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Opt. Math First UT - X - 2082

The document outlines the First Unit Test for Class X at Bagmati Boarding Secondary School, focusing on Opt. Mathematics. It includes two sets of questions (SET A and SET B) covering topics such as factor and remainder theorems, singular matrices, polynomial relations, quartile deviation, and solving equations using matrix methods and Cramer's rule. Each group of questions is categorized by difficulty and marks allocation.

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301 views1 page

Opt. Math First UT - X - 2082

The document outlines the First Unit Test for Class X at Bagmati Boarding Secondary School, focusing on Opt. Mathematics. It includes two sets of questions (SET A and SET B) covering topics such as factor and remainder theorems, singular matrices, polynomial relations, quartile deviation, and solving equations using matrix methods and Cramer's rule. Each group of questions is categorized by difficulty and marks allocation.

Uploaded by

dta_shuva
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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Bagmati Boarding Secondary School Bagmati Boarding Secondary School

Sukedhara, Kathmandu Sukedhara, Kathmandu


Class: X First Unit Test – 2082 F.M. 20 Class: X First Unit Test – 2082 F.M. 20
Time: 45 Minutes Opt. Mathematics SET A Time: 45 Minutes Opt. Mathematics SET B
Group A (1 × 3 = 3) Group A (1 × 3 = 3)
1) State factor theorem. 1) State Remainder theorem.
2) If the matrix is a singular matrix, find the value of x. 2) If the matrix is a singular matrix, find the value of x.
3) If f(x), q(x), d(x) and r(x) represent polynomial, quotient, divisor and 3) If (x – 2) is a factor of x3 – 6x + 4, what is the value of f(2).
remainder respectively. Write the relation among them. Group B (2 × 2=4)
Group B (2 × 2=4) 4) If x – 2 is a factor of p(x) = 2x3 – 6x – 5x – 2, find the value of x.
4) If the polynomial f(x) = x3 + 6x2 + kx + 10 is divided by (x + 2), the 5) In a data, value of first quartile is 2a and quartile deviation is a, find the
remainder is 4, find the value of k. coefficient of quartile deviation.
5) If the first quartile of a grouped data is 15 and the quartile deviation is 30, Group C (3 × 3=9)
then find the coefficient of quartile deviation. 6) Solve by matrix method.
Group C (3 × 3=9) 4x – 3y = 11 and 3x + y = 5
6) Solve by Cramer’s rule. 7) Calculate Mean deviation from mean of:
4x – 3y = 11 and 3x + y = 5 x 0–4 4–8 8 – 12 12 – 16
7) Calculate Mean deviation from mean of: f 2 6 8 4
x 0 – 20 20 – 40 40 – 60 60 – 80 8) Calculate S.D. and the coefficient of:
f 2 4 3 1 x 0 – 20 20 – 40 40 – 60 60 – 80
8) Calculate S.D. and the coefficient of: f 2 4 3 1
x 0 – 10 10 – 20 20 – 30 30 – 40 Group D (1X4=4)
f 1 2 3 4 9) Solve: 3x3 – 7x2 + 4 = 0
Group D (1X4=4)
9) Solve: x3 – 19x – 30 = 0

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