B.A.F. Shaheen College Dhaka Practice Pre-test examination-2020
Class-VIII (English Version) Subject: Mathematics (Creative)
Time: 2 H. 30. Min. Marks: 70
Group –A (Arithmetic)
Answer any two of the following: -
1. 5,13,21,29,37--- 10 x 2 = 20
a) Express 130 and 185 as the sum of two squares 2
b) Find the next five number in the list 4
c) Find the sum of the first 50 numbers in the list. 4
2. A Principal is turned to an amount in 3 years of tk.28,000 and in 5 years of tk. 30,000 at simple interest.
a) Using the symbols in detail, write the formula for principal. 02
b) Find out the rate of interest. 04
c) How much principal should be deposited to get the amount of tk. 48,000 at the same rate of interest?
04
3. A Rectangular iron bar is 8.8 cm long, 6.4 cm wide and 2.5 cm high. The iron bar is kept in a pot measuring 15cm x 6.25cm x 4cm and the pot is filled with water. Iron is 7.5 times heavier than water.
a) Find out the volume of the water pot. 02 b) Find out the weight of the iron bar. 04
c) The iron bar is taken out of the fully filled water pot what will be the height of the water in the pot ? 04
Group – B (Algebra)
Answer any two of the following :- 10 x 2 = 20 4) x + 1x = 4 and x>1
a) Resolve in to factors: by2- (b2+1) y + b 02 b) Prove that x3 - 1
x3 = 30√3 04 c) Find the value of (x5 + x15) 04
5) A = (𝑥−𝑌)
2+4𝑥𝑦
𝑎3−𝑏3−3𝑎𝑏(𝑎−𝑏) , B = 𝑥
3+𝑦3+3𝑥𝑦 (𝑥+𝑦)
(𝑎+𝑏)2−4𝑎𝑏 , C = 𝑥2+6𝑥+52𝑥 & D = 𝑥32𝑦+125 are the four algebraic fractions.
a) Divide (1+ 2𝑥) by (1- 𝑥42) 02 b) Simplify: A ÷ B x 𝑎𝑏−𝑏𝑥𝑦−𝑦22 04 C) Express C and D in the form of a common denominators. 04
S. Code: 1 0 9 Subject Code: 1 0 9
6) 3x - 4y = 4 and 2x-3y =2 are two simple equations.
a) The sum of two number is 260 and smaller number is 1
3 of larger number. Find
the smaller number. 02 b) Determine (x,y) by elimination method. 04 c) Solve the two equations with the help of graph. 04
Group – C (Geometry)
Answer any Two of the following:- 10 x 2 = 20 7) ABCD is a parallelogram the diagonals AC & BD bisect at 0.
a) Find out the value of ∠ABC if ∠BAD = 70o 02 b) If AC=BD, prove that ABCD is a rectangle. 04
c) If AB=AD, prove that AC and BD bisect at the point '0' at right angle. 04 8) Two adjacent sides of a parallelogram are 4cm and 3cm and their included angle
is 60o
a) Express the above information in a figure. 02 b) Draw the parallelogram with the description of drawing. 04
c) Draw a square with a diagonal equal to the larger diagonal of the parallelogram.
Give the description of the drawing. 04 9) In ∆ABC, ∠A=90o,BP and CQaretwo medians.
a) Bisect ∠A with the pencil compass. 02 b) prove that BC2 = CQ2 +3 AQ2 04 c) prove that 5BC2 = 4(BP2 + CQ2) 04
Group – D (Statistics)
Answer any one of the following:- 10 x 1 = 10 10) The marks obtained in mathematics by 30 students of class VIII are given
below.
51,57,62,48,53,45,82,67,68,72,70,75,69,63,64,56,54,63,80,70,74,77,65,64,78,64,58 ,83,58,55.
a) Taking 5 as Class interval find the number of classes. 02 b) Make the frequency distribution table with 5 as class interval and find the
arithmetic means from the table. 04 c) Find out the median and mode. 04 11) The frequency distribution table of the marks obtained in Bangla by 100
students of class eight is as follows: -
Class interval 26-35 36-45 46-55 56-65 66-75 76-85 86-95
Frequency 6 11 16 25 22 15 5
a) How many measurements of central tendency? What are they ? 02 b) Find the arithmetic mean from the table. 04 c) Draw histogram from the given data with description. 04
