NATIONAL PUBLIC SCHOOL - sem 2 test Math Question Paper 24-25

NATIONAL PUBLIC SCHOOL

HSR, BENGALURU

SECOND SEMESTER - PERIODIC TEST 3 - 2024-25 ¹

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Class: 6 ²

No. of pages: 2 ³

Max Marks: 30 ⁴

Time: 1 Hr ⁵

Subject: MATHEMATICS - 1 ⁶

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General Instructions: ⁷

• All questions are compulsory. ⁸

• Questions 1-5 carry 1 mark each. ⁹

• Questions 6-9 carry 2 marks each. ¹⁰

• Questions 10-12 carry 3 marks each. ¹¹

• Questions 13-14 carry 4 marks each. ¹²

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1. 5 more than -7 is ¹³

   • (A) 2 ¹⁴

   • (B) -2 ¹⁵

   • (C) 5 ¹⁶

   • (D) -5 ¹⁷

2. The predecessor of -101 is ¹⁸

   • (A) -100 ¹⁹

   • (B) 100 ²⁰

   • (C) 101 ²¹

   • (D) -102 ²²

3. The value of $11-(|-8|+|-3|)$ is ²³

   • (A) 22 ²⁴

   • (B) 6 ²⁵

   • (C) 0 ²⁶

   • (D) -22 ²⁷

4. The coefficient of $x^{4}z^{2}$ in $27x^{4}y^{5}z^{2}$ is ²⁸

5. Assertion (A) - Every positive integer is larger than every negative integer. ²⁹

   Reason (R) - The farther a number from zero to the right, the smaller its value. ³⁰

   • (A) Both A and R are true and R is the correct explanation of A ³¹

   • (B) Both A and R are true but R is not the correct explanation of A ³²

   • (C) A is true but R is false ³³

   • (D) A is false but R is true ³⁴

6. Draw and represent $8+(-4)$ on a number line. ³⁵

7. Find the value of: $2x + y + z$. If $x=2$, $y=-3$ and $z=5$. ³⁶

8. Solve: $(-7)+(-8)+90$. ³⁷

9. Simplify: $23-[-14-\{9-(8-4)\}]$. ³⁸

10. In a football tournament, Team A wins 4 games, loses 3 games, and ties 2 games. ³⁹

    A win gives 5 points, and a loss results in -2 points, and a tie earns 1 point. ⁴⁰

    What is Team A's total score? ⁴¹

11. Simplify: $(\frac{2}{3}+\frac{4}{9})$ of $\frac{3}{5}\div2\frac{2}{3}\times2\frac{1}{4}-\frac{1}{4}$ ⁴²

12. From the sum of $8x^{2}-3x+9$ and $-5x^{2}-8x+4$, subtract $2x^{2}-9x+2$. ⁴³

13. (a) The sum of two integers is -126. If one of the integers is 89, find the other. ^44444444

    (b) Using the suitable property, solve: $(-17)\times(-8)+(-17)\times(6)$ ⁴⁵

14. (a) A company produces three types of items every month. The following expressions give the profit from these items: $2x^{3}-3x^{2}+7x-8$, $-5x^{3}-2x^{2}-4x+1$ and $3-6x^{2}+7x-x^{3}$ for the first, second, and third items respectively. Find the total profit of one month, in terms of these algebraic expressions. ^46464646

    (b) A company originally had $5y^{3}-2x^{2}y+5xy-15$ of items in stock. They sold $2y^{3}-3x^{2}y+7xy-8$ items in the first month. Calculate the number of items left with the company at the end of the first month in terms of these algebraic expressions. ⁴⁷

$x^{4}z^{2}$ in $27x^{4}y^{5}z^{2}$