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Algebra Geometry Trigonometry Math Problems to Solve AMBQID PDF

SAT ACT Common Core State Standard Math Practice Test Question AMBQID PDF

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SAT ACT Common Core Math Algebra Trigonometry Geometry Questions with Solutions AMBQID PDF

 

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SAT Math Practice Test Sample Questions AMQID 101 to 110

SAT Math Practice Test: AMBQID 101

In the given figure, the quadrilateral is a rectangle and both red regions have equal area. Find cosθ.

Math Problems to Solve AMBQID 101 Solution :

SAT Math Practice Test: AMBQID 102

If the product of first 20 prime numbers is divided by 4, then find remainder.

Math Problems to Solve AMBQID 102 Solution :

SAT Math Practice Test: AMBQID 103

If a = 11111…1(55 digits), b = 1 + 10 + 102 + 103 + 104, c = 1 + 105 + 1010 + 1015 + … + 1050, then, which one is correct?

Math Problems to Solve AMBQID 103 Solution :

SAT Math Practice Test: AMBQID 104

In triangle ABC, the median through A is perpendicular to AB, then 

Math Problems to Solve AMBQID 104 Solution :

SAT Math Practice Test: AMBQID 105

In the given figure, find the number of parallelograms.

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SAT Math Practice Test: AMBQID 106

Find the slope of line with a positive rational slope, which passes through (6, 0) and at a distance of 5 from (1, 3).

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SAT Math Practice Test: AMBQID 107

If x >= y and y > 1 , then which one cannot be the value of logx(x/y) + logy(y/x).

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SAT Math Practice Test: AMBQID 108

If the equation 2x2 – (N3 + 8N – 1)x + (N2 – 4N) = 0 has roots of opposite sign. Then the value of N cannot be equal to

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SAT Math Practice Test: AMBQID 109

If x = 33n, n is a positive integral. Find the probability that x has 3 in unit place.

Math Problems to Solve AMBQID 109 Solution :

SAT Math Practice Test: AMBQID 110

Find the derivative of loge|x|.

Math Problems to Solve AMBQID 110 Solution :

SAT Math Sample Questions AMQID 111 to 120

SAT Math Sample Questions: AMBQID 111

If area of circle = 30 and area of the triangle = 15, then find the value of sinα + sinβ + sin𝛄.

Math Problems to Solve AMBQID 111 Solution :

SAT Math Sample Questions: AMBQID 112

P(N)  = product  of  digits  of N and S(N) = Sum of Digits of N. If N is a two-digits number such that N = P(N) + S(N). Find the number of values of N.

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SAT Math Sample Questions: AMBQID 113

If x = b + c – 2a, y = c + a – 2b, z = a + b – 2c, then find the value of x2 + y2 – z2 + 2xy.

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SAT Math Sample Questions: AMBQID 114

Find the value of cotθ/2 in the figure below.

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SAT Math Sample Questions: AMBQID 115

If n! has four zeroes at the end and (n+1)! has six zeroes at the end. Find the value of n.

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SAT Math Sample Questions: AMBQID 116

In the given figure, find the value of (a + b).

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SAT Math Sample Questions: AMBQID 117

If N = log25^log52^log27^log75^log58, then find the value of N.

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SAT Math Sample Questions: AMBQID 118

If f(x) = x/(x + 1), then find the value of f(1/13) + f(2/12) + f(3/11) + f(4/10) + …f(12/1) + f(13/1) = p/q, where HCF(p, q) = 1, then find the value of (p – q).

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SAT Math Sample Questions: AMBQID 119

Two squares are chosen at random on a chessboard. Find the probability that they have a common side.

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SAT Math Sample Questions: AMBQID 120

Find the limit (x tends to infinity).

Math Problems to Solve AMBQID 120 Solution :

SAT Math Topics Questions AMQID 121 to 130

SAT Math Topics Question: AMBQID 121

O1 and O2 are centres of circles. PQ = 8 and QS = 18. Find AQ.

