Math in Action 2013-2014
SOLUTIONS
1.
John was making squares and rectangles using the same size sticks. He wanted to make each
figure using 12 sticks (without breaking any sticks). In which figure did he make a mistake?
Answer:
C
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2.
Tom is 2 inches taller than Peter, and 5 inches taller than Paul. How many inches taller is Peter
than Paul?
Answer:
3 inches
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A
3.
Answer:
A
______________
B
Start
C
Finish
Look at the picture above. Which path is the longest? Path A, B, or C?
4.
The side of a square is 2 units. If 2 squares are used to form a
rectangle, as shown to the right, what is the length of the long side
of the rectangle?
Answer:
4 units
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5.
How many squares were removed from the figure below?
Answer:
14
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6.
There are 9 lampposts on one side of the path in the park. The distance between each
lamppost is 8 meters. George jumped all the way from the first lamppost to the last one. How
many meters has he jumped?
Answer:
64 m
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7.
Vanda cut a paper square with a perimeter of 20 cm into two rectangles. The perimeter of
one of the rectangles was 16 cm. What was the perimeter of the second rectangle?
Answer:
14 cm
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8.
John has a chocolate bar consisting of square pieces 1 cm x 1 cm in
size. He has already eaten some of the corner pieces (see the picture).
How many pieces does John have left?
Answer:
60
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9.
Grandpa has a 10 m x 20 m lawn. One of the shorter sides of the lawn is adjacent to grandpa’s
house. Grandpa decided to put a fence around the remaining three sides of the lawn and to
paint the fence. Painting 5 m of the fence uses one-half of a two-gallon can of paint. A can of
paint costs $40. How much will Grandpa pay for the paint needed to paint the whole fence?
Answer:
$200
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Math in Action 2013-2014
10. Four crows are sitting on a fence. Their names are Dana, Hanna, Lena, and Bennie. Dana sits
exactly in the middle between Hana and Lena. The distance between Hana and Dana is the
same as the distance between Lena and Bennie. Dana sits 4 feet away from Bennie. How far is
Hanna sitting from Bennie?
Answer:
6 ft.
11. Sam had a 15 cm by 9 cm paper rectangle. He cut out four identical squares from each corner
of the rectangle. The perimeter of each square was 8 cm. What was the perimeter of the
remaining figure?
Answer:
48 cm
12. A square garden was divided into four parts: pool (P), flowerbed (F), lawn
(L), and sandbox (S) as shown in the picture. The lawn and flowerbed are
squares. The perimeter of the lawn is 20 m, and the perimeter of the
flowerbed is 12 m. What is the perimeter of the pool?
Answer:
16 m
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13. A blackboard is 6 m wide. The width of the middle
part is 3 m. The two other parts have equal widths.
How wide is the right-hand part?
Answer:
1.5 m
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14. In the figure, ABCD is a rectangle; E is the midpoint of AB; F is
the midpoint of BC. What is the ratio of the area of the
triangle AEF to the area of the rectangle ABCD?
Answer:
_______________
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1/8 or 1:8
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Area of triangle AEF = area of triangle EFB
15. Both figures on the right are formed from the same five
pieces. One of the pieces is a rectangle with a length of 10
cm and a width of 5 cm, and the other pieces are quarters
of two different sized circles. What is the difference
between the perimeters of the two figures?
You don’t need to use formulas to arrive at the solution. Look at which lines measure 10 cm and which
lines measure 5 cm.
Answer:
20 cm
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