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Guidelines and tips
Prepare for your exams
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strategies in solving math problems helping students to know the problem easily by techniques.
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2021/2022
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Problem Solving Strategies
Guess and Check
Magic Square
Fill in the small boxes with digits 1 – 9 such
that each horizontal, vertical, and diagonal
line of numbers must add up to the same sum.
Guess and Check
Handshakes Problem
In a party there are 8 people. If everyone at
the party shakes hands with everyone else,
how many handshakes would there be?
Make an Orderly List
Number of 1 s Number of^5 s Number of 10 s Total Score 3 0 0 3 2 1 0 7 2 0 1 12 1 2 0 11 1 1 1 16 1 0 2 21 0 3 0 15 0 2 1 20 0 1 2 25 0 0 3 30 Make an Orderly List
Girl Scout Hike
A Girl Scout troop went on a hike. First they
walked 1 mile east, then 2 miles south, then
3 miles west, and 1 mile north, then 2 miles
east. How far is the troop from their
starting point?
Draw a Diagram
In a stock car race, the first five finishers in some order were a Ford, a Pontiac, a Chevrolet, a Buick and a Dodge. (a) The Ford finished 7 seconds before the Chevrolet. (b) The Pontiac finished 6 seconds after the Buick. (c) The Dodge finished 8 seconds after the Buick. (d) The Chevrolet finished 2 seconds before the Pontiac. In what order did the cars finish the race? Draw a Diagram
Numerical Sequences
Fill in the next two blanks in each part.
1, 4, 7, 10, 13, ___, ___
Look for a Pattern
Numerical Sequences
Fill in the next two blanks in each part.
1, 4, 9, 16, 25, ___, ___
Look for a Pattern
Numerical Sequences
Fill in the next two blanks in each part.
1, 1, 2, 3, 5, ___, ___
Look for a Pattern
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11
- 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 =
What is the sum of the first twenty counting numbers? Look for a Pattern
What is the sum of the first one hundred counting numbers? 1 + 2 + 3 + 4 + 5 + 6 + … + 95 + 96 + 97 + 98 + 99 + 100 =
Look for a Pattern
Pattern of Dots
Draw the next two diagrams to continue this
dot sequence. How many dots will there be in
the 100
th
figure?
Make a Table
3-Digit Number
The sum of the digits of a three-digit number
is 18. If the second and third digits were
interchanged, the given number would be
increased by 36. If the first and third digits
were interchanged, the new number would
be 99 less than the original number. Find the
number.
Use a Variable