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STATION 6 - DIGI-GAME

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STATION 6 - DIGI-GAME

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Get ready for an exciting and fast-paced math challenge! In this Digi-Game, you will be presented with a series of math problems. Your goal is to solve each problem within 30 seconds, type your answer in the provided space, and then click Submit to proceed to the next question.

Created by

Russel Villaraza
Russel Villaraza
Philippines

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STATION 6 - DIGI-GAME
 

STATION 6 - DIGI-GAMEOnline version

Get ready for an exciting and fast-paced math challenge! In this Digi-Game, you will be presented with a series of math problems. Your goal is to solve each problem within 30 seconds, type your answer in the provided space, and then click Submit to proceed to the next question.

by Russel Villaraza
1

A number is multiplied by 4. When 6 is added to the product, the result is the same as subtracting 2 from three times the original number. What is the number?

Written answer

2

A bus travels at 60 km/h for 2 hours, then at 80km/h for 3hours. What is the average speed of the bus for the entire journey?

Written answer

3

. Cora has 648 apples. He wants to divide them equally among 9 friends. How many apples will each friend get?

Written answer

4

A number is multiplied by 4, then 12 is added to it, giving a result of 44. What is the number?

Written answer

5

A racetrack is 400 meters long. If a runner completes 5 full laps, how many kilometers has the runner run?

Written answer

6

Find the largest 3-digit number divisible by 12, 15, and 18.

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7

The sum of two numbers is 96, and their GCF is 12. What is the greatest possible product of these two numbers?

Written answer

8

A farmer has 120 apples. He wants to pack them into baskets, with each basket containing the same number of apples. If he can only use baskets that hold 6, 8, or 10 apples, what is the greatest number of apples that each basket can hold?

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9

A number is divisible by both 6 and 9. What is the smallest possible number greater than 50 that satisfies this condition?

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10

A rectangular garden has a perimeter of 48 meters. Its length is twice its width. What are its length and width?

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11

Sarah spent ⅖ of her money on a book and ¼ of the remaining money on a toy. If she had P100.00 at first, how much money does she have left?

Written answer

12

A worker can paint a house in 12 hours. Another worker can do the same job in 18 hours. If they work together, how many hours will it take them to finish?

Written answer

13

A box contains 4 white balls, 3 blue balls and 5 red balls. If one ball is randomly chosen, what is the probability that is not blue?

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Let the number be x: 4x + 6 = 3x – 2 4x – 3x = -2 -6 Answer: X = - 8

Total distance traveled: (60 x 2) + (80 x 3) = 120 + 240 = 360 km Total time: 2+3 = 5 hours Average speed: 360/5 = 72 km/h

Answer: 648 ÷ 9 = 72 apples per friend

Solution: Let the number be X. 4X + 12 = 44 4X = 32 X = 8

400 × 5 = 2,000 meters (or 2 km)

Solution: Find the LCM (Least Common Multiple) of 12, 15, and 18. •Prime factorizations: •12 = 22 x 3 •15 = 3 x 5 •18 = 2 x 32 •LCM = 22 x 32 x 5 = 180 The largest 3-digit multiple of 180 is 900. Answer: 900

Solution: Let the numbers be 12a and 12b where GCF = 12. 12a + 12b = 96 a + b = 8 To maximize the product 12a × 12b, we find values of a and b whose product is highest. •The pair 4 and 4 (since 4 + 4 = 8) gives the maximum product. 12 x 4 x12 x 4 = 2304

Solution: We need to find the greatest common divisor (GCD) of 6, 8, and 10. •Factors of 6: 1, 2, 3, 6 •Factors of 8: 1, 2, 4, 8 •Factors of 10: 1, 2, 5, 10 The greatest common factor is 2. Answer: The greatest number of apples each basket can hold is 2.

Solution: A number divisible by both 6 and 9 must be a multiple of the least common multiple (LCM) of 6 and 9. •LCM of 6 and 9: •Factors of 6: 2 × 3 •Factors of 9: 3 × 3 •LCM = 2 × 3 × 3 = 18 The smallest multiple of 18 greater than 50 is 54.

Solution: Let the width be x meters. Then the length is 2x. The perimeter is given by: 2(x + 2x) = 48 6x = 48 x = 8 Thus, •Width = 8 meters •Length = 16 meters

Solution: Money spent on the book: ⅖ x 100=40 Money left: 100 – 40 = 60 Money spent on the toy: ¼ x 60 = 15 Money left 60-15 = 45

Solution: 1/12 + 1/18 Find the LCM of 12 and 18 is 36 3/36 + 2/36 = 5/36 Time to complete 36/5 = 72.5 = 7 hours and 12 minutes

Solution: Total balls = 4+3+5=12 Non-blue balls=4+5=9 P (not blue) 9/12 = ¾

 
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