Mathematical Applications and Computations IV Honours
MATH 4009F

Fall 2016
(a)
1.
1.44
48
p = 1.775
Note: Award (M1) for correctly substituted equation for p.
7
1.750,
4
= 1.75
(C2)
(b)
(i)
(ii)
(c)
x = 2, y = 1, z = 50
99
p = 1.98 50
(A1)(ft)
Note: Follow through from part (b)(i), irrespective of whether
working is show
Mathematical Applications and Computations IV Honours
MATH 4009F

Fall 2016
(a)
1.
q = 25 (4 + 3 + 8 + 4 + 1)
Note: Award (M1) for subtraction from 25 of all values from the
table.
=5
(b)
(M1)
(A1)
(i)
(ii)
1.39
2.2 (A2)(ft)
Note: Award (M1) for use of mean formula with correct
substitution.
Follow through from part (a), irrespec
Mathematical Applications and Computations IV Honours
MATH 4009F

Fall 2016
1.
The table below shows the frequency distribution of the number of dental fillings for a group of
25 children.
Number of fillings
1
2
3
4
5
Frequency
(a)
0
4
3
8
q
4
1
Find the value of q.
(2)
(b)
Use your graphic display calculator to find
(i)
the mean
Mathematical Applications and Computations IV Honours
MATH 4009F

Fall 2016
y
1.
Given p = x z , x = 1.775, y = 1.44 and z = 48,
(a)
calculate the value of p.
(2)
Barry first writes x, y and z correct to one significant figure and then uses these values to
estimate the value of p.
(b)
(i)
(ii)
Write down x, y and z each correct t
Mathematical Applications and Computations IV Honours
MATH 4009F

Fall 2016
1.
(a)
List the elements of the set A = cfw_x4 x 2, x is an integer.
(1)
A number is chosen at random from set A.
Write down the probability that the number chosen is
(b)
a negative integer;
(2)
(c)
a positive even integer;
(1)
(d)
an odd integer less tha
Mathematical Applications and Computations IV Honours
MATH 4009F

Fall 2016
1.
(a)
x=
4
2
(M1)
x=2
(A1)
OR
dy
= 4 2x
dx
x=2
(M1)
(A1)
(2, 7) or x = 2, y = 7
(A1) (C3)
Notes: Award (M1)(A1)(A0) for 2, 7 without parentheses.
(b)
(i)
C labelled in correct position on graph
(ii)
3 = 3 + 4x x
Note: Award (M1) for correct substitution
Mathematical Applications and Computations IV Honours
MATH 4009F

Fall 2016
1.
(a)
(b)
(c)
(d)
4, 3, 2, 1, 0, 1, 2
(C1)
Note: Award (A1) for correct numbers, do not penalise if
braces, brackets or parentheses seen.
(A1)
4
7 (0.571, 57.1%)
(A1)(ft)(A1)(ft)
(C2)
Notes: Award (A1)(ft) for numerator, (A1)(ft) for denominator.
Follow
Mathematical Applications and Computations IV Honours
MATH 4009F

Fall 2016
1.
(a)
1 2
x x
2 4
(A1) (C1)
Note: Accept an equivalent, unsimplified expression (i.e.
1
2 x).
4
(b)
1
(A1)
(c)
1
x=1
2
(M1)
x=2
(C1)
(A1)(ft)
Notes: Award (M1)(A0) for coordinate pair ( 2, 1) seen with
or without working.
Follow through from their answ
Mathematical Applications and Computations IV Honours
MATH 4009F

Fall 2016
1.
2
The graph of the quadratic function f(x) = 3 + 4x x intersects the yaxis at point A and has its
vertex at point B.
(a)
Find the coordinates of B.
(3)
Another point, C, which lies on the graph of y = f(x) has the same ycoordinate as A.
(b)
(i)
(ii)
Mathematical Applications and Computations IV Honours
MATH 4009F

Fall 2016
(a) x =
x = 2 (A1)
1.
4
2
(M1)
OR
dy
dx = 4 2x (M1)
x=2
(A1)
(2, 7) or x = 2, y = 7
(C3)
Notes: Award (M1)(A1)(A0) for 2, 7 without parentheses.
(b)
(i)
(ii)
C labelled in correct position on graph
(C1)
(A1)
(A1)
2
3 = 3 + 4x x
(M1)
Note: Award (M1) for