3U Mastery Sample Booklet
01 Algebra Review
1.If x = -4, then evaluate
a. / -20 / b. / 12 / c. / 4 / d. / -122.If 1 - 2x = 3, then x =
a. / 2 / b. / -1 / c. / -3 / d. / -23.If , then x =
a. / 12 / b. / -3 / c. / -12 / d. / 34.Solve 3x - 2y = 4 for x
a. / / b. / / c. / / d. /5.Simplify
a. / / b. / 4 / c. / / d. / 36.Simplify
a. / / b. / / c. / / d. /7.Simplify
a. / / b. / / c. / / d. /8.Simplify
a. / / b. / 4x / c. / / d. /9.Simplify
a. / / b. / / c. / / d. /10.Solve
a. / a=2 & b=-1 / b. / a=-4 & b=1 / c. / a=3 & b=1 / d. / a=1 & b=-311.Solve
a. / a=5 & b=1 / b. / a=1 & b=-1 / c. / a=-1 & b=-2 / d. / a=-3 & b=-212.d represents the number of dimes and q represents the number of quarters. Choose the equation corresponding to the statement "There are 3 more dimes than quarters".
a. / d +3 = q / b. / 10d =25 q + 3 / c. / 10d - 25q = 3 / d. / d - q = 313.d represents the number of dimes and q represents the number of quarters. Choose the equation corresponding to the statement "The dimes are worth $5 less than the quarters".
a. / 10d - 5 = 25q / b. / 0.25q - 0.1d = 5 / c. / d = q - 5 / d. / 10d - 25q = 50014.If I have to run for 8 hours at x km/h, then what represents the distance in km?
a. / 8x / b. / / c. /15.Which method would be easiest to solve the system:
a. / graphing / b. / substitution / c. / elimination16.Which method would be easiest to solve the system:
a. / graphing / b. / substitution / c. / elimination17.Which method would be easiest to solve the system:
a. / graphing / b. / substitution / c. / elimination18.The following diagram illustrates that
a. / / c. /b. / / d. /
19.Expand and simplify -2x(x - 3)
a. / / b. / / c. / / d. /20.Expand and simplify (2x - 1)(x - 3)
a. / / b. / / c. / / d. /21.Factor completely:
a. / / b. / / c. / / d. /22.Factor completely:
a. / / b. / / c. / / d. /23.Factor completely:
a. / / b. / / c. / / d. /24.Factor completely:
a. / / b. / / c. / / d. /25.Factor completely:
a. / / b. / / c. / / d. /26.Solve for x:
a. / or / b. / or / c. / or / d. / or27.Write an equation that has roots -2 and 1.
a. / / c. /b. / / d. /
28.Write the equation of a parabola that has zeros at -1 and 2.
a. / / c. /b. / / d. /
29.If then
a. / x = 4 or x = -2 / b. / x = ±4 / c. / x = ±2 / d. / x = 2 or x = -430.If then
a. / x = -3 or x = 2 / b. / x = 3 or x = -2 / c. / x = 6 or x = -1 / d. / x = -6 or x = 131.Complete the square: is equal to
a. / / b. / / c. / / d. /32.The equation has discriminant
a. / 25 / b. / 1 / c. / 29 / d. / 2133.The equation has
a. / no real roots / b. / one real root / c. / two distinct real roots34.If then
a. / / c. /b. / / d. /
02 Relations Review
1.Select the table of values for the equation 2x - y = 3
a. / / b. / / c. / / d. /2.The graph of x+3y = -3 is
a. / Line 1 / b. / Line 2 / c. / Line 3 / d. / Line 4 / e. / Line 53.The graph of y = -2 is
a. / Line 1 / b. / Line 2 / c. / Line 3 / d. / Line 4 / e. / Line 54.The graph of x = 2 is
a. / Line 1 / b. / Line 2 / c. / Line 3 / d. / Line 4 / e. / Line 55.A line passes through A(-2,1) and has slope . What are the coordinates of another point on the line?
a. / (-3,-1) / b. / (0,0) / c. / (-3,3) / d. / (0,-1)6.The first relationship is defined A second relationship is defined by its
by the table of values: table of values:
Which of these relationships is linear or quadratic?
a. / 1st is linear &2nd is quadratic / b. / both are linear / c. / both are quadratic / d. / some other combination
7.A parabola has zeros at -1 and 7. The equation of the axis of symmetry is
a. / x = 3 / b. / x = 6 / c. / x = 4 / d. / x=3.58.The graph of a parabola is shown below. Its maximum value is
a. / 4 / b. / 3 / c. / 6.5 / d. / 79.The equation of the parabola shown is
a. / / b. / / c. / / d. /10.Which equation defines the image of under a translation 3 units right?
a. / / b. / / c. / / d. /11.Which equation defines the image of under a reflection in the x-axis and a vertical stretch of factor 2.
a. / / b. / / c. / / d. /12.A relation is defined by . Which of the following points belong to this relation?
