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I declare this is my own work.
A+level
ACT® Math Exam Simulation – Practice
Questions + Verified Answers
Time allowed: 3 hours
Materials
For this paper you must have: For Examiner’s Use
• a calculator. Section Mark
A
Instructions
• Use black ink or black ball-point pen. B
• Fill in the boxes at the top of this page. C
• Answer all questions.
TOTAL
• You must answer the questions in the spaces provided. Do not write
outside the box around each page or on blank pages.
• If you need extra space for your answer(s), use the lined pages at the end
of this book. Write the question number against your answer(s).
• Do all rough work in this answer book. Cross through any
work you do not want to be marked.
Information
• The marks for each question are shown in brackets.
• The maximum mark for this paper is 120.
EXAM/V/ST/V /E8
, Formula for a Sector - ✔✔Sectors, Areas, and Arcs. The area A of a circle with radius r is given by A = πr2. The
circumference C of that same circle is given by C = 2πr. But these are the formulas for the entire circle.
Geometric Formula - ✔✔In mathematics, a geometric progression, also known as a geometric sequence, is a sequence
of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called
the common ratio. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3.
Arithmetic Sequence - ✔✔An arithmetic progression, or AP, is a sequence where each new term after the first is
obtained. by adding a constant d, called the common difference, to the preceding term. If the first term. of the sequence
is a then the arithmetic progression is.
Colinear - ✔✔Lying in the same straight line.
Coordinate Plane - ✔✔
Ray - ✔✔A ray is a line with an endpoint that extends infinitely in one direction.
Angle Side Angle - ✔✔Definition of Angle Side Angle Congruency. ASA congruence postulate states that if two angles
and the included side of one triangle are congruent to the two angles and the included side of another triangle, then the
two triangles are congruent.
Angle Angle Side - ✔✔if two angles and the non-included side are congruent to another
Side Side Side - ✔✔If 3 sides of a triangle are congruent to
CSC - ✔✔tangent(q) = opp/adj. cotangent(q) = adj/opp. Furthermore, the functions are usually abbreviated: sine (sin),
cosine (cos), tangent (tan) cosecant (csc), secant (sec), and cotangent (cot). Do not be overwhelmed. By far, the two
most important trig functions to remember are sine and cosine.
Supplementary Angles - ✔✔Two angles whose sum is 180 degrees
Complementary Angles - ✔✔Two angles whose sum is 90 degrees
Centre number Candidate number
Surname
Forename(s)
Candidate signatu re
I declare this is my own work.
A+level
ACT® Math Exam Simulation – Practice
Questions + Verified Answers
Time allowed: 3 hours
Materials
For this paper you must have: For Examiner’s Use
• a calculator. Section Mark
A
Instructions
• Use black ink or black ball-point pen. B
• Fill in the boxes at the top of this page. C
• Answer all questions.
TOTAL
• You must answer the questions in the spaces provided. Do not write
outside the box around each page or on blank pages.
• If you need extra space for your answer(s), use the lined pages at the end
of this book. Write the question number against your answer(s).
• Do all rough work in this answer book. Cross through any
work you do not want to be marked.
Information
• The marks for each question are shown in brackets.
• The maximum mark for this paper is 120.
EXAM/V/ST/V /E8
, Formula for a Sector - ✔✔Sectors, Areas, and Arcs. The area A of a circle with radius r is given by A = πr2. The
circumference C of that same circle is given by C = 2πr. But these are the formulas for the entire circle.
Geometric Formula - ✔✔In mathematics, a geometric progression, also known as a geometric sequence, is a sequence
of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called
the common ratio. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3.
Arithmetic Sequence - ✔✔An arithmetic progression, or AP, is a sequence where each new term after the first is
obtained. by adding a constant d, called the common difference, to the preceding term. If the first term. of the sequence
is a then the arithmetic progression is.
Colinear - ✔✔Lying in the same straight line.
Coordinate Plane - ✔✔
Ray - ✔✔A ray is a line with an endpoint that extends infinitely in one direction.
Angle Side Angle - ✔✔Definition of Angle Side Angle Congruency. ASA congruence postulate states that if two angles
and the included side of one triangle are congruent to the two angles and the included side of another triangle, then the
two triangles are congruent.
Angle Angle Side - ✔✔if two angles and the non-included side are congruent to another
Side Side Side - ✔✔If 3 sides of a triangle are congruent to
CSC - ✔✔tangent(q) = opp/adj. cotangent(q) = adj/opp. Furthermore, the functions are usually abbreviated: sine (sin),
cosine (cos), tangent (tan) cosecant (csc), secant (sec), and cotangent (cot). Do not be overwhelmed. By far, the two
most important trig functions to remember are sine and cosine.
Supplementary Angles - ✔✔Two angles whose sum is 180 degrees
Complementary Angles - ✔✔Two angles whose sum is 90 degrees