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SAT Math Topics Question: AMBQID 122

42n + 42n+1 has 42 divisors. Find n

Math Problems to Solve AMBQID 122 Solution :

SAT Math Topics Question: AMBQID 123

If x4 + 1/x4 = 527, then find the value of (x – 1)(x – 2)(x – 3)(x – 4).

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SAT Math Topics Question: AMBQID 124

In the given figure, find the value of (a.tanα.sinθ)/(bcosβ).

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SAT Math Topics Question: AMBQID 125

In the given figure, find the area of square.

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SAT Math Topics Question: AMBQID 126

Find the slope of GC.

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SAT Math Topics Question: AMBQID 127

Find the value of the logarithmic expression as below.

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SAT Math Topics Question: AMBQID 128
Find the sign of a, b, c and D.

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SAT Math Topics Question: AMBQID 129

If (a3 – 1)x2 + (a + b – 1)x + (a + b + c) = 0 has three roots, then find the value of (a – b – c).

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SAT Math Topics Question: AMBQID 130

Find the value of (m9 – 9m3n3 – n9).

Math Problems to Solve AMBQID 130 Solution :

SAT Math Sections Questions AMBQID 131 to 140

SAT Math Sections Question: AMBQID 131

In an isosceles triangle, if perimeter > 3(Length of Base). Find the smallest integral value of largest internal angle.

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SAT Math Sections Question: AMBQID 132

If sum of five different positive integers = 106. Find maximum positive integer among five integers.

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SAT Math Sections Question: AMBQID 133

Find the angle x.

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SAT Math Sections Question: AMBQID 134

If π/2 < α < β < π, which of the following is FALSE?

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SAT Math Sections Question: AMBQID 135

Find the value of (x + y).

Math Problems to Solve AMBQID 135 Solution :

SAT Math Sections Question: AMBQID 136

Find the value of (cot α – cot 𝛾)/cot β.

Math Problems to Solve AMBQID 136 Solution :

SAT Math Sections Question: AMBQID 137

Find the limit (x tends to infinity).

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SAT Math Sections Question: AMBQID 138

If α and β are roots of 2x2 – 35x + 2 = 0. Find value of (2α – 35)3(2β – 35)3.

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SAT Math Sections Question: AMBQID 139

Find perimeter of obtuse angled triangle whose sides are consecutive integers.

Math Problems to Solve AMBQID 139 Solution :

SAT Math Sections Question: AMBQID 140

If x + y = 1050, then find maximum HCF of x and y.

Math Problems to Solve AMBQID 140 Solution :

ACT Math Practice Test Questions AMBQID 141 to 150

ACT Math Practice Test Question: AMBQID 141

Find x in the given figure below.

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ACT Math Practice Test Question: AMBQID 142

Find the unit digit of the given expression.

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ACT Math Practice Test Question: AMBQID 143

Find the value of the given expression.

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ACT Math Practice Test Question: AMBQID 144

Find BC in the figure below.

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ACT Math Practice Test Question: AMBQID 145

O is center of semi-circle (radius = 12) and O’ is center of circle (radius = 4). Then, find AB.

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ACT Math Practice Test Question: AMBQID 146

If (2020!)! is divisible by ((n!)!)!, then find the largest natural number n.

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ACT Math Practice Test Question: AMBQID 147

If x and y are distinct number such that 2020 + x = y2 and 2020 + y = x2, then find the product xy.

Math Problems to Solve AMBQID 147 Solution :

ACT Math Practice Test Question: AMBQID 148

If 3/2 < x < 5/2, then find the value of given expression.

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ACT Math Practice Test Question: AMBQID 149

If N is the smallest natural number such that N = x3 = y5, x and y are distinct integers. Find the sum of digits of N.

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ACT Math Practice Test Question: AMBQID 150

A square with area 30 is divided by a diagonal and then into triangles. Find the areas of some of these triangles are given.

