Quiz about Parinama Academy Math bee - 6 -8 - may

Question 1

How many four-digit numbers have the property that their digits, from left to right, are consecutive and in ascending order?

Accepted Answer

5

Answer

6

Answer

7

Answer

8

Question 2

A rectangular chocolate bar is made of identical squares. Neil breaks off two complete strips of squares and eats the 12 squares he obtains. Later, Jack breaks off one complete strip of squares from the same bar and eats the 9 squares he obtains. How many squares of chocolate are left in the bar?

Accepted Answer

45

Answer

72

Answer

54

Answer

36

Question 3

A jar one-fifth ( 1/5 ) filled with water weighs 560 g. The same jar four-fifth ( 4/5 ) filled with water weighs 740 g. What is the weight of the empty jar?

Accepted Answer

500

Answer

112

Answer

180

Answer

300

Question 4

In a particular fraction the numerator and denominator are both positive. The numerator of this fraction is increased by 40%. By what percentage should its denominator be decreased so that the new fraction is double the original fraction?

Accepted Answer

30%

Answer

10%

Answer

20%

Answer

40%

Question 5

A box contains only green, red, blue and yellow tokens. There is always at least one green tokens amongst any 27 tokens chosen from the box; always at least one red tokens amongst any 25 tokens chosen; always at least one blue amongst any 22 tokens chosen and always at least one yellow amongst any 17 tokens chosen. What is the largest number of tokens that could be in the box?

Accepted Answer

29

Answer

91

Answer

87

Answer

51

Question 6

Which of the following fractions has the largest value?

Accepted Answer

7/8

Answer

66/77

Answer

555/666

Answer

4444/5555

Question 7

On July 1 in Newbury the sun will rise at 04:53 and set at 21:25. The local noon will be exactly halfway between these times. At what time will the local noon be in Newbury on July 1? A. 11:08 B. 12:39 C. 13:09

Accepted Answer

13:09

Answer

11:08

Answer

12:39

Answer

01:18

Question 8

. John needs exactly 2002 eggs as soon as possible. Each of his 23 hens lays an egg every day. How many days (including the first day) does John have to wait and how many eggs will be left after he takes his 2002 eggs?

Accepted Answer

88 days, 22 eggs left

Answer

87 days, no eggs left

Answer

87 days, one egg left

Answer

88 days, 20 eggs left

Question 9

. In Canada part of the people can speak only English, part of them - only French, and part of them can speak both languages. A survey shows that 85% of the population speak English, 75% of the population speak French. How many per cent of the population can speak both languages?

Accepted Answer

60

Answer

50

Answer

57

Answer

25

Question 10

In a children's game you call out all the numbers from 1 to 100. You clap every time you say either a multiple of 3 or a number ending by 3. How many times would you clap?

Accepted Answer

39

Answer

30

Answer

33

Answer

36

Question 11

Three children ate 17 cookies altogether. Andrew ate more cookies than any other child. What is the smallest possible number of cookies that Andrew ate?

Accepted Answer

7

Answer

4

Answer

5

Answer

6

Question 12

In some of the small squares of a 2x9 grid there are coins. Each small square either contains a coin or has a common side with a similar square containing a coin. The number of coins in the grid must then be at least:

Accepted Answer

5

Answer

6

Answer

7

Answer

8

Question 13

Christopher has drawn two different circles and three different straight lines and then has coloured the points of intersection of all pairs of geometrical objects. What is the maximum number of points of intersection he could possibly obtain?

Accepted Answer

17

Answer

16

Answer

15

Answer

14

Question 14

Consider the set of all four-digit numbers formed by the digit 1,2,3,4 without repetitions. What is the sum of all numbers from this set?

