[A3] Quizizz 10

The value of $\frac{2017\cdot2017-543\cdot543}{2560}$ is equal to

• 1447

• 1474

• 1574

• 1747

• 1774

 Given that$25×25+26×26+27×27+⋯+59×59+60×60=68910$  and $26×26+27×27+28×28+⋯+60×60+61×61=N.$  Which one of the following digits appears in the integer $N$ ? 

• 5

• 4

• 2

• 8

• 9

In the adjoining figure if $ABC$ is an equilateral triangle,  $ACDE$ is a square, and $AEFGH$ is an equilateral pentagon then the size of $\angle HAB$ is equal to

•  $96\degree$  

•  $98\degree$  

•  $100\degree$  

•  $102\degree$  

•  $104\degree$  

An isosceles triangle has two sides of length 25 and 60.

What is the length of the perimeter of this isosceles triangle?

• 110

• 130

• 145

• The correct answers are more than one of the choices (A)-(C

• The given information is not enough to determine.

Given that $ABCD$ is a trapezoid with the parallel sides $AB$ and $CD$ . The diagonals $\overline{AC}$ and $\overline{BD}$ intersect at point $E$ . If the areas of the triangles $ABE$ and $ADE$ are 25 and 20 respectively, then the area of the trapezoid $ABCD$ is

• 72

• 80

• 81

• 84

• 90

Observe that 15 and 24 can be written as the sum of three consecutive positive integers which are 15 = 4 + 5 + 6 and 24 = 7 + 8 + 9 respectively.

How many numbers of the following numbers 38, 44, 52, 64, and 76 that can also be written as the sum of three consecutive positive integers?

• 0

• 1

• 2

• 3

• 4

As shown in figure below, let the area of square $ABCD$ be 124 and the area of quadrilateral $EFGH$ be 16. Find the sum of the areas of the two shaded regions.

• 45

• 46

• 47

• 48

The figure below is composed of 5 rectangles and 4 identical sized fans with the indicated dimensions. Find the total area of shaded regions. (use 3.14 for $\pi$ )

• 15.28

• 24.28

• 30.56

• 34

How many triangles are in the figure below

• 56

• 70

• 84

• 96

In the adjoining figure, a circle inscribes in right triangle $WMC$ and is internally tangent to side $MC$ at $T$ . If $\angle CWM=90\degree$ , $MT=20$ , and $TC=17$ , then find the area of the triangle $WMC$ .

• 340

• 170

• 510

• 680