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Welcome to ALOHA’s 2nd Annual National Math Challenge

Preliminary test [Regional testing locations]: Sat, Mar 10 (Time will be announced by your regional coordinator)

Semifinals [local ALOHA centers]: Sat, Apr 14

Finals [in NJ]: Sat, May 12

WEEK 1 - SAMPLE QUESTIONS


WEEK 3 – SAMPLE QUESTIONS




PREJUNIOR – Grades 1 & 2

1. James wants to count how many vegetables he has in his farm. On Monday he finds that he has 20 tomatoes, 25 carrots, and 15 pumpkins. However, after a storm on Thursday, he sees that he only has 10 tomatoes, 5 carrots, and 8 pumpkins left. How many total vegetables did he lose from the storm?

A. 40 B. 37 C. 35 D. 33

2. Julia is waiting in line to get a drink. She lets two of her friends, Meghan and Paulina cut in front of her in that order. Her friend Dave is 7th in line and five spots behind Meghan. What spot in line is Julia in?

A. 2nd B. 3rd C. 4th D. 5th

3. Mai wants to bake a cake for her friend’s birthday tomorrow which starts at 3:00 pm. It will take her an hour and 15 minutes to prepare the batter, 2 hours in the oven, 20 minutes to let it cool, and another 45 minutes to decorate. She also has dance class for one hour that she needs to attend in between and homework to finish that will take another hour and 30 minutes. When is the latest she can wake up to have the cake ready before her friend’s birthday?

A. 8:00 AM B. 8:10 AM C. 8:20 AM D. 8:50 AM


4. I am a number. My 1’s digit is four times my tens digit. My hundreds digit is two more than twice my thousands digit. My thousands digit is three less than three times my tens digit. If my tens digit is 2. What number am I?

A. 5614 B. 3828 C. 2501 D. 8732

5. Which of the following paths is the fastest way for Joel to go to school from his home?

A. A (Blue) B. B (Green) C. C (Yellow) D. One or more of the paths are the same


Week 1

JUNIOR – Grades 3 & 4

1. Clara, Misty, Michael, and Roberto were playing a game of 2 on 2 volleyball. Misty and Clara were never on the same team but switched partners after the first game. If Michael won his first game, Roberto won one of his two games, and Clara won her last game. Which team lost the first game?

A. Clara and Misty B. Michael and Misty C. Roberto and Clara D. Michael and Roberto

2. Kelsea Ballerini loves to sing and dance. Her goal is to be able to dance for 4 hours straight in 4 days. If she dances twice as much each day as the previous day. How long did she dance on her first day?

A. 15 mins B. 30 mins C. 1 hour D. 2 hours

3. When Highland Park Highschool won the State Championships this year, each player on the field did a special handshake with one another. If there were 11 total players on the field. How many handshakes were done altogether at the end of the game?

A. 35 B. 55 C. 45 D. 25

4. What is the units digit of the x? 𝑥𝑥 = 36876 ∗ 13222 ∗ 56234 ∗ 85237 ∗ 76523

A. 2 B. 4 C. 6 D. 8


5. On an airplane, there are 200 seats. The flight is fully booked and 200 passengers board the

plane and everyone has a ticket with an assigned seat number. If the first passenger lost his ticket and takes a random seat. If each passenger after him either sits in their own seat or takes a random seat, what is the probability that the last passenger will sit in his own seat?

A. 1/200 B. 1/4 C. 1/2 D. 199/200


Week 1

SENIOR - Grades 5 & 6

1. What is the least common multiple of 1, 2, 3, 4, 5, 6, 7, 8? A. 40320 B. 840 C. 1220 D. 960

2. If 2𝑥𝑥: 𝑦𝑦 𝑖𝑖𝑖𝑖 𝑒𝑒𝑒𝑒𝑒𝑒𝑖𝑖𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒𝑒 𝑒𝑒𝑡𝑡 6𝑥𝑥: 150. What is y? A. y = 50 B. y = 40 C. y = 30 D. y = 20

3. Simplify the following: √20 A. √20 B. 4√5 C. 5√2 D. 2√5

4. Steve-O is looking to buy a pair of B&O headphones which cost $300.00. He ended up buying the headphones on the 1st week of December from Best Buy for $265.99. Below is a table of the price of the headphones from Best Buy and Amazon during the month of November. When should Steve-O have bought the headphones?