A. 55550 B. 99990 C. 66660 D. 100000 E. 98760

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Answer

E

Question 15

. A box of apples costs 2 Euros, a box of pears costs 3 Euros, and a box of plums costs 4 Euros. If 8 fruit boxes cost 23 Euros together, what is the largest possible number of them that contain plums? (Euro is the currency in the European countries that are members of the European Union)

A. 1 B. 2 C. 3 D.4 E.5

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Answer

E

Question 16

Four children bought a birthday present for their father. One of the children hid the present. Their mother asked them who had hidden the present. The four boys involved made the following statements about the offender:

Alfred: "It was not me!"

Benjamin: "It was not me!"

Christian: "It was Daniel!"

Daniel: "It was Benjamin!"

It turned out that exactly one of them did not tell the truth. Who was the offender?

A. Alfred B. Benjamin C. Christian D. Daniel E. This cannot be determined

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Answer

E

Question 17

When freezing, water increases its volume by 1/11. By what part of its volume will ice decrease when it melts and turns back into water?

A. 1/11 B. 1/10 C. 1/12 D. 1/13 E. 1/14

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Answer

E

Question 18

. In the same month, three Sundays have fallen on even-numbered days. What weekday was the 20th of that month?

A. Monday B. Tuesday C. Wednesday D. Thursday E. Saturday

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Answer

E

Question 19

Five boys weighed themselves in pairs in all possible combinations. The measured weights were 90 kg, 92 kg, 93 kg, 94 kg, 95 kg, 96 kg, 97 kg, 98 kg, 100 kg, and 101 kg. What was the total weight of the five boys?

A. 225 kg B. 230 kg C. 239 kg D. 240 kg E. 250 kg

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Answer

E

Question 20

How many hours are there in ten quarters of an hour?

(A) 40 (B) 5 and a half (C) 4 (D) 3 (E) 2 and a half

Accepted Answer

E

Answer

A

Answer

B

Answer

C

Answer

D

Question 21

Five children played a card game. At some point, each of them had to give a card to each of the other ones. Then, everybody had to discard the cards just received, and continue the game without them. How many cards in total were in the game before this exchange if after it only one-half of the cards were played with?

A) 20 (B) 24 (C) 30 (D) 40 (E) 6

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Answer

E

Question 22

In a race, Lotar finished before Manfred, Victor finished after Jan, Manfred finished before Jan, and Eddy finished before Victor. Who finished last of these five runners?

(A) Victor (B) Manfred (C) Lotar (D) Jan (E) Eddy

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Answer

E

Question 23

The pages of the book Juliet is reading are all numbered in order. The first page number is 1. What is the last page number if in all page numbers the digit 0 appears exactly five times and the digit 8 appears exactly six times?

(A) 48 (B) 58 (C) 60 (D) 68 (E) 88

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Answer

E

Question 24

During a basketball practice, Jane scored 55% of the time, out of a series of 20 shots. After five more shots, her scoring rate increased to 56%. On how many of the last five shots did she score?

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Answer

E

Question 25

Every pupil in a class either swims or dances. Three-fifths of the class swim and three-fifths dance. Five pupils both swim and dance. How many pupils are in the class?

(A) 15 (B) 20 (C) 25 (D) 30 (E) 35

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Answer

E

Question 26

If John goes to school by bus and walks back, he travels for 3 hours. If he goes by bus both ways, he travels for 1 hour. How long does it take him if he walks both ways?

(A) 3.5 hours (B) 4 hours (C) 4.5 hours (D) 5 hours (E) 5.5 hours

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Answer

E

Question 27

Rosanna wants to walk 5 km on average each day in March. At bedtime on 16th March, she realized that she had walked 95 km so far. What distance does Rosanna need to walk on average for the remaining days of the month to achieve her target?

(A) 5.4 km (B) 5 km (C) 4 km (D) 3.6 km (E) 3.1 km

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Answer

E

Question 28

Anne, Boris and Carl ran a race. They started at the same time, and their speeds were constant. When Anne finished, Boris had 15 m to run and Carl had 35 m to run. When Boris finished, Carl had 22 m to run. What is the distance they ran?

