Mathletics 2013

Juniors – Grades 5 & 6Session 1

Q1. Numeration

Fifteen times a number is 300. Find the number.15 X ?? = 300

(A) 20 (B) 10 (C) 60 (D) 30 (E) 25

Answer

Q2. More Numeration

3 X (3 + 3) ÷ 3 equals ?

(A) 6 (B) 3 (C) 2 (D) 12 (E) 9

Answer

Q3. Pie sharing

½ to Bob½ of what is left to JimShare it equally again with Anna.What is left for you?

Answer

Q4. ReflectionFind reflection of the shape :

Answer

Q5. Population

Answer

State Population in 2000

Population in 2010

California 33,871,648 37,253,956

Illinois 12,419,293 12,830,632

Texas 20,851,820 25,145,561

Michigan 9,938,444 9,883,640

Indiana 6,080,485 6,483,802

Oklahoma 3,450,654 3,751,351

Mississippi 2,844,658 2,967,297

Utah 2,233,169 2,763,885Which state has had a drop in

population ?A) Oklahoma B) Utah C) Texas D)

Michigan

Q6. Video Frames

Video contains 30 frames per second.A 10 minute music video contains how many frames ?

Answer

Q7. Summer Schedule

How long are John’s Piano practice, Soccer practice and Video game time?A 1 hour 19 min; 1 hour 44 min; 2 hours 2 min B 1 hour 41 min; 1 hour 54 min; 1 hours 2 min C 1 hour 19 min; 1 hour 54 min; 1 hours 2 min D 1 hour 41 min; 1 hour 44 min; 2 hours 2 min

Event Start Time End Time

Piano Practice 10.45 A.M. 12.04 P. M.

Soccer 3.06 P.M. 5.00 P.M.

Video Game 7.13 P.M. 8. 15 P.M

Answer

Q8. Picnic Table

Table width = 15.6 cm

Table length = 0.3 mHow large should thetable cloth be ?A) 4.68 cm2B) 46.8 cm2C) 0.468 m2 D) 0.0468 m2

Answer

Q9. Sum of Angles

Sum of all the angles in this shape ?

Answer

Q10. Balls in a Bag

14 balls in totalProbability of finding a blue ball = 1/2Probability of finding a green ball = 2/7Probability of finding a red ball = 3/14

How many green balls are there in thebag ?

Answer

Q11. Cardboard Box

Rectangle – 15 cm X 10 cm

Mary cuts squares with sides 3 cm on 4 corners, whatis the area after cutting ?

Answer

Q12. Ground Beef

Ground beef sells for $5.00 per kg. How

much does 12 kg of ground beef cost ?

(A) $5.00 (B) $12.00 (C) $60.00 (D) $17.00 (E) $2.40

Answer

Q13 Octagonal Prism

Which number from 1 to 8 represents an octagonal prism ?

Answer

Q14. Score PercentageBailey scores on six of her eight shots. The percentage of shots that she does not score on is

Answer

Q15. Temperature Difference

How much cooler in November as compared to July ?

Answer

Q16. Bat SwingsProbability of hitting is 0.4.IF Evan has to hit 60 shots, how many swings should he make ?

Answer

Q17 Sequence

What comes next in this sequence: 101, 115, 123, 137, 145…?

Answer

Q18. Open Doors

Answer

Q19. Ice cream Probability

10 Ice cream cups in freezer4 are strawberry, 2 are butter scotch, 2 are vanilla and 2 are chocolate ice creamYou pick one. What is the probability it is not strawberry ?Answer in Decimal

Answer

Q20. Volume of Object

Answer

Numeration

Answer is A 15 * Number = 300Number = 300/15Number = 20

Next Question

More Numeration

Answer: 63 X (3 + 3) ÷ 3 = 3 X (6) ÷ 3 = 3 X 2 = 6

Next Question

Pie Sharing

Answer: 0.125 or 1/8 of pie is left½ to Bob½ of ½ which is ¼ to Jim½ of ¼ which is 1/8 to AnnaYou have equally divided it with

Anna. So you are left with 1/8th of the pie.

Next Question

Reflection

Answer: A

Next Question

PopulationState Population in

2000Population in 2010

California 33,871,648 37,253,956

Illinois 12,419,293 12,830,632

Texas 20,851,820 25,145,561

Michigan 9,938,444 9,883,640

Indiana 6,080,485 6,483,802

Oklahoma 3,450,654 3,751,351

Mississippi 2,844,658 2,967,297

Utah 2,233,169 2,763,885

Answer: D (Michigan)

Next Question

Video Frames

Answer: 180001 second video contains 30 frames10 minutes has 10 X 60 = 600

secondsSo a 10 minute video = 600 X 30 = 18000 frames

Next Question

Summer Schedule

Answer: C (1 hour 19 min; 1 hour 54 min; 1 hours 2 min )

10:45 AM to 11AM is 15 minutes, 11 to 12 is 1 hour & 12 to 12:04 PM is 4 minutes, adding all together is 1 hour 15 minutes. Similar calculation for other activities

Event Start Time End Time

Piano Practice 10.45 A.M. 12.04 P. M.

Soccer 3.06 P.M. 5.00 P.M.

Video Game 7.13 P.M. 8. 15 P.M

10:45 AM to 11:00 AM is

Next Question

Picnic Table

Answer: D (0.0468 m2)Convert the width of 15.6 cm to

metersWidth = 15.6 cm = 0.156 mLength = 0.3 mArea of cloth required = 0.156 X 0.3 = 0.0468 m2

Next Question

Sum of Angles

Answer: 360 degrees

Sum of angles in all 4 sided figures is 360 degrees.

Divide 4 sided figure into two triangles. We know sum of angles in triangles is 180 degrees. There are two triangles, so the total is 360 degrees.

Next Question

Balls in the bag

Answer: 4 green ballsThe probability of blue ball is ½. So

half the balls are blue. Hence 7 balls are blue.

The probability of red ball is 3/14. So 3 of the balls are red.

So the remaining balls are green.Green balls = 14 – 7 – 3 = 4

Next Question

Cardboard Box

Answer: 114 Sq.cmThe area of rectangle = 15 X 10 = 150

sq.cmArea of 4 squares cut = 4 X 3 X 3 = 36

sq.cmArea of cardboard left = 150 – 36 = 144

sq. cm

Next Question

Ground Beef

Answer: $ 60.001 kg = $5.0012 kg = $5.00 X 12 = $ 60.00

Next Question

Octagonal PrismAnswer: 6

Next Question

Score Percentage

Answer: E (25%)Solution:Since Bailey scores on 6 of her 8

shots, then she misses on 8 - 6 = 2 shots.

If she misses on 2/8 = 1/4 of her shots, then the percentage of shots that she does not score is 1/4 x 100% = 25%. Next Question

Temperature Difference

Answer: 16Temperature in July = 21, Temperature in Nov = 5Difference = 21 – 5 =16

21

5

Next Question

Casino

Answer: 150Probability = 0.4 (means he will win

40% of games)Find 40% of which number gives 60(40/100)* number = 60Number = 60*100/40 = 150

Next Question

Sequence

Answer: 159The pattern ->14 added to the first

number and 8 is added the second number. The pattern continues this way…

So the sequence is 101, 115 (101+14), 123 (115+8), 137 (123+14), 145 (137+8) and the next number is 145+14 = 159

Next Question

Open Doors

Answer: B

Next Question

Ice cream Probability

Answer: 0.6 Total = 10 ice creamStrawberry = 4P(not strawberry) = (10-4)/10 = 6/10 = 0.6

Next Question

Volume of object

Answer: 6 Just count the number of cubes.