CLASS 9 Practice Test -1 TERM-1

Which of the following is a rational number? *

1 point

(a) π

(b) 0

(c) 1+√3

(d) 2√3

In between two rational number there is/are: *

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(a) Exactly one rational number

(b) Infinitely many rational number

(c) Many irrational numbers

(d) Only irrational numbers

3√6 + 4√6 is equal to: *

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(a) 6√6

(b) 7√6

(c) 4√12

(d) 7√12

Every real number is *

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(a) neither rational nor irrational

(b) irrational

(c) rational

(d) either rational or irrational

Decimal representation of a rational number cannot be *

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(a) terminating

(b) always terminating

(c) always non-terminating

(d) non terminating non repeating

The point (–2, 0) lies on : *

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(a) +ve x-axis

(b) +ve y-axis

(c) –ve x-axis

(d) –ve y-axis

Abscissa of a point is positive in: *

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(a) I and II quadrants

(b) I and IV quadrants

(c) I quadrant only

(d) II quadrant only

The point where the two axes meet is called *

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(a) X- Co-ordinate

(b) Y- Co-ordinate

(c) Quadrant

(d) Origin

In graphical representation of y = 4, line is: *

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(a) parallel to x – axis

(b) parallel to y – axis

(c) passes through origin

(d) None of these.

y = 0 is the equation of *

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(a) a line parallel to x-axis

(b) a line parallel to y-axis

(c) x-axis

(d) y-axis

The sum of all the angles around a point so formed is *

1 point

(a) 100°

(b) 180°

c) 90°

(d)360°

Which of the following statements is false? *

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(a) A line can be produced to any desired length.

(b) Through a given point, only one straight line can be drawn.

(c) Through two given points, it is possible to draw one and only one straight line

(d) Two straight lines can intersect in only one point

It is given that ∠XYZ = 64° and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ZYP, find ∠XYQ. *

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(a)122°

(b)102°

(c)54°

(d)64°

ABC is a right angled triangle in which ∠A = 90° and AB = AC, find ∠B. *

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(a) 45°

(b)90°

(c) 180°

(d) 35°

In quadrilateral ACBD, AC = AD and AB bisects ∠ A (see figure). *

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(a) ∆ABC ≅ ∆DBA.

(b) ∆ABC ≅ ∆ADB.

(c) ∆ABC ≅ ∆BAD.

(d) ∆ABC ≅ ∆ABD

If ABC is an equilateral triangle, then each angle equals to: *

1 point

(a) 90°

(b)180°

(c) 120°

(d) 60°

Line l is the bisector of an ∠ A and ∠ B is any point on l. BP and BQ are perpendiculars from B to the arms of LA (see figure). Then∠Q = ∠P because of each of __ *

1 point

(a)180°

(b)60°

(c)50°

(d) 90°

Each side of an equilateral triangle measures 10 cm. Then the area of the triangle is *

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(a) 43.3 cm²

(b) 43.1 cm²

(c) 43.4 cm²

(d) 43.2 cm²

The edges of a triangular board are 6 cm, 8 cm and 10 cm. The cost of painting it at the rate of 70paise per cm² is *

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(a) ₹17

(b) ₹16.80

(c) ₹7

(d) ₹16

The minimum value of a data is 82 and range is 38, then the maximum value is *

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(a) 60

(b) 76

(c) 82

(d) 120

If x = 2+√3, then x +1 / x= *

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(a) 5

(b) 4

(c) -4

(d) -5

On rationalizing the denominator of 1 / √19,we get *

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(a)19

(b)√19

(c)√1 / 19

d)√19 / 19

Expression of 2.2323… in the form of 221 / 99 is ________. *

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(a)221 / 99

(b) 75 / 31

(c) 7 / 99

(d)223 / 99

The value of (25)^3/2 is *

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(a) 5

(b) 25

(c) 125

(d) 625

The coordinates of the point C *

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(a) (-3, – 5)

(b) (5, – 5)

(c) (0, 5)

(d) (-3,0)

The figure obtained by plotting the points (2,3),(-2,3),(-2,3) and (2,-3) is a *

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(a)Trapezium

(b) Rectangle

(c) Square

(d) Rhombus

In fig, ABIICD, <APQ=500, <PRD=1270, then the value of X and Y are *

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(a) 50° and 77°

(b)40° and 85°

(c)60° and 90°

(d) 85° and 75°

In figure, lines AB and CD intersect at 0. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE *

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(a) 45°

(b)90°

(c) 180°

(d) 30°

In figure, find the value of x. *

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(a) 45°

(b)90°

(c) 180°

(d) 130°

In figure, if AB || CD, EF ⊥ CD and ∠GED = 126°, find ∠AGE *

1 point

(a) 145°

(b)126°

(c) 180°

(d) 130°

In figure, sides QP and RQ of ∆PQR are produced to points S and T, respectively. If ∠SPR = 135° and ∠PQT = 110°, find ∠PRQ. *

