Idiot\'s Guides Basic Math and Pre-Algebra

292 Part 5: Practice

Find the measurement.

84. In rhombus BDJK, BD = 12 cm. In parallelogram JKGI, GI = _____ cm.


85. Find the area of a parallelogram with a base of 12 inches and a height of 5 inches.


86. ABCD is a trapezoid with BC AD. If m’A = 58r, find m’B.


87. In trapezoid ABCD with BC AD, M is the midpoint of AB and N is the midpoint of CD.
    BC = 29 cm and AD = 41 cm. Find the length of MN.


88. PQRS is a trapezoid with QR PS and PQ RS If m’Q = 119r, find m’S.


89. Find the area of a trapezoid with height of 15 cm and bases 24 cm and 18 cm.


90. The area of a trapezoid is 375 cm^2 , and the median is 15 cm long. Find the height.


91. Arc AB measures 76r, and ’APB has its vertex at point P on the circle. Find m’APB.


92. Tangent PQ and tangent PR touch circle O at Q and R and intercept arcs of 59r and 301r.
    Find m’QPR.


93. Chord MN intersects chord ST at point X inside circle O. Arc MS measures 24r and arc NT
    measures 52r. Find m’MXS.


94. Find the circumference of a circle with radius 7 cm.


95. Find the area of a circle with diameter 24 cm.

Find the surface area of each of the figures described.

96. A square pyramid with side 8 cm and slant height 5 cm.


97. A triangular prism 11 cm high, with bases that are right triangles with legs 18 cm and 24 cm and
    hypotenuse 30 cm.


98. A cylinder with radius 15 inches and height 22 inches.


99. A cone with radius 5 inches, height 12 inches, and slant height 13 inches.


100. A sphere with a radius of 18 cm.

Find the volume of each of the figures described.

101. A rectangular prism with length 8 inches, width 5 inches, and height 14 inches.


102. A triangular pyramid 42 cm high with a base that is an equilateral triangle 26 cm on each edge,
     with an altitude of 22.5 cm.


103. A cylinder with a diameter of 20 cm and a height of 48 cm.


104. A cone with a radius of 50 inches and a height of 45 inches.


105. A sphere with a diameter of 60 cm.