# Quiz: Algebra Medium To Advanced Level Questions

20 Questions | Total Attempts: 21  Settings  How good are you at mathematics, especially Algebra? You must have learned basic concepts and formulas back in your primary school. If you have learned it in depth, you might be able to solve these medium to advanced level questions. So, can you pass this test without failing a single question?

• 1.
The resistance of the cable varies directly as its length and inversely as the square of the diameter of the wire. Compare the electrical resistance offered by the two pieces of wire of the same material, one being 100 m long and 5 mm in diameter, and the other is 50 mm long and 3 mm in diameter.
• A.

R1=0.57R2

• B.

R1=0.72R2

• C.

R1=0.84R2

• D.

R1=0.95R2

• 2.
A boat going across a lake 8km wide proceed 2km at a certain speed and then completes the trip 1/2 kph faster. By doing this, the boat arrives 10 minutes earlier than if the original speed had been maintained. Find the original speed of the boat.
• A.

2 kph

• B.

4 kph

• C.

5 kph

• D.

7 kph

• 3.
A small group has P100 to spend for lunch. The group decided to give a tip of 20%(before tax). The sales tax is 7 ½ %. How much should they spend?
• A.

P78.43

• B.

P87.61

• C.

P68.93

• D.

P84.27

• 4.
An un-experienced worker unloads a truck within 1 hour and 40 minutes. Together with a trainee they can work for 1 hour. In how many hours can the trainee spend working alone?
• A.

120

• B.

130

• C.

140

• D.

150

• E.

Option 5

• F.

Option 6

• 5.
Find the sixth term of the arithmetic sequence with a1=11 and d=4.
• A.

29

• B.

30

• C.

31

• D.

32

• 6.
A mixture containing 16% of a drug is combined to a 28% of a drug to obtain a 15mL of 24% of a mixture. How many mL of 16% of a drug should be added?
• A.

5

• B.

6

• C.

7

• D.

8

• 7.
Peanut and nut mixture contains 40% peanut. How much additional peanut mixture should be added to produce 8 lbs. of 50% peanut?
• A.

1.33 lbs.

• B.

1.75 lbs.

• C.

1.86 lbs.

• D.

1.93 lbs.

• 8.
A small boat travelling 5 miles upstream, later back down stream for 1 hour and 40 minutes. The stream current is 4 mph. What is the velocity when it is in still water?
• A.

2 mph

• B.

2.5 mph

• C.

1.75 mph

• D.

1.5 mph

• 9.
The third term of a geometric progression is 32 and the fifth is 128. Find the first term and the common ratio.
• A.

1.33

• B.

1.46

• C.

1.59

• D.

1.73

• E.

Option 5

• F.

Option 6

• 10.
Together John and Michael can paint a wall for 18 minutes. John alone can finish the wall 15 minutes more than Michaels painting. Find the time of each.
• A.

40 mins.

• B.

45 mins.

• C.

48 mins.

• D.

50 mins.

• 11.
Daniel is twice as old as Jimmy. Terry is one year younger than Daniel. If the sum of their age is 44. How old is Daniel?
• A.

15

• B.

18

• C.

20

• D.

21

• E.

Option 5

• 12.
A Bank contains \$1.65 Nickel, Dimes and Quarter. There are twice as many as Nickel as Dimes as and one more Quarter than Nickel. There are how many Quarter.
• A.

5

• B.

3

• C.

6

• D.

8

• 13.
The sum of two positive numbers is 35. There product is 304. What is the smallest number?
• A.

12

• B.

14

• C.

16

• D.

18

• 14.
A woman pays \$21.56 in buying a book which is marked 20% off. The sales tax is 8%. How much is the book.
• A.

23.95

• B.

26.45

• C.

24.95

• D.

25.75

• 15.
A boy got 100 an average in Homework and Test grade which are 97, 99, 100. Homework counts 15%. Each Test grade counts 20% and 25% Final grade. What is the score he should get in Final Exam to have a grade of 90?
• A.

63.2

• B.

62.5

• C.

64.1

• D.

65.7

• 16.
What is the sum of the first 50 terms of the series 10, 85, 160,  325, .......?
• A.

92,375

• B.

95,385

• C.

94,245

• D.

96,245

• 17.
A calculator manufacturer wants to earn \$18000. They produce the calculator for \$6 and sell it for \$11. If the overhead runs \$150000. What is the number of calculator to be produced?
• A.

31,500

• B.

32,800

• C.

33,600

• D.

34,200

• 18.
Which one do you like?
• A.

Option 1

• B.

Option 2

• C.

Option 3

• D.

Option 4

• 19.
Melinda had a 6 mile hike or 1 hour 45 min. she first walked for 4mph and then he finished her walk at 3mph. Find the distance that she walked after finishing the 4mph walk.
• A.

3 miles

• B.

4 miles

• C.

1.5 miles

• D.

2 miles

• 20.
Find the sum of a 20 term G.P. if the first term is 1 and r=2.
• A.

1,034,825

• B.

1,068,675

• C.

1,048,575

• D.

1,032,585

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