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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.
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