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MATHEMATICAL CHALLENGE FOR FILIPINO KIDS TRAINING PROGRAM  LEVEL 3 – QUIZ # 1 ( Answer Key )

1. The figure below is formed by placing the corner of each square at the center of another of another identical

square. The perimeter of each square is 64 cm. Find the area of the figure made up of the overlappedsquares.

Solution:

ength of 1 side of square → 64 ÷ 4 ! 16 cm

ength of 1 side of the small square → 16 ÷ " ! #$rea of 1 small square # × # ! 64 cm"

$rea of the figure → 64 × 1% ! 64% cm"

The area of the figure is 64% cm".

". The following figure is made of quadrants and semicircles drawn inside a square. Find the total shaded area.

&ive your correct answer to the nearest whole number.

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1"cm

1"cm

1"cm1"cm

Solution:

$rea of quadrant

"11" 1" 11'.1

4cmπ  = × × × =

(correct to 1 decimal place)

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$rea of semicircle

"16 6 *6.*

"cmπ  = × × × =

(correct to 1 decimal place)

Total shaded area ! 11'.1 × " + (11'.1 , *6.*) × "

! ''- cm". (correct to nearest whole number)

'. The diagram below shows a cube of edge - cm. $ smaller cube of edge ' cm is removed from one of itscorners as shown. Find the surface area of the remaining bloc.

'cm

'cm   'cm

-cm

-cm

-cm

 Solution:

Surface area of normal face ! - × - ! #1 cm"

 /ote that even when the smaller cube is removed0 it does not affect the surface area of the faces.

Total surface area of remaining bloc ! #1 × 6 ! 4#6 cm".

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MATHEMATICAL CHALLENGE FOR FILIPINO KIDS TRAINING PROGRAM  LEVEL 3 – QUIZ # 1

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1. The figure below is formed by placing the corner of each square at the center of another of another identicalsquare. The perimeter of each square is 64 cm. Find the area of the figure made up of the overlapped

squares.

". The following figure is made of quadrants and semicircles drawn inside a square. Find the total shaded area.

&ive your correct answer to the nearest whole number.

7/25/2019 Level 3 (Quiz 1)

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1"cm

1"cm

1"cm1"cm

7/25/2019 Level 3 (Quiz 1)

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'. The diagram below shows a cube of edge - cm. $ smaller cube of edge ' cm is removed from one of its

corners as shown. Find the surface area of the remaining bloc.

'cm

'cm 'cm

-cm

-cm

-cm

 

repared by:

 /2T3: $ll publications are protected by copyright. t is unlawful to mae copies without the prior written permission of the 5athematics Trainers &uild0 hilippines.