A(3,4) B(-3,4) C(-2,1)
a. / A / b. / A & B / c. / C / d. / none13.A relation is defined by . This relation has a minimum or maximum value of
a. / minimum 1 / b. / maximum 3 / c. / minimum -2 / d. / maximum 214.A relation is defined by . Two points on the parabola are:
a. / (0,4) and (2,4) / b. / (3,4) and (0,4) / c. / (-3,4) and (0,4) / d. / (3,4) and (2,4)15.A relation is defined by . Its axis of symmetry has equation...
a. / x = -6 / b. / x=-3 / c. / x = 3 / d. / x = 603 TI-83 Review
1.Which line is the line of best fit for the data shown below?
a. / line 1 / b. / line 2 / c. / line 3 / d. / line 42.Use a TI-83 to find the equation of the line of best fit and the correlation coefficient (rounded to 2 decimal places) for the following data:
a. / y = 3.29x + 87.14 and r = 0.94 / c. / y=3.07x+94.29 and r=0.95b. / y = 3.93x + 70.71 and r = 0.97 / d. / y=3.21x+87.86 and r=0.99
3.Which curve best fits the data shown?
a. / curve1 / b. / curve 2 / c. / curve 3 / d. / curve 44.Use a TI-83 to find the equation of the parabola of best fit and the value of R2 (rounded to 2 decimal places) for the following data:
a. / y = -0.31x2 + 20.88x - 157.50 and R2 = 0.94b. / y = -0.17x2 + 13.52x - 62.73 and R2 = 0.96
c. / y = -0.43x2 + 27.06x - 239.32 and R2 = 0.99
d. / y = -0.09x2 + 8.01x + 21.14 and R2 = 0.98
5.Determine the zeros (2 decimal places) of the relation with equation
a. / 1.72, -1.49 / b. / 0.72, -0.30 / c. / 0.88, -0.24 / d. / 0.94, -0.256.One solution to the system is approximately
a. / x=1.90, y=8.80 / b. / x=1.78, y=8.56 / c. / x=1.63, y=8.27 / d. / x=2.31, y=9.6204 Functions
1.Use the diagram below to write the relation as a set of ordered pairs.
a. / {(0,3), (2,3), (-3,1)} / c. / {(1,-3), (3,0), (3,2)}b. / {(-3,1), (0,2), (2,3)} / d. / {(1,-3), (2,0), (3,2)}
2.If f = {(1,3), (-1,5), (3,-1)} then f(-1) =
a. / 5 / b. / -3 / c. / 3 / d. / -53.If f = {(0,5), (-1,3), (5,-1)} then f-1(-1) =
a. / -5 / b. / 5 / c. / -3 / d. / 34.Which of the following arrow diagrams illustrate functions?
#1 #2
a. / neither / b. / #1 only / c. / #2 only / d. / both #1 and #25.If f(x) = , then f-1(x) =
a. / 2(x + 1) / b. / 2x + 1 / c. / / d. /6.If g(x) = x2 - 2x, then evaluate g(-3)
a. / 15 / b. / 3 / c. / -3 / d. / 07.If f(x) = 2 - 0.5x and f(a) = 5 then a =
a. / -6 / b. / -1.5 / c. / -0.5 / d. / 148.A function is defined by . Its domain is
a. / {x | x 0, x } / c. / {x | x 3, x }b. / {x | x > 0, x } / d. / {x | x 3, x }
9.A function is defined by . Its range is
a. / {y | y 0, y } / c. / {y | y 3, y }b. / {y | y > 0, y } / d. / {y | y 3, y }
10.The graphs of functions are...
