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9th Class Mathematics Chapter 1 Test

9th Class · Mathematics · Federal (FBISE)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

If a.b = 1, what is be called?
1. multiplicative inverse of a
2. additive identiy
3. multiplicative identity
4. self-multiplicative inverse
Which of the following sets have the closure propetry w.r.t. multiplication?
1. { -1 , -2 }
2. { 0 , -1 }
3. { 0 , 1 }
4. ${ 1 , \sqrt{2} }$
A person walks 3.5 km/h for 12 hours. The total distance is:
1. 36 km
2. 40 km
3. 42 km
4. 45 km
$\sqrt[m]{\sqrt[n]{a}} = \ldots\ldots$
1. $\sqrt[mn]{a}$
2. $\sqrt[m+n]{a}$
3. $\sqrt[m-n]{a}$
4. $\sqrt[n]{\sqrt[m]{a}}$
The expression $a^{1/2}$ is equivalent to:
1. a²
2. √a
3. 1/a
4. 2a
$\text{If } z < 0 \text{ and } x < y \Rightarrow \text{ then:}$
1. $\ xz < yz$
2. $\ xz > yz$
3. $\ xz = yz$
4. $\ xz \leq yz$
$\left(\frac{25}{16}\right)^{-\frac{1}{2}}$
1. $\frac{5}{4}$
2. $\frac{4}{5}$
3. $\frac{-5}{4}$
4. $\frac{-4}{5}$
Which property does NOT generally hold for subtraction?
1. Closure
2. Commutative
3. Distributive
4. Associative under addition
Commutative property does not hold with respect to.
1. addition
2. multiplication
3. subtraction
4. both (a) and (b)
A temperature of −89.2°C is:
1. Greater than 0°C
2. Less than 0°C
3. Equal to 0°C
4. A natural number

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

Represent the following on a number line. x < 0
Write exponential expression as an equivalent radical expression and simplify if possible. $(29)^\frac{1}{2}$
Represent number on the number line. $\frac{17}{3}$
Show the following numbers on a number line. $-\pi$
Find the value of x ${4^x} = \frac{1}{64}$
Write exponential expression as an equivalent radical expression and simplify if possible. $\left( \sqrt[3]{8} \right)^9$
Write radical expression as an equivalent exponential expression and simplify if possible. $( \sqrt[4]{10} )^8$
By using the property of product and quotient rule for radical, write expression as a single radical and simplify. $\frac{\sqrt[4]{x^7}}{\sqrt[4]{x^5}}$

A cooking oil company produces four types of oils in packing of 1 litre & 10 litre. The inventory is shown in the table. After removal of 40% of an item, it is to be replenished. The daily removal of 1 litre cooking oil-II packing is 20% and for 10 litre cooking oil-IV packing, daily removal is 5%. Find (a) Number of daily removed 1 litre cooking oil-II packing. (b) After how many days, 1 litre cooking oil-II are to be replenished? (c) Number of daily removed 10 litre cooking oil-IV packing. (d) After how many days, 10 litre cooking oil-IV packing are to be replenished? $\begin{array}{|c|c|c|c|} \hline \text{Name / Packing size} & \text{1 litre} & \text{5 litre} & \text{10 litre} \\ \hline \text{Cooking oil-I} & 5000 & 2500 & 1000 \\ \hline \text{Cooking oil-II} & 5000 & 2500 & 1000 \\ \hline \text{Cooking olive-III} & 5000 & 2500 & 1000 \\ \hline \text{Cooking olive-IV} & 5000 & 2500 & 1000 \\ \hline \end{array}$
Determine whether each statement is true or false. If false, give an example of a number that shows the statement is true. (a) Every rational number is an integer (b) Every real number is an irrational (c) Every irrational number is a real number (d) Every integer is a rational number (d) Every real number is either a rational number or an irrational number
World lowest temperature in past 100 years was recorded to be -89.2 C at Vostok, Antarctica on July 21, 1983. Convert this temperature into Fahrenheit and Kelvin scales. $F = \frac{9}{5}C + 32, \quad K = C + 273$