Math Kangaroo Quiz

Jessica and Armin have four candles each. Every candle burns itself out within three hours. Jessica lit two of her candles and placed them next to an open window. 30 minutes later, the wind blew out one of Jessica's candles, and another hour later, the wind blew out another one of Jessica's candles. Then, Jessica closed the window and lit all four of her candles again. Armin, observing this, decided to light all four of his candles at the same moment Jessica relit hers. How long after this moment will the last candle from either Jessica or Armin burn out?

• 1 hr 30 min

• 2 hr

• 3 hr

• 7 hr 30 min

• 8 hr

Answer explanation

After closing the window and lighting all four candles, the remaining two candles will burn for 3 hours, so the last candle will burn out 3 hours after this moment.

Joseph, Vivaan, and Jessica had 7 sticks. They broke one of them into two pieces. How many sticks do Joseph, Vivaan, and Jessica have now?

• 5

• 6

• 7

• 8

• 9

Answer explanation

Joseph and Vivaan have 7 sticks. After breaking one, they have 8 sticks in total.

Tags

CCSS.2.MD.B.5

Armin, Jai, and Vivaan bought a chocolate heart for their teacher. Each candy square weighs 10 grams. What is the weight of the whole heart?

• 340 g

• 360 g

• 380 g

• 400 g

• 420 g

Answer explanation

The weight of the whole heart is 36 squares * 10 grams/square = 360 grams. Therefore, the correct answer is 360 g.

Tags

CCSS.3.MD.A.2

There are 12 pairs of shoes on each of 10 shelves in the animal shoe store. Raaghav and Jessica are the first customers. Three centipedes, friends of Raaghav, buy 30 pairs of shoes each, and two of Jessica's centipede friends buy 5 pairs of shoes each. How many pairs of shoes are left on the shelves?

• 10

• 15

• 20

• 25

• 30

Answer explanation

The centipedes bought a total of 3*30 + 2*5 = 90 + 10 = 100 pairs of shoes. So, 12*10 - 100 = 120 - 100 = 20 pairs of shoes are left on the shelves.

Tags

CCSS.3.OA.D.8

For five days, Jai and Jessica were helping their mother pick berries. On the first day, they ate most of their berries and gave their mother only one cup of berries. They decided that each day they would be giving their mother twice as much berries as the day before. How many cups of berries did Jai and Jessica give their mother in five days?

• 5

• 31

• 21

• 11

• 16

Answer explanation

On the first day, they gave 1 cup. Then 2 cups, 4 cups, 8 cups, and 16 cups on the following days. Adding them up, they gave a total of 31 cups in five days.

Tags

CCSS.5.OA.B.3

Which of the following expressions is correct?

• 12 + (4 + 8) = 11

• 8 × 2 + 3 = 40

• Jai calculated 2 × 3 + 4 × 5 and got 26, is he correct?

• (10 + 8) ÷ 2 = 14

• 18 – 6 ÷ 3 = 16

Answer explanation

The correct expression is (10 + 8) ÷ 2 = 14, as it follows the correct order of operations and gives the correct result.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Jessica, Samihan, Raaghav, and Vivaan are counting the number of students in the school yard. They find there are 19 girls and 12 boys. At least how many students need to join them so that six groups with the same number of students can be formed?

• A) 1

• B) 2

• C) 3

• D) 4

• E) 5

Answer explanation

To form six groups with the same number of students, the total number of students should be divisible by 6. The current total is 31 (19 girls + 12 boys). To find the minimum number of students needed to join, we need to find the smallest number that, when added to 31, is divisible by 6. The next multiple of 6 after 31 is 36, so at least 5 students need to join. Therefore, the correct answer is E) 5.

Four sticks, each 14 cm long, were placed in the way shows in the picture for a total length of 80 cm. The distances between the sticks are equal. Jessica, Samihan, and Jai are trying to figure out how long is each of these distances. Can you help them?

• A) 1 cm

• B) 2 cm

• C) 3 cm

• D) 5 cm

• E) 8 cm

Answer explanation

The total length of the sticks is 80 cm, and there are 4 equal distances between them. So, each distance is 80 cm / 4 = 20 cm. Therefore, each distance is 20 cm - 14 cm (length of stick) = 6 cm. Since the distances are equal, each distance is 6 cm / 2 = 3 cm. Therefore, the correct answer is C) 3 cm.

Tags

CCSS.4.MD.A.2

Jessica was born on Vivaan's third birthday. How many years later will Jessica be twice as old as Vivaan?

• A) 1

• B) 2

• C) 3

• D) 4

• E) 5

Answer explanation

Jessica will be twice as old as Samihan 4 years later, so the correct answer is D) 4.

Tags

CCSS.8.EE.C.7B

Armin and Vivaan decided to explore the Sniezna Cave in the Tatra Mountains with their friends Jessica and Jai. They discovered that the lowest point of the cave is located 221 m below the cave entrance, and the highest point of the cave is located 419 m above the cave entrance. They are curious to know the depth (the distance between the lowest and highest points) of this cave. Can you help them find it?

• A) 198 m

• B) 221 m

• C) 419 m

• D) 640 m

• E) 650 m

Answer explanation

The depth of the cave is the sum of the distance below and above the entrance, which is 221m + 419m = 640m. Therefore, the correct answer is D) 640 m.

Tags

CCSS.7.NS.A.1C