Froggy Jumps
Mind-bending word problems and puzzles.
1
The Three Siblings' Allowance
Anna, Bea, and Carl received a total of ₱1,260 in allowance.
Carl got ₱60 more than Bea.
Anna got twice as much as Carl.
How much did each receive?
2
The Speed Boat Riddle
A boat travels downstream from Point A to Point B in 2 hours and returns upstream in 3 hours.
If the speed of the current is 4 km/h, what is the speed of the boat in still water if the distance between A and B is 24 km?
3
The Table of Cups
A tray holds only tall cups and short cups.
Tall cups cost ₱15 and short cups cost ₱10.
There are 12 cups in total and their total cost is ₱150.
How many tall cups and short cups?
4
The Triangle Lot Problem
A triangular lot has a perimeter of 54 meters.
Side A is 3 meters shorter than side B,
and side C is twice the length of side A.
Find the lengths of the three sides.
5
The Warehouse Boxes Riddle
A warehouse has boxes of nails weighing 3 kg each and boxes of screws weighing 2 kg each.
There are 20 boxes in total with a total weight of 48 kg.
How many boxes of nails and screws?
6
The Festival Stands
Three stalls sell: Taho, Turon, Banana Cue.
Sellers: Liam, Mira, Noah
Clues:
Liam is not selling Banana Cue.
Mira is selling something sweeter than what Noah sells.
The Turon seller’s name comes last alphabetically.
7
Three students lost phones: Android, iPhone, Keypad Phone.
Owners: Rose, Tina, Vince
Clues:
Rose does not own the iPhone.
The iPhone owner sits between Rose and Vince.
Tina owns a phone more modern than Vince's.
8
Science Projects
Projects: Volcano, Solar System, Water Filter
Students: Harvey, Jared, Kira
Clues:
Harvey did not make the Water Filter.
Jared's project is alphabetically first.
Kira made the most complex project.
9
Classroom Chairs
Colors: Blue, Red, Green
Students: Alden, Bea, Cielo
Clues:
Alden does not sit on the red chair.
The person on the green chair sits alphabetically between the other two names.
Cielo is not on the green chair.
10
Afternoon Clubs
Clubs: Chess, Arts, Robotics
Members: Dan, Ella, Faye
Clues:
Ella is not in Arts.
The Robotics member sits next to the Chess member.
Dan is not in Robotics.
11
If a bat and ball cost $1.10 and the bat costs $1.00 more than the ball, what is the ball's price?
12
Jane has 3 red balls, 2 blue balls, and 1 green ball. How many ways to pick 1 ball of any color?
13
Two trains start 100 miles apart and move toward each other at 40 mph and 60 mph. When do they meet?
14
If x + y = 10 and x − y = 4, what is x?
15
A shop sells pens at 3 for $6. How much for 5 pens?
16
In a class of 30, 18 pass math, 12 pass science. How many pass both if 8 pass neither?
17
If all P’s are Q’s and all Q’s are R’s, are all P’s R’s?
18
A book costs $12 after a 20% discount. What was the original price?
19
You have 3 bags: 2 red, 1 blue. Pick 1 bag then 1 marble. What’s probability of blue bag then red marble?
20
If it takes 5 machines 5 minutes to make 5 widgets, how long for 100 machines to make 100 widgets?
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Contesta las siguientes multiplicaciones correctamente para salvar a la ranita y evitar que caiga al agua, mucha suerte!