(A) 135 m (B) 140 m (C) 150 m (D) 165 m (E) 175 m

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Answer

E

Question 29

Sophia has 52 identical isosceles and right-angled triangles. She wants to make a square using some of them. How many different sized squares can she make?

(A) 6 (B) 7 (C) 8 (D) 9 (E) 10

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Answer

E

Question 30

Twelve colored cubes are arranged in a row. There are 3 blue cubes, 2 yellow cubes, 3 red cubes and 4 green cubes, but not in that order. There is a yellow cube at one end and a red cube at the other end. The red cubes are all touching. The green cubes are also all touching. The tenth cube from the left is blue. What color is the cube sixth from the left?

(A) green (B) yellow (C) blue (D) red (E) red or blue

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Answer

E

Question 31

Anne, Ben, Catherine, David, Ella and Fred (in that order) are standing in line for a candy at the fair. The clown that is giving away the candy does it in the following way: sends the child in front of the line to the end of the line, then gives candy to the child in front of the line, then sends the child in front of the line to the end of the line, then gives candy to the child in front of the line, etc. until all children get candy. Which of the following is NOT true?

(A) Ben gets candy before David, but after Ella

(B) Fred gets candy after both David and Ben

(C) Anne gets candy after Ben, but before Ella

(D) Fred gets candy before both Ella and Catherine

(E) Catherine gets candy before Ella, but after Fred

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Answer

E

Question 32

. A soccer club owns five identical mowers. It takes 10 hours to mow the grass of the soccer field using two of the mowers. How long does it take to mow the grass of the same field using all five mowers?

(A) 7 hours (B) 6 hours (C) 5 hours (D) 4 hours (E) 3 hours

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Answer

E

Question 33

How much faster does the second hand of a circular clock make one complete rotation compared to the hour hand of the same clock?

(A) 3600 times (B) 120 times (C) 24 times (D) 144 times (E) 720 times

Accepted Answer

E

Answer

A

Answer

B

Answer

C

Answer

D

Question 34

A triangle has sides of lengths 6, 10 and 11. An equilateral triangle has the same perimeter. What is the side length of the equilateral triangle?

(A) 18 (B) 11 (C) 10 (D) 9 (E) 6

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Answer

E

Question 35

. A soccer club owns five identical mowers. It takes 10 hours to mow the grass of the soccer field using two of the mowers. How long does it take to mow the grass of the same field using all five mowers?

(A) 7 hours (B) 6 hours (C) 5 hours (D) 4 hours (E) 3 hours

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Answer

E

Question 36

How much faster does the second hand of a circular clock make one complete rotation compared to the hour hand of the same clock?

(A) 3600 times (B) 120 times (C) 24 times (D) 144 times (E) 720 times

Accepted Answer

E

Answer

A

Answer

B

Answer

C

Answer

D

Question 37

A cyclist rides at 5 m per second. The wheels of his bicycle have a circumference of 125 cm. How many complete turns does each wheel make in 5 seconds?

(A) 4 (B) 5 (C) 10 (D) 20 (E) 25

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Answer

E

Question 38

1.In a class, no two boys were born on the same day of the week and no two girls were born in the same month. Were a new boy or a new girl to join this class, one of these two conditions would no longer be true. How many children are there in the class?

(A) 18 (B) 19 (C) 20 (D) 24 (E) 25

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Answer

E

Question 39

Rachel added the lengths of three sides of a rectangle and got 44cm. Heather added the lengths of three sides of the same rectangle and got 40cm. What is the perimeter of the rectangle?

(A) 42 cm (B) 56 cm (C) 64 cm (D) 84 cm (E) 112 cm

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Answer

E

Question 40

.Mary divides 2015 correctly by 1, 2, 3, and so on, up to and including 1000. She writes down the remainder for each division. How many of these remainders are greater than 600? (A) 0 (B) 29 (C) 35 (D) 36 (E) 41

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Answer

E

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