Math Problems to Solve AMBQID 150 Solution :

ACT Math Sample Questions AMBQID 151 to 160

ACT Math Sample Question: AMBQID 151

P is in the interior of triangle ABC. Lines through P parallel to the sides of triangle ABC, then the resulting smaller triangles have areas t1 = 4, t2 = 9, t3 = 49. Find the area of triangle ABC.

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ACT Math Sample Question: AMBQID 152

A triangle ABC have sides a, b, c such that a2 + b2 = 101c2, then find cotC/(cotA + cotB).

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ACT Math Sample Question: AMBQID 153

If a rectangle is divided into three smaller rectangle. Find the perimeter of shaded rectangle.

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ACT Math Sample Question: AMBQID 154

In a triangle ABC with sides a, b, c such that tanA : tanB : tanC = 1 : 2 : 3, then find the value of a : b : c.

Math Problems to Solve AMBQID 154 Solution :

ACT Math Sample Question: AMBQID 155

Find the value of tan(Alpha) x tan(Beeta).

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ACT Math Sample Question: AMBQID 156

Evaluate:

Math Problems to Solve AMBQID 156 Solution :

ACT Math Sample Question: AMBQID 157

ABCD is a rhombus and 2(Alpha) – Beeta = 60 degree, then find theta.

Math Problems to Solve AMBQID 157 Solution :

ACT Math Sample Question: AMBQID 158

If 1/3 + 13/15 + 33/35 + 61/63 + … + 397/399 = x y/z, then find x + y + z.

Math Problems to Solve AMBQID 158 Solution :

ACT Math Sample Question: AMBQID 159

ABCD is a rectangle and OA = OC, then find the angle APD.

Math Problems to Solve AMBQID 159 Solution :

ACT Math Sample Question: AMBQID 160

In the given figure below, ABCD is a rhombus. Find the angle theta.

Math Problems to Solve AMBQID 160 Solution :

ACT Math Topics Questions AMBQID 161 to 170

ACT Math Topic Question: AMBQID 161

In p(x) = x3 + ax2 + bx + c, mean of its roots, product of its roots and the sum of its coefficient are equal. If y-intercept of the graph of y = p(x) is 2, then find the value of b.

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ACT Math Topic Question: AMBQID 162

If AB = CD, then find the value of cot(Alpha) – tan(Beeta).

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ACT Math Topic Question: AMBQID 163

In the given figure below, find the value of tan(Alpha + Beeta).

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ACT Math Topic Question: AMBQID 164

Find the sum of the series.

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ACT Math Topic Question: AMBQID 165

Find the value of tan(Theta).

Math Problems to Solve AMBQID 165 Solution :

ACT Math Topic Question: AMBQID 166

ABCD is a square, then find tan(theta).

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ACT Math Topic Question: AMBQID 167

Evaluate.

Math Problems to Solve AMBQID 167 Solution :

ACT Math Topic Question: AMBQID 168

In the given figure below, find the perimeter of the sector AOB.

Math Problems to Solve AMBQID 168 Solution :

ACT Math Topic Question: AMBQID 169

In the given figure below, find the value of mn.

Math Problems to Solve AMBQID 169 Solution :

ACT Math Topic Question: AMBQID 170

In the given figure below, find the value of CD.

Math Problems to Solve AMBQID 170 Solution :

ACT Math Sections Questions AMBQID 171 to 180

ACT Math Section Question: AMBQID 171

In the figure below, find x.

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ACT Math Section Question: AMBQID 172

In the figure below, find the value of h.

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ACT Math Section Question: AMBQID 173

In the figure below, find r.

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ACT Math Section Question: AMBQID 174

Find OP.

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ACT Math Section Question: AMBQID 175

Find AD.

Math Problems to Solve AMBQID 175 Solution :

ACT Math Section Question: AMBQID 176

Let a, b, c, d, e are distinct integers such that (6 – a)(6 – b)(6 – c)(6 – d)(6 – e) = 45, find the value of (a + b + c + d + e).

Math Problems to Solve AMBQID 176 Solution :

ACT Math Section Question: AMBQID 177

If 12(x!) + 5(x + 1)! = (x + 2)!, find the value of x.