#1 #2
a. / neither / b. / # 1 only / c. / # 2 only / d. / both11.Which of the following diagrams correspond to the function defined by f(x) = –1 + 2x
a. / / c. /b. / / d. /
12.A function f has I/O diagram
Which of the following diagrams correspond to ?
a. / / c. /b. / / d. /
13.A function f is defined by
Which of the following tables of values correspond to ? (NOTE: the inverse of f)
a. / / b. / / c. / / d. /05 Sequences, Discrete Functions and Transformations
1.Which of the following graphs best illustrates = 2(n + 2) , ?
a. / / c. /b. / / d. /
2.A function g is defined in terms of another function f as shown in the diagram below.
The point is on the graph of f. Which of the following is the corresponding point on the graph of g?
a. / / c. /b. / / d. /
3.A function g is defined in terms of another function f as shown in the diagram below.
What transformations must be applied to the graph of f to get the graph of g?
a. / A vertical translation of 1 unit(s) up, and a horizontal stretch of factor 2 / c. / A vertical translation of 1 unit(s) left, and a horizontal stretch of factor 2b. / A vertical translation of 1 unit(s) up, and a horizontal stretch of factor / d. / A vertical translation of 1 unit(s) left, and a horizontal stretch of factor
4.What is the next number in the sequence 2,-3,4,-5,...?
a. / -16 / b. / 6 / c. / -6 / d. / 165.If then is equal to
a. / 18 / b. / 8 / c. / 6 / d. / 96.The input/output diagram illustrates a number of transformations to y=f(x).
The correct sequence of horizontal transformations applied to f is...
a. / a horizontal stretch of factor followed by a hor. translation of 3 units leftb. / a hor. translation of 3 units right followed by a horizontal stretch of factor 2
c. / a hor. translation of 3 units left followed by a horizontal stretch of factor
d. / a horizontal stretch of factor 2 followed by a hor. translation of 3 units right
7.The input/output diagram illustrates a number of transformations to y=f(x).
The correct sequence of vertical transformations applied to f is...
a. / a vertical stretch of factor followed by a vertical translation of 1 unit upb. / a vertical. translation of 1 unit up followed by a vertical stretch of factor 4
c. / a vertical. translation of 1 unit down followed by a vertical stretch of factor
d. / a vertical stretch of factor 4 followed by a vertical. translation of 1 unit down.
8.The input/output diagram illustrates a number of transformations to y=f(x).
The equation for this new function is...
a. / / c. /b. / / d. /
06 Quadratics and Radicals
1.What value of ‘d’ makes a perfect square?
a. / / b. / 14 / c. / / d. / 492.Given a function defined by . How many distinct zeros does it have?
a. / 0 / b. / 1 / c. / 23.If - 3x + 2 then its zero(s) are at
a. / 1 and 2 / b. / 1 and –2 / c. / –1 and –2 / d. / –1 and 24.If + x - 10 then ...
a. / (x + 4) (x - 3) + 2 / c. / (x + 4) (x + 3) - 2b. / (x - 4) (x - 3) - 2 / d. / (x - 4) (x + 3) + 2
5. + 2x - 6 is equivalent to (x - 1)+
a. / 1st box: (x + 3) 2nd box: - 3 / c. / 1st box: (x + 3) 2nd box: + 9b. / 1st box: (x - 1) 2nd box: - 7 / d. / 1st box: (x - 1) 2nd box: + 5
6. - 32x + 61 is equivalent to ...
a. / - 3 / c. /b. / / d. / - 3
7.Simplify
a. / / b. / / c. / / d. /8.The equation of the image of after a translation of 3 units down is
a. / / b. / / c. / / d. /9.The equation of the image of after a reflection in the x-axis and a horizontal translation of 3 units right is
a. / / b. / / c. / / d. /10.The equation of the inverse of is...
a. / / b. / / c. / / d. /11.The equation of the image of after a reflection in the y-axis is
a. / / b. / / c. / / d. /12. is equivalent to...
a. / / c. /b. / / d. /
07 Rational Functions
1.
a. / / b. / / c. / / d. /2.
a. / / b. / / c. / / d. /3.
a. / / b. / / c. / / d. /4.
a. / / b. / / c. / / d. /5.Simplify
a. / / b. / / c. / x + 4 / d. /6.The next line in the simplification of is...
a. / / c. /b. / / d. /
7.The least common denominator for is...
a. / x(x - 2)(x - 4) / c. / x(x - 2)(x + 2)b. / x2 - 8x / d. / (x2 - 4x)(x2 - 2x)
8.Simplify
a. / -4x2 / b. / 1 - 2x / c. / 1 - 4x2 / d. / -2x9.Simplify
a. / x + 1 / b. / x2 +1 / c. / x - 1 / d. / x2 -110.Simplify
a. / 2 / b. / -2 / c. / 3x - 2 / d. / x - 411.The equation of the function shown below could be...
a. / / b. / / c. / / d. /12.After the graph of has been translated horizontally 2 units to the right, and translated vertically 3 units up, the resulting equation of the function would be...
a. / / b. / / c. / / d. /13.The I/O diagram for a function is ...
