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Test your basic knowledge |
SAT Math Subject Test 1 And 2
Start Test
Study First
Subjects
:
sat
,
math
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. Area of a trapezoid
Cone
A = h/2 (b1 + b2)
SA = 2pir^2 + 2pirh
Sphere's diameter is equal to diagonal of rectangle formed by cylinder's height and diameter (other words - diagonal of cylinder equals sphere's diameter)
2. Surface area of a cylinder
SA = 2pir^2 + 2pirh
1. two equal sides 2. two equal angles of those sides
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
A = h/2 (b1 + b2)
3. Sum of Angle formula (regular polygons)
Multiplication (product is same)
(n-2)180 (divide this by n to find individual angle measures)
A = 1/2bh
Prime number (2 is only even prime number - 1 and 0 are not prime)
4. 2 properties of regular polygon
1. all sides are same length 2. all angles are same size
V = (1/3)pir^2h
(4/3)pir^3
Sphere (same radii)
5. Cube or rectangular solid inscribed in a sphere
1. two equal sides 2. two equal angles of those sides
Long diagonal of solid is equal to diameter of sphere
Total = number of things x average
1. opposite angles in a parallelogram are equal 2. adjacent angles in a parallelogram are supplementary; they add up to 180 degrees (think transversal) 3. opposite sides in a parallelogram are of equal length 4. diagonals of a parallelogram bisect ea
6. What do you use to solve for indirect variation?
A = bh (h is hight from base to vertex and creating a right angle)
Or
Proportion (ratio is same)
Multiplication (product is same)
7. 4 Properties of a parallelogram
1. opposite angles in a parallelogram are equal 2. adjacent angles in a parallelogram are supplementary; they add up to 180 degrees (think transversal) 3. opposite sides in a parallelogram are of equal length 4. diagonals of a parallelogram bisect ea
SA = 2lw + 2hw + 2lh
C = 2pir (or C = pi x d)
A = bh (h is hight from base to vertex and creating a right angle)
8. Area of a triangle (geometry)
SA = 2lw + 2hw + 2lh
C = 2pir (or C = pi x d)
A = 1/2bh
1. distances from points of tangency will be equal on both sides 2. Angle created will be equal at circle's center 3. Will create right angles on both sides at point of tangency
9. (x-y)^2
1. opposite angles in a parallelogram are equal 2. adjacent angles in a parallelogram are supplementary; they add up to 180 degrees (think transversal) 3. opposite sides in a parallelogram are of equal length 4. diagonals of a parallelogram bisect ea
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
x^2 - 2xy + y^2
(degree/360) x pir^2
10. Sphere inscribed in a cylinder
x^2 - y^2
Inscribed angle will be half of arc (and therefore half of central angle)
Both solids have same diameter
V = lwh
11. a shape drawn around another shape with the tighets fit possible
Proportion (ratio is same)
Total = number of things x average
Circumscribed
Sum of the area of each face (no definite equation)
12. Surface area of a sphere
C = 2pir (or C = pi x d)
SA 4pir^2
SA = 2pir^2 + 2pirh
Proportion (ratio is same)
13. In an inequality - what conjunction is used with less than
SA = pirl + pir^2 (where l is slant of cone)
And
The angle is a right angle
SA 4pir^2
14. Long diagonal of a cylinder
V = s^3
D^2 = 4r^2 + h^2 (pythagorean theorem)
A = 1/2bh
Both solids have same diameter
15. Long diagonal of a rectangular solid
D^2 = a^2 + b^2 + c^2 (Super Pythagorean Theorem)
Sphere's diameter is equal to diagonal of rectangle formed by cylinder's height and diameter (other words - diagonal of cylinder equals sphere's diameter)
SA = pirl + pir^2 (where l is slant of cone)
V = (1/3)bh (where b is the area of the base figure)
16. In an inequality - what conjunction is used with greater than
Or
V= pir^2h
Original x (1 + rate)^number of changes
Long diagonal of solid is equal to diameter of sphere
17. Circumference of a circle
((amount change) / (original)) x 100
D^2 = 4r^2 + h^2 (pythagorean theorem)
C = 2pir (or C = pi x d)
A = 1/2bh
18. Average pie
Distance / rate
SA = 2pir^2 + 2pirh
1. two equal sides 2. two equal angles of those sides
Total = number of things x average
19. Three properties of tangent lines extending from a point to a circle
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20. Volume of a pyramid
Original x (1 + rate)^number of changes
Both solids have same diameter
D = sroot3
V = (1/3)bh (where b is the area of the base figure)
21. Percent decrease
SA = 2lw + 2hw + 2lh
Original x (1 - rate)^number of changes
A = absinx (where x is the angle between sides a and b)
Or
22. Sphere inscribed in a cube
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23. What two triangles compose a square?