Stores Best Buy Amazon Original Price $300.00 $300.00 November Week 1 10% markup from original 0% change from original November Week 2 25% discount from Week 1 15% discount from Week 1 November Week 3 15% discount from Week 2 10% discount from Week 2 November Week 4 15% discount from Week 3 5% discount from Week 3


A. 1st Week of December from Best Buy B. 3rd Week of November from Amazon C. 4th Week of November from Best Buy D. 4th Week of November from Amazon

5. In a computer store, there are 3 kinds of laptops, Dells, Lenovos, and Macbooks. If the ratio of Dells to Lenovos is 3:2, ratio of Lenovos to Macs is 4:3, and the total number of laptops is more than 100. Which of the following can be the total number of laptops? A. 108 B. 110 C. 113 D. 117


Week 1 - Answer Key

PRE JUNIOR

1. B 2. C 3. B 4. B 5. C

JUNIOR

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

SENIOR

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




1. What are the next three terms in the sequence: 1, 2, 2, 3, 3, 3, 4, 4, _, _, _ …… A. 3, 4, 5 B. 4, 4, 4, C. 4, 4, 5 D. 4, 5, 6

2. A hash brown costs $0.50. An egg and cheese sandwich costs $1.20. If Tom wants to buy, 3 hash browns and 2 egg and cheese sandwiches, how much money does he need? A. $4.00 B. $3.90 C. $4.60 D. $2.20

3. Lilly eats 6 oranges every week. Archie eats 4 oranges every week. How many oranges do they both eat in 6 weeks? A. 40 oranges B. 60 oranges C. 72 oranges D. 84 oranges

4. Johnny is standing in line to buy tickets for a concert. He is 12th in line counting from the front of ticket stand, and 21th in line counting from the back of the line. How many total people are in line? A. 12 people B. 26 people C. 21 people D. 32 people


5. Eddie is cleaning out his room. He has 6 shirts, 8 shorts, 3 sweatshirts, and 2 pants. He keeps half his shirts, gives 2 of his shorts to his younger brother, gives one sweatshirt to his sister, throws away all his pants. How many clothes does he have left? A. 19 clothes B. 11 clothes C. 13 clothes D. 16 clothes


Week 2


1. What is 4 68 as an improper fraction?

A. 19

4

B. 378

C. 354

D. 218

2. What is the largest angle you could have in a triangle? (Assume only whole number angles) A. 180° B. 90° C. 150° D. 178◦

3. A smaller circle is inside a larger circle. If the radius of the larger circle is 5, and the radius of the smaller circle is 3. What is the difference in area between the larger and smaller circle? A. 25π B. 9π C. 16π D. 34π

4. A pair of headphones cost $200.00. James bought the headphones at a 15% discount. Mark bought the headphones at a 25% mark-up. Liam bought the headphones for a 10% discount after a 20% mark-up. Rose bought the headphones for $175.00. Who bought the headphones for the lowest price? A. James B. Mark C. Liam D. Rose


5. A cube has a volume of 64 𝑐𝑐𝑚𝑚3, what is its surface area? A. 16 𝑐𝑐𝑚𝑚2 B. 96 𝑐𝑐𝑚𝑚3 C. 48 𝑐𝑐𝑚𝑚2 D. 64 𝑐𝑐𝑚𝑚2


Week 2


1. What is the volume of a sphere with a radius of 3 cm? Use 3.14 as π. A. 113.04 𝑐𝑐𝑚𝑚3 B. 339.12 𝑐𝑐𝑚𝑚3 C. 84.78 𝑐𝑐𝑚𝑚3 D. 28.26 𝑐𝑐𝑚𝑚3

2. What is the slope of the line 5𝑥𝑥 + 𝑦𝑦 = 2? A. 5 B. -5 C. 2 D. -2

3. What is the distance between the points (6,9) and (2, 6)? A. 5 B. 11 C. 10 D. 7

4. The length of two sides of a right triangle are 20 cm and 12 cm. If 20 cm is the hypotenuse, what is the length third side? A. 8 cm B. 32 cm C. 16 cm D. 18 cm

5. What is the degree of the following equation: 2𝑥𝑥2 − 3𝑥𝑥4 + 5𝑥𝑥 − 7 = 0 ? A. Linear B. Quadratic C. Cubic D. Quartic


Week 2 - Answer Key

PRE JUNIOR

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

JUNIOR

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

SENIOR

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




1. What is the thousands digit in 284597? A. 4 B. 5 C. 9 D. 7

2. Jack, Jill, Joel, and James all ran 400 meters. If Jill finished in 85 seconds, Jack finished in a minute and a half, Joel finished in a minute and 45 seconds, and James finished in 110 seconds, who ran the slowest? A. Jack B. Jill C. Joel D. James

3. What is the missing number in the pattern: 11, 22, 33, 44, ?, 66, 77, 88, … A. 55 B. 40 C. 65 D. 99

4. What would be the best unit to measure the distance between New York and California? A. Centimeters B. Inches C. Feet D. Miles


5. Which shape has the fewest number of sides? A. Pentagon B. Heptagon C. Rectangle D. Hexagon


Week 3


1. What number is the same as 2892? A. 2 thousands and 9 tens and 2 ones B. 28 hundreds, 9 tens, and 2 ones C. 2 thousands, 8 hundreds, 92 tens D. 2982 ones

2. What shapes are 12

𝑒𝑒𝑒𝑒𝑎𝑎 13 of a hexagon?

