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Quiz about A Tricky n Easy Maths Quiz 4
Quiz about A Tricky n Easy Maths Quiz 4

A Tricky 'n' Easy Maths Quiz! (4)


I'm back with another maths quiz. Be careful... These questions might tease your brain! There are some easy ones though, and you can use a calculator for the tough questions. All the best!

A multiple-choice quiz by me07. Estimated time: 6 mins.
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Author
me07
Time
6 mins
Type
Multiple Choice
Quiz #
135,626
Updated
Aug 09 22
# Qns
15
Difficulty
Tough
Avg Score
8 / 15
Plays
3427
Last 3 plays: Guest 120 (7/15), Guest 71 (11/15), Guest 102 (2/15).
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Question 1 of 15
1. An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures? Hint


Question 2 of 15
2. In a group of x children, 10 like Maths and 25 like English. 7 like both subjects and 17 like neither. How many children are there in the group? (Hint: If 10 children like Maths, this does not mean ONLY 10 children like Maths.) Hint


Question 3 of 15
3. What is the dividend on £320.80 at 15p per £? (Hint: 1 pound = 100 pence) Hint


Question 4 of 15
4. A box contains 20 fresh fruits: some mangoes and some grapes. If there are 8 more mangoes than grapes, how many mangoes are there?

Answer: (Type the number only (in digits))
Question 5 of 15
5. A card is drawn at random from an ordinary pack of playing cards. What is the probability that it is neither a face card nor a black card? Hint


Question 6 of 15
6. A certain number of two digits is decreased by 54 when the digits are interchanged. The tens digit is three times the unit digit. Find the number.

Answer: (The number 23 does not mean 2 * 3; it means 2 * 10 + 3. Type the number only (in digits).)
Question 7 of 15
7. What is the value of 64^(2/3)? Hint


Question 8 of 15
8. A pile of 15 boxes is 3 metres high. What is the depth of each box? Hint


Question 9 of 15
9. The area of a face of a cube is 81 cm^2. What is the volume of the cube in cubic centimeters?

Answer: (Type the number only (in digits - don't type the units!))
Question 10 of 15
10. What is the volume of a cylinder with diameter 296 cm and height 3.054 m (correct to 3 s.f.)? Hint


Question 11 of 15
11. From a stick 2y metres long, I cut a piece of length 4y centimetres. What fraction of the original stick remains? Hint


Question 12 of 15
12. What is the supplement of ([dozen sixes] + 80)degrees? Hint


Question 13 of 15
13. A man needs to sell a cuckoo-clock originally costing £300 to make an exact profit of 10%. How much should he sell it for?

Answer: (Type the number only (in digits - no units or £ sign))
Question 14 of 15
14. If 5/8 of the children in a school are boys and the school consists of 2400 students, how many girls are there? Hint


Question 15 of 15
15. Jack's average mark after 8 results was 54. This dropped to 49 when he received his ninth result which was for Maths. What was his Maths mark?

Answer: (Type the number only (in digits))

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Score Distribution

quiz
Quiz Answer Key and Fun Facts
1. An angle measuring 60 degrees is measured as 62 degrees. What is the percentage error correct to 3 significant figures?

Answer: 3.33%

There is a formula for such questions which is:

Percentage Error = Actual Error/True Value * 100

The actual error is 62 - 60 or 2 degrees. Plug in the numbers and we get:

Percentage error = 2/60 * 100 = 3.33% (correct to 3 sig. fig.)
2. In a group of x children, 10 like Maths and 25 like English. 7 like both subjects and 17 like neither. How many children are there in the group? (Hint: If 10 children like Maths, this does not mean ONLY 10 children like Maths.)