Two sets of 45-45-90 right triangles (with side measures of x - x - and xroot2
F = sroot2
(degree/360) x 2pir
x^2 + 2xy + y^2
24. Surface area of a rectangular solid
SA 4pir^2
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
SA = 2lw + 2hw + 2lh
x^2 + 2xy + y^2
25. An integer that has exactly two distinct factors: itself and 1
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Prime number (2 is only even prime number - 1 and 0 are not prime)
Circumscribed
A = bh (h is hight from base to vertex and creating a right angle)
26. Area of a parallelogram (geometry)
A = bh (h is hight from base to vertex and creating a right angle)
(4/3)pir^3
(n-2)180 (divide this by n to find individual angle measures)
Both will be same fraction of circle (60 degrees = 1/6 of circle)
27. Isosceles triangle rotated around axis of symmetry
Sum of the area of each face (no definite equation)
Remainder (note all remainders are always integers)
Cone
1. opposite angles in a parallelogram are equal 2. adjacent angles in a parallelogram are supplementary; they add up to 180 degrees (think transversal) 3. opposite sides in a parallelogram are of equal length 4. diagonals of a parallelogram bisect ea
28. What do you use to solve for direct variation?
A = h/2 (b1 + b2)
Sum of the area of each face (no definite equation)
Prime number (2 is only even prime number - 1 and 0 are not prime)
Proportion (ratio is same)
29. Main property of a cone
Both will be same fraction of circle (60 degrees = 1/6 of circle)
A = 1/2absinx (where x is included angle of sides a and b)
Right angle formed from height radius and slant
Total = number of things x average
30. Volume of a cylinder
Total = number of things x average
SA = 2lw + 2hw + 2lh
V= pir^2h
Circumscribed
31. a shape that is in another shape - placed inside that shape with tightest fit possible
x^2 - 2xy + y^2
Or
1. each of the four interior angles measures 90 degrees 2. diagonals of a rectangle are of equal length
Inscribed
32. Two equations for Area of a square
Or
Cylinder
Diameter of sphere is equal to length of cube's side
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
33. Time =
Distance / rate
Original x (1 - rate)^number of changes
A = 1/2bh
Cylinder
34. Right triangle rotated around one leg
D^2 = 4r^2 + h^2 (pythagorean theorem)
(4/3)pir^3
Both solids have same diameter
Cone
35. Area of a parallelogram (trig)
SA = 2lw + 2hw + 2lh
A = absinx (where x is the angle between sides a and b)
V = lwh
Diameter of sphere is equal to length of cube's side
36. Relation between inscribed angle and minor arc
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
Cone
Sphere (same radii)
Inscribed angle will be half of arc (and therefore half of central angle)
37. Area of a sector
F = sroot2
Prime number (2 is only even prime number - 1 and 0 are not prime)
(degree/360) x pir^2
Diameter of sphere is equal to length of cube's side
38. length of an arc
A = bh (both sides of the rectangle)
(degree/360) x 2pir
SA = pirl + pir^2 (where l is slant of cone)
Sphere's diameter is equal to diagonal of rectangle formed by cylinder's height and diameter (other words - diagonal of cylinder equals sphere's diameter)
39. The integer left over after dividing two numbers
Remainder (note all remainders are always integers)
A = h/2 (b1 + b2)
(degree/360) x pir^2
Cone
40. One property any angle inscribed in a semi-cricle has
A = 1/2absinx (where x is included angle of sides a and b)
The angle is a right angle
Prime number (2 is only even prime number - 1 and 0 are not prime)
Both will be same fraction of circle (60 degrees = 1/6 of circle)
41. Surface area of a pyramid
Prime number (2 is only even prime number - 1 and 0 are not prime)
x^2 - y^2
Sum of the area of each face (no definite equation)
Original x (1 + rate)^number of changes
42. (x+y)(x-y)
x^2 - y^2
(n-2)180 (divide this by n to find individual angle measures)
Right angle formed from height radius and slant
x^2 + 2xy + y^2
43. Rectangle rotated around a central line or one side
Diameter of sphere is equal to length of cube's side
SA = 2pir^2 + 2pirh
Sphere's diameter is equal to diagonal of rectangle formed by cylinder's height and diameter (other words - diagonal of cylinder equals sphere's diameter)
Cylinder
44. What 2 properties does an isosceles triangle have?
1. two equal sides 2. two equal angles of those sides
Diameter of sphere is equal to length of cube's side
V= pir^2h
A = bh (both sides of the rectangle)
45. Volume of a cube
The angle is a right angle
A = bh (h is hight from base to vertex and creating a right angle)
Long diagonal of solid is equal to diameter of sphere
V = (1/3)pir^2h
46. Area of a circle
(4/3)pir^3
Cylinder
A= pir^2
SA = 6s^2
47. Percent increase
C = 2pir (or C = pi x d)
x^2 - 2xy + y^2
Original x (1 + rate)^number of changes
A = s^2 A = d^2/2 (where d is long diagonal 45 45 90 triangle)
48. Percent change
((amount change) / (original)) x 100
A = absinx (where x is the angle between sides a and b)
Distance / rate
(degree/360) x pir^2
49. (x+y)^2
x^2 - 2xy + y^2
SA = 6s^2
x^2 + 2xy + y^2
SA = 2lw + 2hw + 2lh
50. Cylinder inscribed in a sphere
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