This document contains 25 multiple choice questions testing mathematical and geometric concepts. The questions cover a range of topics including rational and irrational numbers, operations, percentages, measurements, shapes, and word problems. For each question there are 4 possible answers labeled A-D, and one correct answer is identified.
What is the missing reason in the proof Given with diagonal .docxalanfhall8953
What is the missing reason in the proof?
Given: with diagonal
Prove:
Statements
Reasons
1.
1. Definition of parallelogram
2.
2. Alternate Interior Angles Theorem
3.
3. Definition of parallelogram
4.
4. Alternate Interior Angles Theorem
5.
5. ?
6.
6. ASA
A. Reflexive Property of Congruence
B. Alternate Interior Angles Theorem
C. ASA
D. Definition of parallelogram
Find the values of a and b. The diagram is not to scale.
A.
B.
C.
D.
Complete this statement: A polygon with all sides the same length is said to be ____.
A. regular
B. equilateral
C. equiangular
D. convex
Which statement is true?
A. All squares are rectangles.
B. All quadrilaterals are rectangles.
C. All parallelograms are rectangles.
D. All rectangles are squares.
What is LM?
A. 176
B. 98
C. 88
D. 32
Which description does NOT guarantee that a trapezoid is isosceles?
A. congruent bases
B. congruent legs
C. both pairs of base angles congruent
D. congruent diagonals
Which description does NOT guarantee that a quadrilateral is a square?
A. has all sides congruent and all angles congruent
B. is a parallelogram with perpendicular diagonals
C. has all right angles and has all sides congruent
D. is both a rectangle and a rhombus
Which statement can you use to conclude that quadrilateral XYZW is a parallelogram?
A.
B.
C.
D.
and Find
The diagram is not to scale.
A. 60
B. 10
C. 110
D. 20
WXYZ is a parallelogram. Name an angle congruent to
A.
B.
C.
D.
The Polygon Angle-Sum Theorem states: The sum of the measures of the angles of an n-gon is ____.
A.
B.
C.
D.
Which Venn diagram is NOT correct?
A.
B.
C.
D.
Classify the figure in as many ways as possible.
A. rectangle, square, quadrilateral, parallelogram, rhombus
B. rectangle, square, parallelogram
C. rhombus, quadrilateral, square
D. square, rectangle, quadrilateral
In the rhombus, Angle 1 = 140. What are Angles 2 and 3?
The diagram is not to scale.
A. Angle 2 = 40 and Angle 3 = 70
B. Angle 2 = 140 and Angle 3 = 70
C. Angle 2 = 40 and Angle 3 = 20
D. Angle 2 = 140 and Angle 3 = 20
Use less than, equal to, or greater than to complete this statement: The sum of the measures of the exterior angles of a regular 9-gon, one at each vertex, is ____ the sum of the measures of the exterior angles of a regular 6-gon, one at each vertex.
A. cannot tell
B. less than
C. greater than
D. equal to
Lucinda wants to build a square sandbox, but she has no way of measuring angles. Explain how she can make sure that the sandbox is square by only measuring length.
A. Arrange four equal-length sides so the diagonals bisect each other.
B. Arrange four equal-length sides so the diagonals are equal lengths also.
C. Make each diagonal the same length as four equal-length sides.
D. Not possible; Lucinda has to be able to measure a right angle.
Whi.
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CLASS VIII SLATE MATHS WITH KEY
1. 1. Which of the following is the next rational number to zero on the number line?
A.
B.
C. 1
D. Can’t be determined
Correct Answer : D
2. Which group of real numbers does NOT contain the number 1?
A. Integers
B. Irrational number
C. Rational Number
D. Whole number
Correct Answer : B
3. Multiplicative inverse of
A.
B.
C.
D.
Correct Answer : C
2. 4. Nived, Suman and Laxman are standing in a line. Neha’s height is 6/5 of Suman’s height. Suman’s
height is 5/8 of Laxman’s height. If Laxman’s height is 160 cm. What is Nived’s height?
A. 100 cm
B. 120 cm
C. 192 cm
D. 256 cm
Correct Answer : B
5. Which of these numbers is the smallest?
A.
