 2:3 b) 3:2 c) 1:2 d) 2:1
If x:8 :: 15:40, then x is
3 M 1.1
a) 3 b) 4 c) 5 d) 2
If x=2, y=3 and z=5, then the value of (3x+2y-z) is equal to
4 a) 8 b) 7 c) 9 d) 3 M 1.1
If (x+1)2 = 36, then the value of x is given by
5 a) x = 5 b) x = 5 and x = -7 M 1.1
c) x = -7 d) -5 and x = 7
Volume of a cube with side length 5cm is
6 a) 25 𝑐𝑚2 b) 125 𝑐𝑚3 M 2.1
c) 125 𝑐𝑚2 d) 25 𝑐𝑚3
The ratio of circumference to diameter of a circle is
22
a) 3.14 b)
7
7 c) 𝜋 d) 1 M 2.1
Q
Question Module
No
If sin 𝜃 = 3, then cosec 𝜃 is
5
8 5 4 5 1 M 2.1
a) b) c) d)
3 5 4 2
Value of cos 600 sin 300 is
9 1 1 M 2.1
a) 1 b) 2 c) d)
4 2
The degree measure of 𝜋 radian is
10 4 M 2.1
a) 600 b) 300 c) 900 d) 450
1 kilogram = gram
11 a) 10 b) 100 M 3.1
c) 1000 d) 0.01
The unit of distance is
12 a) metre b) gram M 3.1
c) second d) none of the above
Mass per volume is called
13 a) Pressure b) Energy M 3.2
c) Work d) Density
The unit of work is _
14 a) Joule b) Watt M 3.2
c) m/s d) m-s
Velocity is the rate of change of
15 a ) Distance b) Length M 3.2
c) Displacement d) None of the above
Kelvin is the unit of
16 a) Pressure b) Heat M 4.1
c) Temperature d) Speed
The instrument used to measure the temperature is
17 a) Stethoscope b) Thermometer M 4.1
c) Calorimeter d) Degree Celsius
AC stands for
18 a) Alternating circuit b) Alternating contact M 4.2
c) Alternating current d) All the above
Q
Question Module
No
The unit of current is ------
19 a ) Ampere b) Voltage M 4.2
c) Watt d) DC
The voltage across a conductor is 2V and a current of 1A flows through the
conductor. What is the resistance of the conductor?
20 M 4.2
a) 1 ohm b) 10 ohm
c) 1/2 ohm d) 2 ohm
PART-B
(There should be at least 2 questions from each module)
(Maximum Marks: 8x5 Marks = 40 Marks)
II. Answer any eight questions from the following. Each question carries marks.5 Marks.
Q
Question Module
No
1 Two numbers are in the ratio 3:4. If their sum is 77, find the numbers? M 1.1
2 The sum of side of a square and its half is 63. Find the side of the square. M 1.1
The first, second and third terms of the proportion are 42, 54 and 24. Find
3 M 1.1
the fourth term?
4 A circle has a radius of 23cm. Find its circumference and area? M 2.1
If tan 𝐵 = 1, where B is an acute angle in a right triangle ABC. Find sin 𝐵
5 2 M 2.1
and cos 𝐵?
6 Prove that: tan 𝑥 + cot 𝑥 = sec 𝑥 cosec ? M 2.1
7 Write a note on systems of units? M 3.1
8 Differentiate between Mass and weight? M 3.2
9 Differentiate between speed and velocity? M 3.2
10 Write any two differences between heat and temperature? M 4.1
11 State and explain Ohm’s law? M 4.2
12 How can we determine resistance of a metal? M 4.2