The equation for the inverse is
a. / / b. / / c. / / d. /14.The function defined by ... has domain
a. / / b. / / c. / / d. /15.The function defined by ... has range
a. / / b. / / c. / / d. /08 Arithmetic and Geometric Sequences
1.If then ?
a. / 0.0234375 / b. / 10 / c. / 19683 / d. / 0.011718752.If then ?
a. / 29 / b. / 16384 / c. / 42 / d. / 303.What is the next number in the sequence ?
a. / 768 / b. / –432 / c. / –144 / d. / 1534.What is the next number in the sequence ?
a. / –21 / b. / –25 / c. / –30 / d. / –38885.The sequence 8, -4, 2, -1,... is
a. / arithmetic / b. / geometric / c. / neither a or b6.The sequence 10, 6, 2, -2,... is
a. / arithmetic / b. / geometric / c. / neither a or b7.The sequence 3, -4, 5, -6,... is
a. / arithmetic / b. / geometric / c. / neither a or b09 Exponential Functions
1.Evaluate
a. / / b. / 25 / c. / / d. / -252.Evaluate
a. / -12 / b. / / c. / 8 / d. /3.Evaluate
a. / -2.5 / b. / -7 / c. / / d. / -144.Simplify
a. / / b. / / c. / / d. /5.Simplify . Assume
a. / / b. / / c. / / d. /6.Simplify . Assume
a. / / b. / / c. / / d. /7.Simplify . Assume
a. / / b. / / c. / / d. /8.Simplify . Assume
a. / / b. / / c. / / d. /9.Simplify . Assume
a. / / b. / / c. / / d. /10.The equation of the function shown below could be...
a. / / c. /b. / / d. /
11.After the graph of has been translated horizontally 3 units to the right, and translated vertically 1 units down, the resulting equation of the function would be...
a. / / b. / / c. / / d. /12.The function defined by has range...
a. / / c. /b. / / d. /
10 Trigonometric Functions
1.
The diagram shows the unit circle with points equally spaced around its circumference.If = -0.966, then which of the following points is closest to the terminal ray of ? /
a. / L and N / b. / R and T / c. / R and H / d. / N and X
2. The period of the function graphed below is closest to ...
a. / 5 / b. / 1 / c. / 1.5 / d. / 0.53.P is a point on the unit circle and is on the terminal arm of angle . Which of the following is true?
a. / cos and tan / c. / cos and tan b. / sin and tan / d. / sin and tan
4.
The diagram shows the unit circle with points equally spaced around its circumference.Which point on the unit circle lies on the terminal arm of ? /
a. / O / b. / U / c. / C / d. / I
5.If and then is approximately
a. / / b. / / c. / / d. /6.The input/output diagram illustrates a number of transformations to y=cos(x).
The correct sequence of horizontal transformations applied to y=cos(x) is...
a. / a horizontal translation of 1 units right, followed by a hor. stretch of factorb. / a horizontal stretch of factor , followed by a hor. translation of 1 units right
c. / a horizontal translation of 1 units left, followed by a hor. stretch of factor 3
d. / a horizontal stretch of factor 3 , followed by a hor. translation of 1 units left
7.The input/output diagram illustrates a number of transformations to y=cos(x).
The correct sequence of vertical transformations applied to y=cos(x) is...
a. / a vertical translation of 2units up, followed by a vert. stretch of factor 5b. / a vertical stretch of factor 5 followed by a vert. translation of 2units up
c. / a vertical translation of 2units down, followed by a vert. stretch of factor
d. / a vertical stretch of factor followed by a vert. translation of 2units down,
8.The input/output diagram illustrates a number of transformations to y=sin(x).
The new function has ...
a. / period and amplitude 5b. / period and amplitude
c. / period and amplitude 5
d. / period and amplitude
9.The input/output diagram illustrates a number of transformations to y=sin(x).
