Sunday, December 8, 2024

Cadet college Admission Test -2025

           

                                         MATHEMATICS

                             Model Question-01 Time – One Hour

Q-1.Write down the Correct Answer From the multiple choice Question 

 

(i).How many meter in a yard? (a) 2.54m (b) 1.09m (c) 0.914m (d) 90.35m

(ii).The Multiplicative inverse of  is (a)  (b)    (c)   (d)

(iii).How many sides of your book (a) 6 (b) 8 (c) 10 (d) 12

(iv). How many cm  in a feet (a) 2.54cm (b) 12cm (c) 30.48cm (d) 40.35 cm

(v).How many Surface  of a cube  (a) 6  (b) 2 (c) 5 (d) 3

(vi).Which one is the British unit (a) Meter (b) Centimeter (c) Inch (d) Hand

(vii) 1cubic feet =…… cubic inch  (a) 24  (b) 12 (c) 144 (d) 36

(viii).How many dimension of sphere (a) 6  (b) 2 (c) 5 (d) 3

(ix). How many number symbol of Algebra (a) 10  (b) 12 (c) 11 (d) 3

(x). The median among the numbers 20, 8,10,19, 14,18 is. (a) 15  (b) 14 (c) 18 (d)16

(xi). If  and   what is the value of  (a) 6  (b) 2 (c) 5 (d) 3

(xii). What is the coefficient of   in   (a) 6  (b) 4 (c) 5 (d) 10

(xiii). Which is the constant  terms of   (a) 10  (b) 15 (c) -2 (d) 5

(xiv). If  what is the value of   (a) 10  (b) 15 (c) -2 (d) 5

(xv).  (a)  (b)  (c)  (d)  

 

Q-2Answer the following Question in one word

(a)What is the area of Rhombus

(b) Write a linear equation with two variables

(c).What is the common term of  2,7,12,17….. 

(d).If -1,1,0,1,1,2,3,5 …………… write next two terms

(e).3+6+12+24+…… what is the 7th term

(f).If,   ,   and    Find the value of     

(g). Which number’s 15% is 450 

(h) If  what is the value of

(i).Five times of a number is 24 more than its  find the number

(j). Find the H.C.F of 6.3 and 0.  

 

Q-3Answer the following Question 

(a).In class six 85% student pass in Math, 80% students pass in Bangla and 70% pass in both subject. If 35 students failed in both subject, How many students in class

(b) A boat man goes 21km in 3 hours by playing oar along current and return 7 hours. Find the speed of oar and current.

(c) A gift box is lock with three secret number find it

2

9

1

One digit is correct and in right place

2

4

5

One digit is correct but not in right place

4

6

3

Two digit is correct but not in right place

5

7

8

None of  digit is correct.

5

6

9

One digit is correct but in wrong place

 (d)A football is fit in a cubical box whose length of a sides is 12cm . Find the volume of football.

 

(e).If  ,   ,     then find

    

(f).24 people can do a work by 45 days. How many extra people needed if it complete it within 30 days

(g). Mr. Zaman deposit 48000 tk at 15% interest. What amount he received after 7 years.

(h). A fruit seller bought 20 mangoes and sell 25 mangoes  in same amount of money. What percentage of loss or profit he did?

(i). Base of a triangle  more than twice its height. If area  find the height.

(j). the student of class-6 can be arrange 12,18,24, in each row .Also they can be arrange in square . How many student in the class. 

(k). Area of the floor of a rectangular room is 192sq.m. If the length of the floor is 4m more than breath. Find the length and breath.

(l) A train of 240 length travel 40km/h. How long time need to cross a pole.

(m). Length of a rectangular plot is 3 times of breath . Walk around the plot makes 1 km. Determine the length and breadth of plot.

 

Q-4.Solve the following Problems   

(a).What is the height number of people 123 Apples 300 mangoes and 260 orange can be equally distribute such that 4 Apples, 11 mangoes and 5 orange will be left.

(b).Three friend divided some money such that Kamal got  part , Jamal got  part and Rafi got 22000 tk. What is the total amount of money. 

(c).The length of a rectangular flower garden is 120m and breath 80m for nursing the garden there is cross path with 3m. width all along its length and breath right at the middle of the garden.

(i)Determine the area of the path

(ii)How many bricks of 25cm length and 12.5cm width be required to make the path metaled.

(d).Sum of the Present age Father and son is 48years.

(i) If father is seven times of his son. Find their age

(ii) After how many years ratio of their age will be 3:1

(e).A shopkeeper give 12.5% discount in special day. Meena bought a product 1400tk . what is the original prize of the product .

(f).The length of rectangular region is twice its width. Its area 512sq.m

(i)Determine its perimeter

(ii) Convert its length into feet

(g). Simplify,