Foundations of Mathematics 10

~SUBMISSION 7~
Be sure to show your WORK for all circled questions
Round to three decimal places:
1. sin 56 _________
2. tan 18 _________
3. cos 82 _________
Find x (round to nearest whole number)
4. sin x =
11
9
_________
5. tan x = 0. 459 _________
6. cos x = 0. 366 _________
7. If tan x = .593, then sin x = ? (Round to
three decimal places). _________
Solve for x (Round to nearest whole number)
8. Tan 64 =
23
x _________
9. Cos 54 =
x
76.4
_________
10. Sin x = 0.5 _________
11. In ∆ABC, A is 34 degrees, B is 90
degrees, and side AC is 9 cm. Find the
length of side AB. (Round to nearest tenth)
_________
12. In ∆DEF, D is 90 degrees, DE = 5 and
EF = 7. Find the size of DEF . (Round to
nearest whole number) _________
13. How many feet from the base of a house
must a ladder 40 feet long be placed so that
the top of the ladder will reach a point on the
house 36 feet above the ground? (Round to 1
decimal place) (2 marks)
_________
14. In the following figure, the angle of elevation
from A to E is 54 degrees. Find the distance
CE and the area of entire figure AECB.
(Round both to nearest whole number—DO
NOT round answers until END OF question!))
a. (2 marks) CE = ________
b. (2 marks) Area of AECB = ________
15. In the figure below, find the value of CD
(Round to nearest whole number – 2 marks))
CD = ______
UPLOAD in MOODLE
I verify that this Submission page has been completed by ______________________________ without assistance.
Parent or Supervisor (Print Name) ___________________________ (Signature) ________________________
BONUS QUESTIONS (Optional) – 5 marks
1 mark each. WORK MUST BE SHOWN (unless instructed otherwise!)
ATTACH EXTRA WORK PAGES IF SPACE BELOW IS INSUFFICIENT
Question 1 (No work needed)
In the correctly worked addition sum at right, A,B,C and D represent different digits, and
all the digits in the sum are different. What is the sum of A, B, C and D?
Answer __________
Question 2
What is the equation of a line (in slope intercept form) which is a reflection of line y = 3x + 2 in the xaxis?
Answer __________
Question 3 (No work required)
Draw the figure that best completes the series
Answer
Question 4 (Explain how you arrived at your answer!)
Which number comes next in this series?
2, 3, 5, 7, 11, 13, ____
Answer __________
Question 5
This semicircle has an area of 17.6714. What is the area of the square inscribed inside the
semicircle? (Round to nearest whole number)
Answer __________
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