Answer: 45

Such questions are logical problems and are called group questions which involve Venn Diagrams. There is a formula for such questions which is (in this case):
Total Number of Children = Number of children who like Maths + Number of Children who like English - Number of children who like both subjects + Number of children who like neither or x = Number of children who like only Maths + Number of children who like only English + Number of children who like both subjects + Number of children who like neither subject We know that 7 like both subjects and 17 like neither, but we do not know how many like ONLY Maths and how many like ONLY English. It's apparent that the number of students who like only Maths is the number of students who like both English and Maths subtracted from the number of students who like Maths. Similarly, the number of students who like only English is the number of students who like both subtracted from the number of students who like English. So, Number of students who like only Maths = 10 - 7 = 3, and Number of students who like only English = 25 - 7 = 18. Therefore, x = 3 + 18 + 7 + 17 = 45.
Plug in the numbers and we get:

10 + 25 - 7 + 17 = 45.
3. What is the dividend on £320.80 at 15p per £? (Hint: 1 pound = 100 pence)

Answer: £48.12

The dividend on £1 is 15 p. Therefore, the dividend on £320.80 or 32080 pence (320.80 * 100) will be (32080*15)pence or 4812 pence, which is £48.12 (4812/100).
4. A box contains 20 fresh fruits: some mangoes and some grapes. If there are 8 more mangoes than grapes, how many mangoes are there?

Answer: 14

Let the number of mangoes be m and let the number of grapes be g. The problem reads: "There are 8 more mangoes than grapes". Therefore, m can also be written as 8 + g, because the number of grapes plus eight is equal to the number of mangoes. Now we can form an equation and solve:

m + g = 20

8 + g + g = 20

8 + 2g = 20

2g = 20 - 8

2g = 12

g = 12/2

g = 6.

Therefore, m = 8 + 6 = 14.

There are 14 mangoes in the box.
5. A card is drawn at random from an ordinary pack of playing cards. What is the probability that it is neither a face card nor a black card?

Answer: 20/52 = 5/13

There are 12 face cards. Aces are not considered as face cards. There are 26 black cards, but half of the face cards are black and we have already included them, therefore, the probability of drawing a card which is neither a face card nor a black card is:
(52 - [12 + 20])/52 = (52 - 32)/52 = 20/52 = 5/13.
6. A certain number of two digits is decreased by 54 when the digits are interchanged. The tens digit is three times the unit digit. Find the number.

Answer: 93

Let the tens digit be x and let the unit digit be y. Then, the value of the number is 10x + y because (for example) 23 is equal to 2 * 10 + 3 where 2 is the tens digit and 3 is the unit digit (Aha! That's why I gave that hint!). When the digits are interchanged (reversed), the value of the number is 10y + x.
Therefore:

(10x+y) - (10y+x) = 54

10x + y - 10y - x = 54

9x - 9y = 54.

If you divide the equation throughout by 9, we get

x - y = 6.

We know that the tens digit is three times the unit digit, therefore

x = 3y.

3y - y = 6

2y = 6

y = 6/2

y = 3.

Since x = 3y and y = 3, x = 9.

The number is 93.

The number with the digits reversed is 39 (93 - 39 = 54).

Notice that the ten digit in 93 (9) is three times the unit digit (3).
7. What is the value of 64^(2/3)?

Answer: 16

64^(2/3) means sixty-four to the power of two-thirds. q^(m/n) means the 'n'th root of q raised to the power m. Similarly, 64^(2/3) means the cube root of 64 (namely 4) raised to the power of 2, which yields 16.
8. A pile of 15 boxes is 3 metres high. What is the depth of each box?

Answer: 200 mm

The depth of one box will be:
3/15 m = 1/5 m = 0.2 m = 20 cm (1 m = 100 cm, therefore 0.2 m is equal to 0.2*100 cm) = 200 mm (1 cm = 10 mm, therefore 20 cm is equal to 20*10 mm). 0.2 m = 0.0002 km (1 km = 1000 m, therefore 1 m is 1/1000 of a kilometre).
9. The area of a face of a cube is 81 cm^2. What is the volume of the cube in cubic centimeters?

Answer: 729

A cube has six faces which are all squares. The formula for finding the area of a square is l^2 (or length squared). Therefore:
Area = l^2

81 = l^2
l = sq. rt. of 81
l = 9 cm.

