SCIENCE 30.03.19 NAME Teacher Marina GROUP E3 Lesson 25. Math revision. Dear all! This is your test ☼ 1. Solve the following problems. Do not forget to simplify the resulting fraction! 1 SCIENCE 30.03.19 NAME Teacher Marina GROUP E3 2. Classify each angle. 2 SCIENCE 30.03.19 NAME Teacher Marina GROUP E3 3. Graph shows correlation between x and y. a. If x=2 y=? ___________________________________________________ b. If x=6 y=? ___________________________________________________ c. Write down the general rule you can use to calculate y if you know x ______________________________________________________________ d. If x=13 y=? __________________________________________________ 3 SCIENCE 30.03.19 NAME Teacher Marina GROUP E3 4. Express each phrase as a rate and as a unit rate. First one has been done for you! 4 SCIENCE 30.03.19 NAME Teacher Marina GROUP E3 5. Use the table below to figure out ratio if elm trees to all park trees. Write it down and plot the graph. Ratio: ________________________________________________________ City parks Elm Trees Planted Total Trees Planted South side 14 168 Eastern 16 192 West End 22 264 North Ridge 8 96 5 SCIENCE 30.03.19 NAME Teacher Marina GROUP E3 6. Please solve the word problems below. Use your knowledge of proportions and do not use any formulas with the π number! a) The perimeter of circle is 16 cm, you need to find arc length of a sector with angle of 45°. ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ b) The perimeter of circle is 30 cm, and the arc length is 3 cm. You need to find the angle of a sector. ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ c) The area of circle is 48 cm2, you need to find the area of a sector with angle of 120°. ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ d) The arc length of a sector with angle 45° is 18 cm. You need to find arc length of a sector with angle 30° ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ e) The area of a sector with angle 60° is 36 cm2. You need to the area of a sector with angle 90° ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ 6 SCIENCE 30.03.19 NAME Teacher Marina GROUP E3 7. Bonus task! Figure out which slice of pizza is the better buy (cheaper per unit of area). (Hint: use π to calculate area of the whole pizza). ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ ___________________________________________________________ 7