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Lesson Quiz: Class Homework

Quiz In Class

Title: Test1

Grade Lesson Test-T1

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Id	Name	Note
1	If Mohan’s income is Rs. 300 and savings Rs. 120, but his income increases by 50% every year and his expenditure increases compounded yearly by 70%, what will be his savings after 2 years?	A) 145.7 B) 154.8 C) 175.9 D) 224.4
2	A shop marks up prices by 80% above cost and gives a 35% discount on the marked price. Additionally, there is an added 10% sales tax on the final price. Calculate the overall effective profit percentage.	A) 26.7 % B) 27.8 % C) 28.7 % D) 29.8 %
3	A, B, and C invest Rs. 7200, Rs. 10,800, and Rs. 180,000 respectively in a business. A withdraws half his investment after 5 months; B withdraws half after 7 months; C keeps the full investment for 12 months. Find the final profit sharing ratio.	A) 34 : 57 : 1200 B) 43 : 57 : 1500 C) 43 : 75 : 200 D) 43 : 75 : 2200
4	The arc length of a circle is 35 cm with a central angle of 135°. Given uncertainty in arc length measurement ±0.5 cm, find the possible range of radii.	A) 13.45 cm to 17.07 cm. B) 12.58 cm to 13.04 cm. C) 10.47 cm to 35.77 cm. D) 14.64 cm to 15.07 cm.
5	In an isosceles triangle LOW, segment HI bisects both side LO and side OW. The base LW has a length of 72 units, and the midsegment HI has a length of 7x−2. If OW is 3 times the length of HI, find the value of x and the lengths of sides LO and OW.	A) x = 4.43 LO = 125 units OW = 125 units B) x = 3.43 LO = 180 units OW = 180 units C) x = 5.43 LO = 108 units OW=108 units D) x = 6.43 LO = 180 units OW = 180 units
6	Given the circle center (-5, 7), and tangent line y + 2x = 10, find the equation of the circle and its area.	A) A = 22.7 π square units B) A = 27.8 π square units C) A = 43.8 π square units D) A = 33.8π square units
7	Solve for x and y in the equations 6x + 3y = 31 and 5x + 4y = 37, then find the value of x - y.	A) x + y = 8 B) x − y = -6 C) x + y = -6 D) x − y = -8
8	A boy 5.5 ft tall casts a 14 ft shadow; a flagpole casts a 42 ft shadow at the same time. If the sun’s altitude decreases by 20% later in the day, what is the flagpole’s height then?	A) 16.5 ft B) 18.5 ft C) 26.7 ft D) 38.5 ft
9	The population was 62,000 in 1991 and 238,000 in 2011. Using a quadratic growth model, estimate the population in 2017.	A) 359,570 B) 489,440 C) 489,570 D) 359,440
10	Find the least whole number to subtract from both terms of ratio 7:9 so the new ratio is less than 33:40 and greater than 2:3.	A) 2 B) 4 C) 1 D) 3

Name

Note

If Mohan’s income is Rs. 300 and savings Rs. 120, but his income increases by 50% every year and his expenditure increases compounded yearly by 70%, what will be his savings after 2 years?

A) 145.7

B) 154.8

C) 175.9

D) 224.4

A shop marks up prices by 80% above cost and gives a 35% discount on the marked price. Additionally, there is an added 10% sales tax on the final price. Calculate the overall effective profit percentage.

A) 26.7 %

B) 27.8 %

C) 28.7 %

D) 29.8 %

A, B, and C invest Rs. 7200, Rs. 10,800, and Rs. 180,000 respectively in a business. A withdraws half his investment after 5 months; B withdraws half after 7 months; C keeps the full investment for 12 months. Find the final profit sharing ratio.

A) 34 : 57 : 1200

B) 43 : 57 : 1500

C) 43 : 75 : 200

D) 43 : 75 : 2200

The arc length of a circle is 35 cm with a central angle of 135°. Given uncertainty in arc length measurement ±0.5 cm, find the possible range of radii.

A) 13.45 cm to 17.07 cm.

B) 12.58 cm to 13.04 cm.

C) 10.47 cm to 35.77 cm.

D) 14.64 cm to 15.07 cm.

In an isosceles triangle LOW, segment HI bisects both side LO and side OW. The base LW has a length of 72 units, and the midsegment HI has a length of 7x−2. If OW is 3 times the length of HI, find the value of x and the lengths of sides LO and OW.

A) x = 4.43 LO = 125 units OW = 125 units

B) x = 3.43 LO = 180 units OW = 180 units

C) x = 5.43 LO = 108 units OW=108 units

D) x = 6.43 LO = 180 units OW = 180 units

Given the circle center (-5, 7), and tangent line y + 2x = 10, find the equation of the circle and its area.

A) A = 22.7 π square units

B) A = 27.8 π square units

C) A = 43.8 π square units

D) A = 33.8π square units

Solve for x and y in the equations 6x + 3y = 31 and 5x + 4y = 37, then find the value of x - y.

A) x + y = 8

B) x − y = -6

C) x + y = -6

D) x − y = -8

A boy 5.5 ft tall casts a 14 ft shadow; a flagpole casts a 42 ft shadow at the same time. If the sun’s altitude decreases by 20% later in the day, what is the flagpole’s height then?

A) 16.5 ft

B) 18.5 ft

C) 26.7 ft

D) 38.5 ft

The population was 62,000 in 1991 and 238,000 in 2011. Using a quadratic growth model, estimate the population in 2017.

A) 359,570

B) 489,440

C) 489,570

D) 359,440

Find the least whole number to subtract from both terms of ratio 7:9 so the new ratio is less than 33:40 and greater than 2:3.

A) 2

B) 4

C) 1

D) 3