Now we know that the cube measures 9 cm on an edge. The formula for finding the volume of a cube is l^3 (or length cubed). Therefore its volume will be:

Volume = l^3

Volume = 9^3

Volume = 729 cm^3.
10. What is the volume of a cylinder with diameter 296 cm and height 3.054 m (correct to 3 s.f.)?

Answer: 21.0 m^3

296 cm = 2.96 m (1 m = 100 cm, therefore 1 cm is equal to 1/100 of a metre).

If the diameter is 2.96 m, the radius will be 2.96/2 m or 1.48 m (This is because the radius of a circle is half the diameter of the circle).

The formula for calculating the volume of a cylinder is:

pi r^2 h.

Therefore:

3.14 * 1.48 * 1.48 * 3.054 = 21.0 m^3 (correct to 3 sig. fig.)

cm^2 is a unit of area, and 2100 cm^3 is equal to 0.0021 m^3 (1 m = 100 cm, therefore 1 m^3 = 100 * 100 * 100 cm or 1000000 cm. 1 cm^3 = 1/1000000 of a cubic metre.)
11. From a stick 2y metres long, I cut a piece of length 4y centimetres. What fraction of the original stick remains?

Answer: 49/50

2y metres = 200y centimetres (1 metre = 100 cm, therefore 2y metres is equal to 2y*100 cm).

If I cut a piece of length 4y centimetres from a stick measuring 200y centimetres long, 196y centimetres of stick is left.

If we express this as a fraction we get:

196y/200y = 196 * y/200 * y = 196/200 = 49/50
12. What is the supplement of ([dozen sixes] + 80)degrees?

Answer: 28 degrees

([dozen sixes] + 80) degrees = ([12*6] + 80) degrees = (72 + 80) degrees = 152 degrees.

Supplementary angles are two angles on a straight line which add up to 180 degrees. If one of them is 152 degrees, the other one is 180 degrees - 152 degrees or 28 degrees.

Notice that 'dozen sixes' can also be written as 'twelve sixes'.
13. A man needs to sell a cuckoo-clock originally costing £300 to make an exact profit of 10%. How much should he sell it for?

Answer: 330

We know that:

Percentage profit = Actual profit/Original price * 100.

Using this formula, we can solve the problem:

10% = x/300 * 100
10 = x/3
x = 10*3
x = £30.
Now we know that the man has to sell the cuckoo clock to make a profit of £30. Therefore, he has to sell it for £300 + £30 or £330.
14. If 5/8 of the children in a school are boys and the school consists of 2400 students, how many girls are there?

Answer: 900

There are several ways of solving this problem. If 5/8 of the children in a school are boys, then 3/8 of the children in that school are girls. (5/8 + 3/8 = 1)
3/8 of 2400 = 3/8 * 2400 = 900
Therefore, there are 900 girls and 1500 boys (2400 - 900) in the school.
15. Jack's average mark after 8 results was 54. This dropped to 49 when he received his ninth result which was for Maths. What was his Maths mark?

Answer: 9

We know that the average is equal to the sum of all values divided by the number of values. His total mark after 8 subjects was:
average = sum of all values / number of values
54 = x / 8
x = 54*8 = 432
Therefore, his total mark after 8 subjects was 432.
His total mark after 9 subjects was:
Average = Sum of all values / Number of values
49 = x / 9
x = 49*9 = 441
Therefore, his total mark after 9 subjects was 441.
Score in 9th subject = Total mark after 9 subjects - Total mark after 8 subjects
Score in 9th subject = 441 - 432
Score in 9th subject = 9.
Therefore, he scored 9 marks in Maths.
This was a nice question to end with, wasn't it? Maths is my favourite subject and if you have any trouble with the above questions, do not hesitate to ask me. I will appreciate all your corrections, suggestions and ratings. Every subject has its own difficulties and I hope you know what the difficulties of Maths are like, and I hope you have learnt something new. Bye bye till next time to face more Maths questions! ;)
Source: Author me07

This quiz was reviewed by FunTrivia editor CellarDoor before going online.
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