A. Trapezoid and Triangle B. Pentagon and Square C. Triangle and Rectangle D. Trapezoid and Rhombus

3. Derek sold 245 oranges on the first day. On the 2nd day he sold 15 less oranges than he did on the first day. On the 3rd day he sold 25 more oranges than he did on the 2nd day. On the 4th day he sold 8 less oranges than he did on the 1st day. On the 5th day he sold 39 more than he did on the 3rd day. How many oranges did he sell in total? A. 946 oranges B. 1029 oranges C. 1178 oranges D. 1261 oranges

4. For a spelling bee, Michael needs to learn 2018 words. If he learns 38 words every day, how many days will it take him to learn all 2018 words? A. 50 B. 53 C. 54 D. 58


5. There are twice as many adults as children in a town. If there are 201 people in the town, how many children are there? A. 134 children B. 268 children C. 88 children D. 67 children


Week 3


1. In a football game, the following is the yards gained/lost on 6 plays: 13, -2, -5, 8, 4, -7. Arrange the numbers in order from greatest to least. A. -2, 4, - 5, - 7, 8, 13 B. 13, 8, - 7, - 5, 4, -2 C. 13, 8, 4, -2, -5, -7 D. 13, 8, 4, -7, -5, -2

2. What is the value of 5𝑥𝑥3 + 3𝑥𝑥2 − 10 + 13𝑥𝑥 𝑤𝑤ℎ𝑒𝑒𝑒𝑒 𝑥𝑥 = 3? A. 191 B. 285 C. 201 D. 179

3. If the number of brownies Jake gives out to his 5 friends can be explained by the inequality 20 ≤ 5𝑥𝑥 ≤ 85, which statement below is true? A. Jake baked more than 85 brownies or less than 20 brownies B. Each friend received between 4 and 17 brownies C. Jake could not have baked 20 brownies D. The total number of brownies Jake baked was 85

4. Which of the following is equal? A. 8x – 4 and 4 – 8x B. -3(2+5x) and -3(2)(5x) C. 10 – 3 and -3 – (-10) D. -2x – 5x and – 6x


5. 21 ∗ 121

= 1 corresponds with which of the following properties? A. Associative Property of Multiplication B. Commutative Property of Multiplication C. Identity Property D. Multiplicative Inverse Property


Week 3 - Answer Key

PRE JUNIOR

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

JUNIOR

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

SENIOR

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




1. Each side of a square is 5 cm. The length of a rectangle is 4 cm and the width of a rectangle is 5 cm. Which shape has the greater perimeter? A. Rectangle B. Square C. Both have the same perimeter D. Neither

2. The difference between 20 and 12 is equal to 4 times what number? A. 8 B. 6 C. 4 D. 2

3. Julie is throwing darts. If she throws a total of 8 darts and half the darts miss the target, how many darts hit the target? A. 8 B. 4 C. 2 D. 6

4. What is 124 + 320 rounded to the nearest 10th? A. 444 B. 450 C. 440 D. 400


5. There are 10 chips in a bag. How many chips are there in 3 bags? A. 10 chips B. 20 chips C. 30 chips D. 40 chips


Week 4


1. I am a number less than 25 but greater than 10. I am divisible by 5 and a multiple of 3. What number am I? A. 12 B. 21 C. 18 D. 15

2. What is 3 1419

as an improper fraction? A. 71

19

B. 5719

C. 94

D. 1457

3. Which of the following is greater? A. The complimentary angle to 40° B. The supplementary angle to 122° C. An acute angle less than 50° D. An obtuse angle greater than 122°

4. James paid $100.00 for a pair of shoes that were on sale for 20%. What was the original price of the shoes? A. $80.00 B. $125.00 C. $120.00 D. $90.00


5. How do you tell if a number is divisible by 9? A. If the number is divisible by 3 then it is divisible by 9 B. If the number is divisible by 2 and 3 then it is divisible by 9 C. If the sum of the digits is divisible by 9 then the number is divisible by 9 D. If the sum of the digits is divisible by 3 then it is divisible by 9


Week 4


1. Simplify: 25

23∗ 24

A. 212 B. 26 C. 24 D. 22

2. If 𝑥𝑥 = 4, what is: 8 − 5𝑥𝑥 + 3 + 19 + 11𝑥𝑥 = ? A. 36 B. 44 C. 54 D. 61

3. On a coordinate plane, Max graphs 𝑦𝑦 = 5 𝑒𝑒𝑒𝑒𝑎𝑎 𝑦𝑦 = 3. Which of the following is true about the following lines? A. The two lines are perpendicular B. The two lines intersect at a 45° 𝑒𝑒𝑒𝑒𝑎𝑎𝑒𝑒𝑒𝑒 C. The two lines are parallel D. The two lines are vertical

4. What is the units digit of 918? A. 1 B. 9 C. 7 D. 3


5. What is the x- intercept of the following equation, 𝑦𝑦 = 3𝑥𝑥 − 9? A. (2,0) B. (3,0) C. (0, -9) D. ((0,3)


Week 4 - Answer Key

PRE JUNIOR

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

JUNIOR

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

SENIOR

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

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