The point on the bas function with x coordinate 0 is transformed to the point...
a. / (–15,3) / b. / (–15,–12) / c. / (1,3) / d. / (1,–12)10.Which of the following could be the graph of ?
a. / / c. /b. / / d. /
11 Trigonometry
1.
In the diagram, E is closest to
a. / / b. / / c. / / d. /2.If is an obtuse angle in a triangle, and sin = 0.621, then is approximately
a. / 141.6 / b. / 179.9892 / c. / 38.4 / d. / 128.43.Which trigonometric ratio of angle S is easiest to determine x in the following diagram?
a. / sin S / b. / cos S / c. / tan S4.Which equation would be used to determine x in the following diagram?
a. / / c. /b. / / d. /
5.If where 0 360, then
a. / = -60 or = -120 / c. / = 120 or = 240b. / = 240 or = 300 / d. / = 150 or = 210
6.Complete the identity
a. / 2 / b. / / c. / / d. / + 17.Complete the identity
a. / cos x / b. / / c. / / d. /12 Sequences & Series
1.This diagram is used to illustrate how to determine...
a. / the first differences in an arithmetic sequence / c. / the sum of a geometric seriesb. / the 1st differences in a geometric sequence / d. / the sum of an arithmetic series
2.This diagram is used to illustrate how to determine ...
a. / the first differences in an arithmetic sequence / c. / the 1st differences in a geometric sequenceb. / the sum of an arithmetic series / d. / the sum of a geometric series
3.This diagram is used to illustrate how to determine ...
a. / the sum of a geometric series / c. / the first differences in an arithmetic sequenceb. / the sum of an arithmetic series / d. / the 1st differences in a geometric sequence
4.The diagram below is used to illustrate how to determine
a. / the 1st differences in a geometric sequence / c. / the sum of an arithmetic seriesb. / the sum of a geometric series / d. / the first differences in an arithmetic sequence
5.If and , then is equal to
a. / 2905653689 / b. / 4194282 / c. / 6973568969 / d. / 5242896.If and , then the first term that is greater than 10000 is
a. / / b. / / c. / / d. /7.The sum of the first 50 terms of the series with general term is closest to
a. / 54.41441513 / b. / 54.37202002 / c. / 54.49920534 / d. / 54.397457088.If and for all natural numbers , then is equal to
a. / 34 / b. / 33 / c. / 38 / d. / 469.How many terms are there in the following series? 3 + 8 + 13 + ... + 408
a. / 82 / b. / 81 / c. / 135 / d. / 13410.How many terms are there in the following series? 2 + 6 + 18 + ... + 1458
a. / 10 / b. / 413 / c. / 243 / d. / 711.Which expression represents the sum of the first 30 terms of the series 12 + 6 + 3 + ...?
a. / / b. / / c. / / d. /12.Which expression represents the 30th term in the series 12 + 6 + 3 + ...?
a. / / b. / / c. / / d. /13.Which expression represents the sum of the first 31 terms of the series 2 + 6 +10+ ...?
a. / / c. /b. / / d. /
14.Which expression represents the 31st term of the series 2 + 6 +10+ ...?
a. / / c. /b. / / d. /
15.A part of two consecutive rows of Pascal’s Triangle are shown below. Which of the following is correct?
a. / / c. /b. / / d. /
13 Financial Applications
1.Scott wants to have $100 000 in 20 years. How much would he have to deposit at the end of each month for the next 20 years if the account pays 6.3%/a compounded annually?
a. / $213.24 / b. / $255.41 / c. / $234.80 / d. / $230.452.Rebecca’s family bought a house and got a mortgage for $120 000. How much are the monthly payments if they hope to pay it off in 15 years and the interest rate is 6.5%/a compounded annually?
a. / $1033.10 / b. / $1036.61 / c. / $1036.09 / d. / $1037.743.Johann bought a car worth $18 900 (including all taxes, etc.). He figured he could afford to make monthly payments of $450. If the bank charges 9.7%/a compounded annually, the number of years it will take him to pay off his debt is closest to
a. / 4.25 years / b. / 4.33 years / c. / 4.17 years / d. / 4.42 years4.The present value of monthly payments of $100 for 10 years at 18%/a compounded monthly is...
a. /b. /
c. /
d. /
5.The total future value (1 year after the last payment) of annual payments of $100 for 10 years earning18%/a compounded annually is...
