Mathletics 2013 Juniors – Grades 5 & 6 Session 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 Bob ½ of what is left to Jim Share it equally again with Anna. What is left for you? Answer

Q4. Reflection Find reflection of the shape : Answer

Q5. Population Answer StatePopulation in 2000Population in 2010 California33,871,64837,253,956 Illinois12,419,29312,830,632 Texas20,851,82025,145,561 Michigan9,938,4449,883,640 Indiana6,080,4856,483,802 Oklahoma3,450,6543,751,351 Mississippi2,844,6582,967,297 Utah2,233,1692,763,885 Which 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 EventStart TimeEnd Time Piano Practice10.45 A.M P. M. Soccer3.06 P.M.5.00 P.M. Video Game7.13 P.M P.M Answer

Q8. Picnic Table Table width = 15.6 cm Table length = 0.3 m How large should the table cloth be ? A) 4.68 cm2 B) 46.8 cm2 C) m2 D) m2 Answer

Q9. Sum of Angles Sum of all the angles in this shape ? Answer

Q10. Balls in a Bag 14 balls in total Probability of finding a blue ball = 1/2 Probability of finding a green ball = 2/7 Probability of finding a red ball = 3/14 How many green balls are there in the bag ? Answer

Q11. Cardboard Box Rectangle – 15 cm X 10 cm Mary cuts squares with sides 3 cm on 4 corners, what is 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 Percentage Bailey 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 Swings Probability 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 freezer 4 are strawberry, 2 are butter scotch, 2 are vanilla and 2 are chocolate ice cream You 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 = 300 Number = 300/15 Number = 20 Next Question

More Numeration Answer: 6 3 X (3 + 3) ÷ 3 = 3 X (6) ÷ 3 = 3 X 2 = 6 Next Question

Pie Sharing Answer: or 1/8 of pie is left ½ to Bob ½ of ½ which is ¼ to Jim ½ of ¼ which is 1/8 to Anna You have equally divided it with Anna. So you are left with 1/8 th of the pie. Next Question

Reflection Answer: A Next Question

Population StatePopulation in 2000Population in 2010 California33,871,64837,253,956 Illinois12,419,29312,830,632 Texas20,851,82025,145,561 Michigan9,938,4449,883,640 Indiana6,080,4856,483,802 Oklahoma3,450,6543,751,351 Mississippi2,844,6582,967,297 Utah2,233,1692,763,885 Answer: D (Michigan) Next Question

Video Frames Answer: second video contains 30 frames 10 minutes has 10 X 60 = 600 seconds So a 10 minute video = 600 X 30 = 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 EventStart TimeEnd Time Piano Practice10.45 A.M P. M. Soccer3.06 P.M.5.00 P.M. Video Game7.13 P.M P.M 10:45 AM to 11:00 AM is Next Question

Picnic Table Answer: D ( m 2 ) Convert the width of 15.6 cm to meters Width = 15.6 cm = m Length = 0.3 m Area of cloth required = X 0.3 = m 2 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 balls The 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.cm The area of rectangle = 15 X 10 = 150 sq.cm Area of 4 squares cut = 4 X 3 X 3 = 36 sq.cm Area of cardboard left = 150 – 36 = 144 sq. cm Next Question

Ground Beef Answer: $ kg = $ kg = $5.00 X 12 = $ Next Question

Octagonal Prism Answer: 6 Next Question

Score Percentage Answer: E (25%) Solution: Since Bailey scores on 6 of her 8 shots, then she misses on = 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: 16 Temperature in July = 21, Temperature in Nov = 5 Difference = 21 – 5 = Next Question

Casino Answer: 150 Probability = 0.4 (means he will win 40% of games) Find 40% of which number gives 60 (40/100)* number = 60 Number = 60*100/40 = 150 Next Question

Sequence Answer: 159 The 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 = 159 Next Question

Open Doors Answer: B Next Question

Ice cream Probability Answer: 0.6 Total = 10 ice cream Strawberry = 4 P(not strawberry) = (10-4)/10 = 6/10 = 0.6 Next Question

Volume of object Answer: 6 Just count the number of cubes.