16-17 entrance exam for grade 7 going to 8

Transcription

1 Page 1 of entrance eam for grade 7 going to , = 4, , = 5, = = ,200 2,461 = 2, = = = , = = = = = 7,890

2 Page 2 of = 5, = 876, = 23, (10 4) = (1 + 6) (10 4) = (7 + 5) = (16 2) = (2 2) = (10 2) = = (10 5) = Simplify: Simplify: Evaluate: 5 ( ) = Evaluate 3(3 2 +2) = 33

3 Page 3 of [10 (6 4) 3] = [10 (7 5) 3] = Evaluate: 5 (9 6) 2 = Evaluate: 4 (8 4) 2 = The prime numbers included between 40 and 50 are: 41,43,, Give all the factors of 20. 1,2,4,5,10, Which of the following is a multiple of 6? 6, 12, 13, 24 (6,12 and 24) 38. In the fraction 8, the numerator is In the fraction 7, the denominator is = = = or

4 Page 4 of = = = = = = = = 57.04

5 Page 5 of = = = = , = = = = , ,000 = = Name the verte of I- SIA = I II- B = B III- ISA = S 70. Complete the following: angles are measured in degrees.

6 Page 6 of PQT is obtuse angle. 72. An angle whose measure is 35 is acute angle An angle whose measure is 115 is An angle whose measure is 90 is obtuse angle right angle 73. SQR is acute angle. 74. Given the triangle ABO with m A = 15, m B = 82 and m O = 83 then triangle ABO must be acute triangle. 75. Given triangle SFG with m S = 35, m F = 55 and m G = 90 then triangle SFG must be right triangle. 76. Give the name of each of the polygons drawn below. Figure 1 Figure 2 Figure 3 Figure 4 Triangle pentagon octagon quadrilateral

7 Page 7 of In a ABC, if AB BC and BC AC, then the triangle must be scalene triangle. 78. Given triangle TUV with m T = 35, m U = 50 and m V = 95 then triangle TUV must be obtuse triangle. 79. In a ABC, if AB = BC, then the triangle must be isosceles triangle. 80. The sum of the measures of the interior angles of a quadrilateral is The sum of the measures of the interior angles of a triangle is a = a m R = 40 o Q 6 P 8 4 R

8 84. Find the sum of the measures of the interior angles of a conve polygon with 7 sides. 900 o Page 8 of What is the sum of the measures of the interior angles of a polygon with 8 sides? = 1,080 o 86. A triangle has a base of length 20 cm and a corresponding height of length 40 cm. Find its area. 400 cm What is the area of a triangle with height 5 cm and base 6 cm. 15 cm Fill in the blank. GivenABCD is a parallelogram. A b B a h a D b C If a = 4 cm, b = 5 cm, and h = 3 cm, then the area of ABCD is _15 cm Find the area of a circle of radius 5 cm. = 25π cm Find the area of a circle of radius 10 m. = 100π m Find the perimeter of a rectangle whose length and width are 18 cm and 4 cm respectively. = 44 cm 92. find the area of a rectangle whose length is 18 cm and width is 12 cm. = 216 cm 2

9 Page 9 of Find the perimeter of a square of side 12 cm. = 48 cm 94. A right prism of height 12 cm has, as its cross section, a square of side 8 cm. Calculate its volume. = 768 cm If a large rectangular room has length 9 m, width 8 m and volume 360 m 3, what is its height? = 5 m 96. What is the volume of a cube of side a cm? a 3 cm A right prism of length 12 cm has as its cross section a square of side 8 cm. Find its total surface area. = 512 cm 2 98.Find the surface area of a cube of side 12 cm is.. = 864 cm Refer to the line plot below Height, in inches, of 1-Year- Old Pine Trees How many 1-year-old pine trees are 33 inches? = 3

10 100. The plot shown below for the heights of 12 1-year old pine trees is called a line plot. Page 10 of Height, in inches, of 1-Year Old Pine Trees 101. Find the median of the data points given below. 3, 8, 5, 12, 9, 2, 7, 10, 13, 15, 19 = Find the median of the data points given below. 5, 8, 4, 2, 6, 9, 11, 13, 15, 17, 19 = Find the median of the data points given below. = 21 17, 18, 18, 19, 21, 21, 25, 25, Given a and b are the respective means of the sets of numbers: 3, 1, 5, 1, 5, and 3, 6, 5, 6, 5, 4, 5, 3, 4, 4.Find a and b. a= 3 9 b= Given a and b are the respective means of the sets of numbers: 3, 1, 4, 9, 3; and 6, 4, 7, 4, 5, 1, 5, 3, 1, 4.Find a and b. a= 4 b= A coin is tossed. What is the probability of tossing either heads or tails? A 6-sided number cube with faces numbered 1 through 6 is rolled. What is the probability of rolling a 3?

11 Page 11 of A bo contains seven mint, eight lemon and twelve strawberry flavored sweets. A sweet is to be chosen at random from the bo. The probability of drawing a lemon flavor sweet is? A bo contains 2 red, 3 yellow and 5 green sweets. If from this bo one sweet is chosen at random, what is the probability that it is a green sweet? 1 2