Solution:Step 1: Sketch the two circles touching at one point.Step 2: The furthest that A and B can be would be at the two ends as shown in theabove diagram.Step 3: If the radius is 6 then the diameter is 2 × 6 = 12 and the distance from A toB would be 2 × 12 = 24Answer: (E) 24Question 4A right circular cylinder has a radius of 3 and a height of 5. Which of the following dimensions of a rectangular solid will have a volume closest to the cylinder.(A)(B)(C)(D)(E)4, 5, 54, 5, 65, 5, 55, 5, 65, 6, 6. Solution:Step 1: Write down formula for volume of cylinderV = πr 2 hStep 2: Plug in the valuesV = π × 3 2 × 5 = 45 πV = 45 × 3.142 = 141.39Step 3: We now have to test the volume of each of the rectangular solids to findout which is the closest to 141.39(A) 4 × 5 × 5 = 100(B) 4 × 5 × 6 = 120(C) 5 × 5 × 5 = 125(D) 5 × 5 × 6 = 150(E) 5 × 6 × 6 = 180Answer: (D) 5, 5, 6Question 5Note: Figures not drawn to scaleIn the figures above, x = 60. How much more is the perimeter of triangle ABC compared with the triangle DEF.(A)(B)(C)(D)(E)02468. Solution:Note: Figures not drawn to scaleStep 1: Since x = 60°, triangle ABC is an equilateral triangle with sides all equal.The sides are all equal to 8.Perimeter of triangle ABC = 8 + 8 + 8 = 24.Step 2: Triangle DEF has two angles equal, so it must be an isosceles triangle.The two equal sides will be opposite the equal angles.So, the length of DF = length of DE = 10.Perimeter of triangle DEF = 10 + 10 + 4 = 24.Step 3: Subtract the two perimeters.24 – 24 = 0Answer to Question 5: (A) 0.
SAT Practice Questions - Geometry:.
Coordinate Geometry. foundation questions about x and y-axes etc. foundation/ pre-assessment questions. based on coordinates shown on 0 to +10 grid( 1 of 10).
based on coordinates shown on 0 to +10 grid( 2 of 10). for coordinates shown on a 0 to +10 grid (3 of 10). for coordinates shown on a 0 to +10 grid (4 of 10).
from coordinates shown on -10 to +10 grid( 5 of 10). from coordinates shown on -10 to +10 grid( 6 of 10). for coordinates shown on a -10 to +10 grid( 7 of 10). for coordinates shown on a -10 to +10 grid( 8 of 10). from linear equations e.g. Y = 2x- 6 ( 9 of 10). from linear equations e.g.
Act Geometry Problems Pdf
Y = 2x- 6 ( 10 of 10).:creating and plotting ordered pairs.:creating and plotting ordered pairs.:3-page with triangles and quadrilaterals.:4-pages with x-y coordinates.