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Post: Problem Solving, Mathematical Investigation and Modelling

Total questions: 50

Worksheet time: 2hrs 38mins

Name
Class
Date
1.

This algorithm solves a large problem by repeatedly breaking it down into smaller subproblems until they can be solved directly.

a)

Divide and Conquer Algorithm

b)

Brute Force Algorithm

c)

Backtracking Algorithm

d)

Greedy Algorithm

2.

Identifying which information or data is found in the problem before assigning variables is part of which step?

a)

Understand the Problem

b)

Devise a Plan

c)

Carry out the Plan

d)

Look Back

3.

This is where translating the problem starts, by either setting up an equation or drawing a chart or diagram.

a)

Understand the Problem

b)

Devise a Plan

c)

Carry out the Plan

d)

Look Back

4.

To solve the given problem, it's time to implement the created equation from the previous step.

a)

Understand the Problem

b)

Devise a Plan

c)

Carry out the Plan

d)

Look Back

5.

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?

a)

Php 5 100 + B = Php 12 600

b)

Php 12 600 - Php 5 100 = B

c)

Php 12 600 + Php 5 100 = B

d)

B + Php 12 600 = Php 5 100

6.

Who is the Hungarian mathematician who devised a strategy in solving any word problem in Mathematics?

a)

Isaac Newton

b)

George Polya

c)

Paul Erdos

d)

John von Neumann

7.

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)?

a)

200

b)

201

c)

202

d)

203

8.

What problem solving strategy is best applied to solve this problem?

a)

Make a systematic list

b)

Use an equation

c)

Look for a pattern

d)

Work backwards

9.

What problem solving strategy is best applied to solve this problem?

a)

Work backwards

b)

Make a systematic list

c)

Look for a pattern

d)

Process of elimination

10.

You are at the yellow arrow, pointing in the direction indicated. How would you move to fill in the 2 black squares?

a)

Straight, Turn right, Straight x 1, Fill Square, Straight x 2, Turn left, Straight x 1, Fill Square

b)

Straight x 2, Turn right, Straight x 1, Fill Square, Straight x 2, Turn left, Straight x 1, Fill Square

c)

Straight x 2, Turn right, Straight x 1, Fill Square, Straight x 2, Turn right, Straight x 1, Fill Square

d)

Straight x 2, Turn right, Straight x 1, Fill Square, Straight x 2, Turn left, Straight x 2, Fill Square

11.
Mr. Anderson picked 279 pounds of peaches from his trees the first week in July, 315 pounds the second week of July, and 370 pounds the third week of July. What is the total number of pounds he picked during the 3 weeks?
a)

854

b)

865

c)

955

d)

964

12.
Matthew has $188 in his bank account. He spent $29 on a new pair of shoes and $18 on a new shirt. How much did Matthew spend on the new shirt and new pair of shoes?
a)

37

b)

47

c)

141

d)

235

13.
Kathy had $125. She received $220 for her birthday. Later she spent $78 at Macy’s. Which equation can be used to find the amount of money Kathy has now?
a)

A.$125 + $220 + $78 = $423

b)

A.$220 - $125 + $78 = $173

c)

A.$125 + $220 - $78 = $267

d)

A.$220 - $125 - $78 = $17

14.
A daycare uses 96 diapers every day. How many diapers are used in 5 days?
a)

103

b)

96

c)

686

d)

480

15.
Josh went on three business trips last year.   - In April he traveled 278 miles.   - In July he traveled 652 miles.   - In December he traveled 767 miles. How many more miles did Josh travel in April and July combined, than he traveled in December?
a)

930

b)

147

c)

163

d)

237

16.
There are two different type of desserts at the bakery.- There are 5 rows that have 16 cupcakes in each row.- There are 72 sugar cookies.How many desserts are at the bakery?
a)

152

b)

88

c)

93

d)

122

17.
Holly started with $92 in her bank account. She put $189 into her account last week and another $164 this week. What is the total amount Holly now has in her bank account?
a)

$281

b)

$353

c)

$261

d)

$445

18.
Harris Elementary third graders were making fraction necklaces. They use 656 yellow beads, 725 green beads, 710 red beads, and 675 purple beads. How many more green than yellow beads did the third graders use?
a)

106

b)

96

c)

69

d)

79

19.
Melissa is reading a book that has 247 pages. Last week she read 149 pages of the book. On Saturday, she read 58 pages of the book. How many pages of the book does Melissa have left to read?
a)

40

b)

454

c)

98

d)

