Basic Mathematics

Questions & Answers

1. (non-calculator) The dimensions of a cylindrical greenhouse at a garden centre are shown, 6m Calculate the volume of the greenhouse. [Take = 3.14] 10m 3


1. Determine the area of this composite figure, to the nearest square feet and square metres. [8 MARKS]


- 4. A set designer for a play makes a whale tail out of a semicircle with an isosceles triangle cut out of it. What is the area of the whale tail? [ 5 mark] 5. A decorator is wallpapering a wall with a circular window of diameter 1.00 m. What is the area of the wall in square feet? (1 m - 3.2808 feet) [ 6 marks] 26mZ 6. A furniture designer builds a trapezoidal desk with a semicircular cutout. What is the area of the desk?


7. Describe the figures that make up this composite figure. The curve is a semicircle. [1 mark] 8. Determine the area of this composite figure. [ 4 marks] 9. A driveway 16 feet wide is shaped like a semicircle. Determine the area of the driveway. [ 6marks


1) John made a nut mixture that contains 90% peanuts by mixing 5 oz. of mixed nuts with 20 oz. of peanuts. The mixed nuts contained what percent peanuts?


2) Farmer Abhasra's Produce Stand sells 16.8 kg bags of mixed nuts that contain 40% peanuts. To make her product she combines Brand A mixed nuts which contain 55% peanuts and Brand B mixed nuts which contain 35% peanuts. How much of each does she need to use?


Show All Work Chapter 5: Model with a venn diagram and find the greatest common factor and least common multiple for the following. 1. x¹y²; x³y 2. a³b³; a²b


Q4 The line 3x - 4y = 8 meets the y-axis at A. The point C has coordinates (-2, 9). The line through C perpendicular to 3x - 4y = 8 meets it at B. Calculate the area of the triangle ABC. (8 marks)


Q.8) What is the present value of an annuity that pays $700 per month for 15 years if money is worth 7.5% compounded monthly?


Examine your factor lattice and identify the greatest common factor for: 5. x²y² and xy³ 6. x5 and x³y³


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