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Twelfth Grade (Grade 12) Math Questions

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Grade 12 Functions CCSS: HSF-TF.A.3
What is the value of sine [math] (3pi/2)[/math]?
  1. [math]-1[/math]
  2. [math]sqrt2/2[/math]
  3. [math]1[/math]
  4. [math]1/2[/math]
Grade 12 Complex Numbers CCSS: HSN-CN.C.8
Factor [math]x^2+16[/math]
  1. [math]sqrt16i[/math]
  2. [math](x-4i)(x+4i)[/math]
  3. [math]+-sqrt4[/math]
  4. [math](x+2i)(x-2i)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSF-IF.C.7c
On [math]f(x)=2x^5+x^3-3x[/math]
  1. [math](-0.65,1.4)[/math] is a relative and absolute maximum.
  2. [math](0.65,-1.4)[/math] is a relative and absolute minimum.
  3. [math](-0.65,1.4)[/math] is a relative maximum.
  4. [math](0.65,-1.4)[/math] is a relative minimum.
  5. Both A and B.
  6. Both C and D.
  7. None of the above.
Grade 12 Inequalities
Write in interval notation: [math]-5ltxleq4[/math]
  1. [math][-5,4][/math]
  2. [math](-5,4)[/math]
  3. [math][-5,4)[/math]
  4. [math](-5,4][/math]
Grade 12 Matrices CCSS: HSN-VM.C.6
Which matrix represents the system of equations [math]2x=8[/math] and [math]6=3y+x[/math]
  1. [math][[2,8,0],[6,3,1]][/math]
  2. [math][[8,2,0],[6,3,1]][/math]
  3. [math][[0,2,8],[6,3,1]][/math]
  4. [math][[2,0,8],[1,3,6]][/math]
Grade 12 Complex Numbers CCSS: HSN-CN.B.5
[math](6+5i)-(-2+i)[/math]
  1. [math]4+4i[/math]
  2. [math]8+4i[/math]
  3. [math]10i[/math]
  4. [math]12i[/math]
Grade 12 Circles CCSS: HSG-GPE.A.1
What is the equation for a circle with center [math](2,5)[/math] and radius of 5?
  1. [math](x+2)^2+(y+5)^2=25[/math]
  2. [math](x-2)^2+(y-5)^2=5[/math]
  3. [math](x+2)^2+(y+5)^2=5[/math]
  4. [math](x-2)^2+(y-5)^2=25[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math]1/(x^2-5x)+x/(x-5)=[/math]
  1. [math](x^2+1)/(x(x-5))[/math]
  2. [math](x+1)/(x-5)[/math]
  3. [math](x-1)/(x-5)[/math]
Grade 12 Complex Numbers CCSS: HSN-CN.A.2
[math](4i)^2[/math]
  1. [math]16i[/math]
  2. [math]4[/math]
  3. [math]16[/math]
  4. [math]8i[/math]
Grade 12 Complex Numbers CCSS: HSN-CN.C.8
Factor [math]x^2+12[/math]
  1. [math]2sqrt3i[/math]
  2. [math](x-4i)(x+4i)[/math]
  3. [math]+-sqrt12[/math]
  4. [math](x+2sqrt3i)(x-2sqrt3i)[/math]
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [math][[2,9,8],[0,3,4],[1,11,3]][/math] is multiplied by the scalar [math]5[/math], what is the result?
  1. [math][[7,14,13],[5,8,9],[6,16,8]][/math]
  2. [math][[10,45,40],[0,15,20],[5,55,15]][/math]
  3. [math][[3,4,1],[11,3,2],[9,8,0]][/math]
  4. [math][[10,0,5],[45,15,55],[40,20,15]][/math]
Grade 12 Circles CCSS: HSG-GPE.A.1
What is the equation for a circle with center [math](2,-2)[/math] and radius of 2?
  1. [math](x-2)^2+(y+2)^2=4[/math]
  2. [math](x-2)^2+(y+2)^2=2[/math]
  3. [math](x+2)^2+(y-2)^2=2[/math]
  4. [math](x+2)^2+(y-2)^2=4[/math]
Grade 12 Complex Numbers CCSS: HSN-CN.C.8
Factor [math]x^2+64[/math]
  1. [math](x+8i)(x-8i)[/math]
  2. [math](x-8)(x+8)[/math]
  3. [math]+-sqrt64[/math]
  4. [math](x+64i)(x-64i)[/math]
Grade 12 Functions CCSS: HSF-TF.A.3
What is the value of tangent [math] (pi)[/math]?
  1. [math]-1/2[/math]
  2. [math]sqrt2/2[/math]
  3. [math]1[/math]
  4. [math]0[/math]
Grade 12 Circles
What is the equation for a circle with center [math](-4,6)[/math] and radius of 6?
  1. [math](x+4)^2+(y-6)^2=12[/math]
  2. [math](x-4)^2+(y+6)^2=36[/math]
  3. [math](x+4)^2+(y+6)^2=12[/math]
  4. [math](x+4)^2+(y-6)^2=36[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSA-APR.A.1
[math](x^2-64)/(x(x+8))*x/(x-8)[/math] =
  1. 1
  2. [math](x^3-64x)/((x+8)(x-8)[/math]
  3. [math](x^2-8)/(x^2-64)[/math]
Grade 12 Polynomials and Rational Expressions CCSS: HSF-IF.C.7c
[math]f(x)=2x^5+x^3-3x[/math] is                                                                                               .
  1. Increasing on [math](-oo,oo)[/math]
  2. Decreasing on [math](-oo,-0.65)cup(0.65,oo)[/math] and increasing on [math](-0.65,0.65)[/math]
  3. Increasing on [math](-oo,-0.65)cup(0.65,oo)[/math] and decreasing on [math](-0.65,0.65)[/math]
  4. Decreasing on [math](-oo,-1.4)cup(1.4,oo)[/math] and decreasing on [math](1.4,-1.4)[/math]
Grade 12 Matrices CCSS: HSN-VM.C.8
[math][[5,2],[2,1]]-[[2,1],[4,-3]] = [/math]
  1. [math][[3,1],[2,4]][/math]
  2. [math][[7,3],[6,-2]][/math]
  3. [math][[12,6],[2,1]][/math]
  4. [math][[3,1],[-2,4]][/math]
Grade 12 Polynomials and Rational Expressions
[math]x^5/2*(9yz)/y^7*(y^3)/(7z)[/math]=
  1. [math](x^2*9)/(2*y^3)[/math]
  2. [math](x^5*3)/(7y^4)[/math]
  3. [math](9x^5)/(14y^3)[/math]
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