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ACT Math Section Question: AMBQID 178

Find shaded area in the figure below.

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ACT Math Section Question: AMBQID 179

In the given figure below, find the value of L1/L2.

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ACT Math Section Question: AMBQID 180

ABCD is a square of area 9 sq. unit. Q is a point of trisection of BD, then find cot(Alpha/2).

Math Problems to Solve AMBQID 180 Solution :

Common Core Math State Standards Math Practice Test Questions AMBQID 181 to 190

Common Core Math State Standards Math Practice Test: AMBQID 181

If p(x) = x27 + 3x19 + 5x3 – 2x2 – 8 is divided by d(x) = x2 + x + 1, then the remainder r(x). Find r(1).

Math Problems to Solve AMBQID 181 Solution :

Common Core Math State Standards Math Practice Test: AMBQID 182

In the figure below, find AC.

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Common Core Math State Standards Math Practice Test: AMBQID 183

In the figure below, find (b – c).

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Common Core Math State Standards Math Practice Test: AMBQID 184

If cotB = (sin A – sin C) / (cos C – cos A), then A, B, C are in

Math Problems to Solve AMBQID 184 Solution :

Common Core Math State Standards Math Practice Test: AMBQID 185

If ax2 – bx + 5 = 0 does not have two distinct real roots, then minimum value of (5a + b) is

Math Problems to Solve AMBQID 185 Solution :

Common Core Math State Standards Math Practice Test: AMBQID 186

Find ax5 + by5.

Math Problems to Solve AMBQID 186 Solution :

Common Core Math State Standards Math Practice Test: AMBQID 187

Find set of points (x, y) for which sin(X + Y) = sin X + sin Y.

Math Problems to Solve AMBQID 187 Solution :

Common Core Math State Standards Math Practice Test: AMBQID 188

If A(0, -10) and B(2, 0) and C on the parabola y = x2. Find minimum value of area of triangle ABC.

Math Problems to Solve AMBQID 188 Solution :

Common Core Math State Standards Math Practice Test: AMBQID 189

Find number of non-negative integers solutions to the system of the given equations.

Math Problems to Solve AMBQID 189 Solution :

Common Core Math State Standards Math Practice Test: AMBQID 190

Find the type of the triangle ABC.

Math Problems to Solve AMBQID 190 Solution :

CCSS Math Standard Questions AMBQID 191 to 200

CCSS Math Standard Question: AMBQID 191

Evaluate the expression.

Math Problems to Solve AMBQID 191 Solution :

CCSS Math Standard Question: AMBQID 192

If coordinate of vertices of a square ABCD is A(a, 1), B(b, 5), C(c, 11) and D(d, 7), then find the area of square ABCD.

Math Problems to Solve AMBQID 192 Solution :

CCSS Math Standard Question: AMBQID 193

If the sum of digits of product (8) x (8888…up to n digits) is 1000, then find n.

Math Problems to Solve AMBQID 193 Solution :

CCSS Math Standard Question: AMBQID 194

Find |a – b|.

Math Problems to Solve AMBQID 194 Solution :

CCSS Math Standard Question: AMBQID 195

Find the sum.

Math Problems to Solve AMBQID 195 Solution :

CCSS Math Standard Question: AMBQID 196

Find the shaded area.

Math Problems to Solve AMBQID 196 Solution :

CCSS Math Standard Question: AMBQID 197

Find the last digit of smallest positive integer whose the sum of digit is 2021.

Math Problems to Solve AMBQID 197 Solution :

CCSS Math Standard Question: AMBQID 198

Evaluate .

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CCSS Math Standard Question: AMBQID 199

Find smallest three digit number ABC such that ABC = A + B + C + AB + BC + CA + ABC.

Math Problems to Solve AMBQID 199 Solution :

CCSS Math Standard Question: AMBQID 200

If AB = 4, then find the saded area.

Math Problems to Solve AMBQID 200 Solution :

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