WorksheetsPost: Problem Solving, Mathematical Investigation and Modelling
Total questions: 50
Worksheet time: 2hrs 38mins
This algorithm solves a large problem by repeatedly breaking it down into smaller subproblems until they can be solved directly.
Divide and Conquer Algorithm
Brute Force Algorithm
Backtracking Algorithm
Greedy Algorithm
Identifying which information or data is found in the problem before assigning variables is part of which step?
Understand the Problem
Devise a Plan
Carry out the Plan
Look Back
This is where translating the problem starts, by either setting up an equation or drawing a chart or diagram.
Understand the Problem
Devise a Plan
Carry out the Plan
Look Back
To solve the given problem, it's time to implement the created equation from the previous step.
Understand the Problem
Devise a Plan
Carry out the Plan
Look Back
Which equation is correct? Evan wants a bike that costs Php 12 600 and a coat for Php 5 100. How much do the two cost?
Php 5 100 + B = Php 12 600
Php 12 600 - Php 5 100 = B
Php 12 600 + Php 5 100 = B
B + Php 12 600 = Php 5 100
Who is the Hungarian mathematician who devised a strategy in solving any word problem in Mathematics?
Isaac Newton
George Polya
Paul Erdos
John von Neumann
Alfonso counted the number of windows on the PBCom Tower at Ayala Avenue, and determined that the left and right portions of the building are sum of two consecutive integers, which is equal to 405. What is the larger number (or number of windows on the right portion)?
200
201
202
203
What problem solving strategy is best applied to solve this problem?
Make a systematic list
Use an equation
Look for a pattern
Work backwards
What problem solving strategy is best applied to solve this problem?
Work backwards
Make a systematic list
Look for a pattern
Process of elimination
You are at the yellow arrow, pointing in the direction indicated. How would you move to fill in the 2 black squares?
Straight, Turn right, Straight x 1, Fill Square, Straight x 2, Turn left, Straight x 1, Fill Square
Straight x 2, Turn right, Straight x 1, Fill Square, Straight x 2, Turn left, Straight x 1, Fill Square
Straight x 2, Turn right, Straight x 1, Fill Square, Straight x 2, Turn right, Straight x 1, Fill Square
Straight x 2, Turn right, Straight x 1, Fill Square, Straight x 2, Turn left, Straight x 2, Fill Square
854
865
955
964
37
47
141
235
A.$125 + $220 + $78 = $423
A.$220 - $125 + $78 = $173
A.$125 + $220 - $78 = $267
A.$220 - $125 - $78 = $17
103
96
686
480
930
147
163
237
152
88
93
122
$281
$353
$261
$445
106
96
69
79
40
454
98
207
Ellie practices piano less time than Anna because fourths are smaller than sixths.
Ana and Ellie practice the same amount of time because 3=3
Ana practice for less time than Ellie because sixths are smaller than fourths.
Ellie practices piano for less time than Ana because 4<6
144
6
40
9
15 r 5
15
16
105
If there are 8 people in a room and you shake hands with each of them, how many hands do you shake?
8!
8
7
9
If there are 8 people in a room and everyone shakes hands with everyone else, how many handshakes are there total?
7
8!
28
32
Jimmy builds a fence with fenceposts on the ends and fenceposts every one meter. If the fence is 20 meters long, how many fenceposts are there?
19
20
21
20!
Determine the sum of the numbers from 1 to 79
160
3240
3160
3200
Mason is building an artistic installation for a local museum that consists or stacking large concrete "bricks" on top of one another. The structure will will resemble a tower and will stand 500 "bricks" tall. There is an unlimited budget to move the bricks. If it takes one day to move a set of bricks onto another set, how many days will it take to stack all 500 bricks?
250
9
12
500
Shawn decorated 30 cookies - He put icing on every second cookie, sprinkles on every third cookie, a chocolate button on every fourth cookie and royal piping on every fifth cookie. There was nothing on the first cookie. How many OTHER cookies had no decoration?
8
5
6
7
Find the minimum "cost" to visit all of these locations in town.
33
34
38
40
P is the father of Q and R. S is R's mother. T is P's father. Which of the following statements cannot be definitely true ?
T is Q's father
Q is T's son
P is S's son
S is P's wife
Look at this series: 8, 6, 9, 23, 87 , 429, ... What number should come next?
2567
2654
429
226
Deepika tells Shraddha “Your mother’s father’s own son X is the husband of my sister.” How is Shraddha related to X ?
Aunt
Cousin
Uncle
Data inadequate
Each problem consists of three statements. Based on the first two statements, the third statement may be true, false, none, or uncertain.
a) Tanya is older than Eric.
b) Cliff is older than Tanya.
c) Eric is younger than Tokyo.
If the first two statements are true, the third statement is
true
false
uncertain
none
Jerry starts walking towards North from his house. After travelling 10 meters,
he turns left and walks 6 meters. He turns right and walks 26 meters and then he
turns right and walks 4 meters. Finally, he turns right and walks for 16 meters. How far is he from his house and in which direction?
26 East
22 North
26 West
22 South
In these series, you will be looking at both the letter pattern and the number
pattern. Fill the blank in the middle of the series or end of the series.
ALL, CMM, EOO, HSS, _____
LZZ
GRR
KTT
ISS
In these series, you will be looking at both the letter pattern and the number
pattern. Fill the blank in the middle of the series or end of the series.
DEF, DEF2, DE3F2, _____, D4E3F5
D4EF3
D4E2F3
D2E2F4
D4E3F2
If ROSE is coded as 6821, CHAIR is coded as 73456, and PREACH is coded as 961473, then what will be the code for SEARCH?
246173
214673
214763
216473
If X + Y means X is the daughter of Y
X - Y means X is the brother of Y
X% Y means X is the father of Y
X * Y means X is the sister of Y.
Which of the following means I is the niece of J?
J-N%C*l
I * C N %J
J + M* C % I
I*C+N-J
Study the following information carefully and answer the given questions.
In a certain code language,
'review exam analysis book is coded as 'ts ie mn as'
*current admit exam analysis' is coded as 'mn bn stie"
'current quiz analysis book' is coded as 'cd as mn bn
'review book image article' is coded as 'ts as yj yx'
What may be the code of 'quiz orange?
st ie
cd qw.
cd mn
ie bn
The average annual income of Ramesh and Suresh is Rs.3800. The average annual income of Suresh and Pratap was Rs. 4800. The average annual income of Pratap and Ramesh was Rs.5800, What is the average of the incomes of three?
3600
4600
4800
5200
On a School's annual day sweets were to be distributed amongst 112 children. But on that particular day, 32 children were absent. Thus, the remaining children got extra 6 sweets.
How many sweets did each child originally supposed to get?
25
15
45
30
Mary is walking towards South-East for 15 miles,
turns right and walks another 10 miles. She then turns 90° Clockwise and
walks 10 miles. Now, she again turns left and walks 30 miles. Which direction is she facing?
North-East
South-West
South-East
Cannot be determined
Eight GLA University students A, B, C, D, E, F, G and H are sitting around a circular table for playing a card game. Four of them A, B, E and F are not facing the center. D is third to the left of H, who is fourth to the right of E. A is third to the right of B, who is third to the left of D. F is second to the left of C.
Who among the following is the neighbor of F and C?
E
H
A
B
