# Study Package- Word Problem Solving ```Quiz #1
All of these questions had been completed as a
group in class.
Please review all questions, especially those that
were incorrect.
Q1
Total # of chairs= 10
Total # of people= 4
Chairs:People = 10:4
10/2= 5
4/2=2
Simplified, the ratio 10:4 can be rewritten as 5:2
Q2
The last number that Bobbie generated was 33
33x2= 66
66+3= 69
69 is the next number.
69x2= 138
138+3= 141
The next two numbers are 69 and 141
Q3
Remember, any percentage is a
Fraction out of 100
Draw lines on the diagram to figure
out how many squares are on the
diagram in total.
There are 25 small squares in total.
Then count the number of blue
squares. There are 12 blue squares.
12/25 squares are blue.
12/25=0.48
0.48x100%=48%
Q4
First find the total volume of the
Box
Formula for volume= LxWxH
Volume of the box=
=31x45x29
=40455cm^3
Then find the total volume of
The paper package:
LxWxH
=22x28x6
= 3696cm^3
Now divide the volume of the
Box by the volume of the
Paper packages
40455/3696= 10.9
You can’t have 0.9 of a package,
So round down to 10.
Q5
Left Side
Right Side
N+N
=2n
8 blocks, each is 1
gram
8x1gram
= 8 grams
2n=8 grams
Divide both sides by 2
n=4 grams
Q6
Large gear rotates 2 times for
every 3 rotations of the small gear
Large gear: small gear
= 2:3
=2/3
Large gear rotated 36 times.
Flip the ratio ⅔ to make 3/2
because we need to solve for the
small gear (put the small gear on
top- which is 3 rotations)
36x(3/2)= 54
Small gear rotated 54 times.
TOTAL rotations
36+54= 90
Q7
-4 is greater than -5
-6 is not close to -12
-10 is close to -12 and less than -5
-14 is not greater than -12
Q8
Item
Quantity
Price
Total Paid
Juice
1x
\$1.25
\$1.25
Gum
1x
\$0.55
\$0.55
Sours
3x
\$0.05
\$0.15
Total paid before muffin:
1.25+0.55+0.15
=\$1.95
Total spent= \$3.65
Total paid before muffins=
\$1.95
3.65-1.95= 1.7 = cost of
TWO muffins
1.7/2= \$0.85
EACH muffin costs \$0.85.
Q9
\$10x(&frac12;) or half of \$10= \$5
Divide total cost of camera by her weekly savings
\$196/5= 39.2 weeks
We must round up to 40 weeks because she won’t have all the money
until the 39th week has passed.
Q10
Remember, a cube will
ALWAYS have the greatest
Volume!
LxWxH= Volume
4x4x4= 64
Q11
Look at the
relationship with x
and y.
When x=1, y=3.
Guess and check
using the
formulas.
y=2x+1
Plug in x and y
values of the
same column.
3=2(1)+1
3=3
That is correct!
Q12
Guess and check
2x3=6
4x3=12
So the unknown must be 3
3x3=9
Q13
Draw it out. Cross off
The 3 whole sandwiches
That are eaten.
Then cross off the &frac14; of a
Sandwich.
There are two and &frac34;
Sandwiches left.
Q14
They charge 60/hour
So for 3 hours, 3x60=\$180
They charge \$10/person
So for 35 people, 10x35= \$350
To get the TOTAL cost, we need to
Q15
child an extra 1.25/hour is charged.
That means the first child is only
\$5/hour
If there are 4 children, that means
CHILDREN to add to the base fee of
\$5
So \$5 + 3(\$1.25)
=\$8.75/ hour
\$8.75 x 6hours= \$52.50
Q16
If the purple card is
folded along the dotted
line, the new
dimensions are
24cm x 11.5 cm
(23/2=11.5)
There are two
envelopes that would fit
this card inside without
bending it, that is
because their smallest
dimension is still bigger
than 11.5cm.
They are 12cm and
14cm, which are both
bigger than 11.5 cm.
Q17
Rearrange the blue slices.
They will make one complete circle,
And leave ⅖ leftover
Therefore A is the correct answer.
Q18
Josh starts with 30 cards
He keeps 10
30-10= 20 cards left
He gives 5 to his sister
20-5= 15 cards left
He divides them up between 5 friends
15/5= 3
Each friend got 3 cards.
Q19
Volume= LxWxH
Fill in for what you know
We know the length of the
juicebox is 5
We know the width of the
box is 4
We know the total volume
is 200
200=Hx4x5
200=20H
Divide both sides by 20
10=H
Q20
AFTER the first draw,
there are 7 boys names
left
And 4 girls names left
In total, there are 11
names left.
7/11 is the probability a
boy’s name will be drawn
next. (as 7 is the number
of boys leftover and 11 is
the total number of kids
left over)