B.
C.
D.
Correct Answer : A
6. How many natural numbers lie between
A. 30
B. 31
C. 32
D. 240
Correct Answer : A
3. 7. If x is a rational number lies between 0 and 1, which of the following statements is correct?
A.
B.
C.
D.
Correct Answer : B
8. Which of the following is the greatest 6-digit number that is exactly divisible by 2, 3 and 7?
A. 999998
B. 999999
C. 999996
D. 999978
Correct Answer : D
9. Which of the following is the simplified form of |?24| ÷ 6 ?|?2| ?5 x 4 + 3?
A. -15
B. -23
C. -14
D. -20
Correct Answer : A
10. Which operation should be performed first to simplify the following?
A. Subtract 6 from 22
B. Divide 6 by 2
C. Find cube of 2
D. Multiply 2 with 3
Correct Answer : C
4. 11. What are the values of A and B in the given number statement?
A. A = 10 and B =7
B. A = 9 and B =7
C. A = 9 and B =6
D. A = 10 and B =3
Correct Answer : C
12. The product of two 2-digit numbers is 195. The product of their ones digits is 15 and that of
their tens digits is 1. What are the numbers?
A. 13 and 15
B. 65 and 03
C. 39 and 05
D. 31 and 51
Correct Answer : A
13. Which of the following is a perfect square?
A. 1
B. 5
C. 15
D. 50
Correct Answer : A
14. The melting point of hydrogen is -259 degree C and the melting point of oxygen is -218 degree
C. How much more is the melting point of oxygen than the melting point of hydrogen?
A. -41 degree C
B. 41 degree C
C. -477 degree C
D. 477 degree C
Correct Answer : B
5. 15. Which of the following list is in the order of smallest to largest?
A.
B.
C.
D.
Correct Answer : C
16. The cost of one shirt and one jeans is Rs 850 and Rs 1400 in a shop respectively. Ankit bought 5
jeans and 8 shirts from the shop. How much money did he pay to the shopkeeper?
A. Rs 13,800
B. Rs 15,450
C. Rs 29,250
D. Rs 90,000
Correct Answer : A
17. Which of the following is the simplified form of following?
A. 85
B. 105
C. 115
D. 123
Correct Answer : C
6. 18. Ahmad mixed different amount of honey in water to make energizing drink. Which final mixture
has the highest percentage of honey in water?
A. 400 mL honey mixed with 600 mL water
B. 400 mL honey mixed with 400 mL water
C. 300 mL honey mixed with 600 mL water
D. 300 mL honey mixed with 400 mL water
Correct Answer : B
19. What is the total surface area of the solid shown below?
A.
B.
C.
D.
Correct Answer : C
20. What is the area of the rectangle given below if the area of each circle is 154 m2?
A.
B.
C.
D.
8. 21. Three identical cubes are joined side by side. If the total surface area of the cube is 96 ft2, what
is the total surface area of the formed cuboid?
A.
B.
C.
D.
Correct Answer : B
22. In a village, there is a 25 m high cylindrical water tank with capacity of 3850 m3. Due to increase
in population, there is need to increase the tank capacity to 4 times the current capacity. What would
be the radius of the new cylindrical tank if the height remains the same?
A. 7 m
B. 14 m
C. 25 m
D. 28 m
Correct Answer : B
23. Meena rolled a rectangular sheet of length 44 cm and breadth 10 cm along its breadth to form
a cylinder. What is the external surface area of the formed cylinder?
A. 440 cm
B. 220 cm
C. 154 cm
D. 77 cm
Correct Answer : A
9. 24. Given below are three different views of a solid figure made of different coloured cube.
Which of the following could be the solid figure?
A.
B.
C.
D.
Correct Answer : A
25. One of the parallel sides of a trapezium is longer than the other by 4 cm. Area of the trapezium
is 100 cm2 and its height is 10 cm. What are the lengths of the two parallel sides?
A. 0.5 cm and 4.5 cm
B. 3 cm and 7 cm
C. 8 cm and 12 cm
D. 16 cm and 20 cm
Correct Answer : C