a. /b. /
c. /
d. /
3U Mastery Answers
01 / 13B / 26B / 4D / 03 / 6A / 5B / 9A / 9A / 6A / 11A / 11 / 5D / 131A / 14A / 27C / 5B / 1D / 7A / 6A / 10D / 10B / 7C / 12A / 1B / 6D / 1A
2B / 15A / 28B / 6A / 2A / 8D / 7D / 11B / 11A / 09 / 10 / 2A / 7C / 2A
3B / 16B / 29A / 7A / 3A / 9D / 8B / 12A / 12D / 1A / 1A / 3B / 8C / 3A
4A / 17C / 30B / 8A / 4A / 10B / 06 / 07 / 13A / 2B / 2A / 4D / 9A / 4A
5D / 18C / 31C / 9A / 5A / 11A / 1A / 1A / 14D / 3B / 3A / 5B / 10D / 5D
6C / 19A / 32A / 10A / 6A / 12A / 2C / 2A / 15C / 4A / 4A / 6D / 11D
7A / 20C / 33B / 11C / 04 / 13A / 3A / 3A / 08 / 5A / 5A / 7B / 12B
8D / 21C / 34B / 12A / 1A / 05 / 4A / 4C / 1A / 6B / 6A / 12 / 13B
9D / 22B / 02 / 13B / 2A / 1A / 5A / 5C / 2A / 7B / 7A / 1D / 14C
10A / 23C / 1A / 14B / 3B / 2A / 6A / 6C / 3A / 8C / 8A / 2C / 15A
11C / 24A / 2C / 15B / 4B / 3B / 7A / 7A / 4A / 9C / 9A / 3C
12D / 25A / 3C / 5A / 4B / 8C / 8B / 5B / 10A / 10C / 4B
Mastery Table for 3U
Unit / Topic / # of available questions / test 1 / test 2 / test 3 / test 4 / test 5 / test 6 / test 7 / test 8 / test 9 / test 101 / Review of Algebra / 164 / 4 / 4 / 3 / 1 / 1 / 1 / 1 / 1 / 1 / 1
2 / Review of Relationships / 82 / 3 / 3 / 2 / 1 / 1 / 1 / 1 / 1 / 1 / 1
3 / Calculator Review / 24 / 2 / 2 / 1 / 1 / 1 / 1 / 1 / 1 / 1 / 1
4 / Functions / 57 / 13 / 13 / 7 / 3 / 1 / 1 / 1 / 1 / 1 / 1
5 / Sequences Discrete Functions & Transformations / 32 / 8 / 8 / 5 / 2 / 2 / 1 / 1 / 1 / 1 / 1
6 / Quadratic and Radical Functions / 51 / 0 / 0 / 12 / 7 / 2 / 1 / 1 / 1 / 1 / 2
7 / Rational Functions / 60 / 0 / 0 / 0 / 15 / 6 / 3 / 2 / 2 / 2 / 3
8 / Arithmetic and Geometric Sequences / 24 / 0 / 0 / 0 / 0 / 4 / 4 / 3 / 1 / 1 / 1
9 / Exponential Functions / 54 / 0 / 0 / 0 / 0 / 12 / 7 / 4 / 2 / 3 / 3
10 / Trigonometric Functions / 40 / 0 / 0 / 0 / 0 / 0 / 10 / 8 / 3 / 3 / 3
11 / Trigonometry / 30 / 0 / 0 / 0 / 0 / 0 / 0 / 7 / 4 / 3 / 2
12 / Sequences and Series / 48 / 0 / 0 / 0 / 0 / 0 / 0 / 0 / 12 / 8 / 8
13 / Financial Applications / 16 / 0 / 0 / 0 / 0 / 0 / 0 / 0 / 0 / 4 / 3
Totals / 685 / 30 / 30 / 30 / 30 / 30 / 30 / 30 / 30 / 30 / 30
Academic Scale for Mastery Test out of 30
Mark out of 30 / Level / % equivalent
30 / 4++ / 100
29 / 4+ / 95
28 / 4 / 89
27 / 4- / 84
26 / 3 / 75
25 / 2+ / 68
24 / 2 / 65
23 / 1+ / 58
22 / 1 / 55
19-21 / 0+ / 45
17-18 / 0 / 35
11-16 / 0- / 25
0-10 / 0-- / 0