207

20.
Which of these is not true of a square?
a)
The figure is a quadrilateral.
b)
The figure is a rectangle.
c)
The opposite corners of the figure do not form square corners.
d)
The figure is a rhombus
21.
Ana and Ellie take piano lesson. Ana practices the piano for 3/6 hour each day. Ellie practices the piano 3/4 hour each day. Which is true?
a)

Ellie practices piano less time than Anna because fourths are smaller than sixths.

b)

Ana and Ellie practice the same amount of time because 3=3

c)

Ana practice for less time than Ellie because sixths are smaller than fourths.

d)

Ellie practices piano for less time than Ana because 4<6

22.
There are 36 students in the art club. 4 students will sit at each table. How many tables are needed?
a)

144

b)

6

c)

40

d)

9

23.
The sixth grade is taking a field trip.  They need to rent minivans to get there.  There are 125 people going.  Each minivan can only hold 8 people.  How many minivans does the school need to rent? 
a)

15 r 5

b)

15

c)

16

d)

105

24.
Sami, Joeli, Angel, and Eli bought 88 green slimy candy bars. They wanted to divide the candy evenly. How many candy bars would each kid get, and how many would be left over?
a)
Each kid would get 22 green slimy candy bars and none would be left over.
b)
Each kid would get 352 green slimy candy bars and none would be left over.
c)
Each kid would get 2 green slimy candy bars and 8  would be left over.
d)
Each kid would get 20 green slimy candy bars and 2 would be left over.
25.
Vanessa has a ribbon that is 372 inches long. She wants to divide in into 4 equal parts. What will be the length of each part?
a)
156 inches
b)
36 inches
c)
83 inches
d)
93 inches
26.
Lowery Road has 26 bus routes. Each bus can bring 71 students to school. How many students can the buses drive to school all together?
a)
1846
b)
216
c)
999
d)
2016
27.
There are 15 chapters in a book you are reading. Each chapter has 24 pages. How many pages are in your book?
a)
360
b)
240
c)
480
d)
320
28.
Sue bought 3 t-shirts for $8 each. She paid with a $50 bill. How much change should she get back? 
a)
$58
b)
$24
c)
$26
d)
$15
29.
A pet store sold 74 puppies in one week. If each of the puppies cost 60 dollars, how much money did the pet store make?
a)
$4,440
b)
$4,432
c)
$3,810
d)
$4,810
30.

If there are 8 people in a room and you shake hands with each of them, how many hands do you shake?

a)

8!

b)

8

c)

7

d)

9

31.

If there are 8 people in a room and everyone shakes hands with everyone else, how many handshakes are there total?

a)

7

b)

8!

c)

28

d)

32

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?

a)

19

b)

20

c)

21

d)

20!

33.

Determine the sum of the numbers from 1 to 79

a)

160

b)

3240

c)

3160

d)

3200

34.

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?

a)

250

b)

9

c)

12

d)

500

35.

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?

a)

8

b)

5

c)

6

d)

7

36.

Find the minimum "cost" to visit all of these locations in town.

a)

33

b)

34

c)

38

d)

40

37.

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 ?

a)

T is Q's father

b)

Q is T's son

c)

P is S's son

d)

S is P's wife

38.

Look at this series: 8, 6, 9, 23, 87 , 429, ... What number should come next?

a)

2567

b)

2654

c)

429

d)

226

39.

Deepika tells Shraddha “Your mother’s father’s own son X is the husband of my sister.” How is Shraddha related to X ?

a)

Aunt

b)

Cousin

c)

Uncle

d)

Data inadequate

40.

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

a)

true

b)

false

c)

uncertain

d)

none

41.

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?

a)

26 East

b)

22 North

c)

26 West

d)

22 South

42.

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, _____

a)

LZZ

b)

GRR

c)

KTT

d)

ISS

43.

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

a)

D4EF3

b)

D4E2F3

c)

D2E2F4

d)

D4E3F2

44.

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?

a)

246173

b)

214673

c)

214763

d)

216473

45.

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?

a)

J-N%C*l

b)

I * C N %J

c)

J + M* C % I

d)

I*C+N-J

46.

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?

a)

st ie

b)

cd qw.

c)

cd mn

d)

ie bn

47.

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?

a)

3600

b)

4600

c)

4800

d)

5200

48.

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?

a)

25

b)

15

c)

45

d)

30

49.

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?

a)

North-East

b)

South-West

c)

South-East

d)

Cannot be determined

50.

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?

a)

E

b)

H

c)

A

d)

B