1 point

(a) 65°

(b)135°

(c) 110°

(d) 70°

In figure, ∠X = 62°, ∠XYZ = 54°, if YO and ZO are the bisectors of ∠XYZ and ∠XZY respectively of ∆XYZ, find ∠OZY *

1 point

(a) 64°

(b)135°

(c) 110°

(d) 32°

In figure, if lines PQ and RS intersect at point T, such that ∠ PRT = 40°, ∠ RPT = 95° and ∠TSQ = 75°, find ∠ SQT. *

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(a) 60°

(b)135°

(c) 110°

(d) 30°

If AB = QR, BC=RP and CA = QP, then which of the following holds? *

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(a) △BCA ≅ △PQR

(b) △ABC ≅ △PQR

(c) △CBA ≅ △PQR

(d) △CAB ≅ △PQR

Sides of a triangles are in the ratio of 12:17:25 and its perimeter is 540cm. Area = *

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(a) 9000 cm²

(b) 36000 cm²

(c) 18000 cm²

(d) 10000 cm²

The area of a triangle with base 8 cm and height 10 cm is *

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(a) 20 cm²

(b) 18 cm²

(c) 80 cm²

(d) 40 cm²

The perimeter of a rhombus is 146 cm. One of its diagonals is 55 cm. The length of the other diagonal and area of the rhombus are *

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(a) 48 cm, 2320 cm²

(b) 48 cm, 1820 cm²

(c) 88 cm, 1320 cm²

(d) 48 cm, 1320 cm²

If the height of a parallelogram having 500 cm² as the area is 20 cm, then its base is of length *

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(a) 25 cm

(b) 15 cm

(c) 20 cm

(d) 50 cm

Class size for the following distribution: 0 – 0.25, 0.25 – 0.50, 0.50 – 0.75 is *

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(a) 10

(b) 0. 25

(c) 50

(d) 2.5

Out of sixteen observations arranged in ascending order, the 8th and 9th observations are 25 and 27. Then, the median is *

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(a) 26

(b) 27

(c) 25

(d) 26.5

CASE BASED STUDY QUESTIONS

Sanjay bought 5 notebooks and 2 pens for Rs. 120. He told to guess the cost of each notebook and pen to his friends Mohan and Anil. Sanjay has given the clue that both the costs are integers and divisible by 5 such that the cost of a notebook is greater than that of a pen. Now, Mohan and Anil tried to guess. Mohan said that price of each notebook could be Rs. 18. Then five notebooks would cost Rs.90, the two pens would cost Rs.30 and each pen could be for Rs. 15.Anil felt that Rs. 18 for one notebook was too little. It should be at least Rs. 20. Then the price of each pen would also be Rs.10.Based on the above situation, answer the following questions:

Write a linear equation in two variables for this situation *

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(a) x+2y=120

(b) 5x+y=120

(c) x+y=120

(d) 5x + 2y = 120

Check whether the answers of Mohan and Anil are correct. *

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(a) Mohan is wrong and Anil is right.

(b) both are correct

(c) both are wrong

(d) Mohan is right and Anil is wrong.

Find the cost of a notebook *

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(a) Rs. 20

(b) Rs. 10

(c) Rs. 30

(d) Rs.40

Find the cost of a pen. *

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(a) Rs. 20

(b) Rs. 10

(c) Rs. 30

(d) Rs.40

If Sanjay purchased 8 notebooks and 4 pens, how much money he has to pay to the shopkeeper? *

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(a) Rs. 150

(b) Rs. 200

(c) Rs. 250

(d) Rs. 300

The country is facing a tough task of controlling the covid-19 cases in major populated states. The States and Central Government are taking rapid measures in the form of providing medicines, beds, ventilators, masks etc. and also at the same time creating awareness among the citizen through various platforms about the precautions to be taken up regularly. The impact of these measures is visible in many states where we have been able to control the fatality rate Below is shown the Data from March to June 2020 of positive and recovered cases of covid-19 for 6 states of India and the same is depicted in the bar graph

Find the mean of recovery cases in all states displayed in Bar graph. *

1 point

(a) 35000

(b) 36000

(c) 34000

(d) 40000

What is the range of recovery cases of all states mentioned in graph? *

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a) 40000

b) 60000

c) 75000

d) 85000

Which state having the maximum positive cases of covid-19? *

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(a) Maharashtra

(b) Karnataka

(c) Rajasthan

(d) Tamilnadu

Find the median of the total cases in the six states? *

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(a)20000

(b)14500

(c)24500

(d)16500

Which state having the minimum positive cases of covid-19? *

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(a) Maharashtra

(b) Karnataka

(c) Rajasthan

(d) Tamilnadu