G7 MathsTHT 1 Paper 2.docx

**A. Choose the correct answer. (1 mark each)** 1. Complete the sentences about quadrilaterals using words from the box below. parallelogram square trapezium --------------- --------- -------- ------ ----------- rhombus kite a. A \_\_...

**A. Choose the correct answer. (1 mark each)** 1. Complete the sentences about quadrilaterals using words from the box below. parallelogram square trapezium --------------- --------- -------- ------ ----------- rhombus kite a. A \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ has 4 right angles and all the sides are equal in length. b. A \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ has diagonals equal in length and bisect each other at right angles. c. A \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ has diagonals that are unequal in length, but one diagonal bisects the other at right angles d. A square, a rhombus, and a rectangle are also \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_s. e. A \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ has only one pair of parallel sides. 2. Use words from the list of different data collection methods to complete the sentences. interview observation opinion polls ----------- --------------- ------------- ------- --------------- questionnaire tests a. A teacher wanting to see how much her students have understood this term should use \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_. b. A gym owner who wants to know which exercise classes are most popular should use \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_. c. An \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ is a good method to use if you want to study people working in their own environment without them knowing that you are collecting data. d. Use \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ to find out how popular certain clubs are in schools such as the football club or chess club. e. Jennie wants to open a new takeaway restaurant. She must use \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ to find out people's favorite kind of takeaway. 3. Choose the sampling method described in the items below. cluster sampling quota sampling random sampling ------------------ --------------------- ---------------- --------------------- ----------------- stratified sampling systematic sampling a. Split the population into groups and instead of sampling from sampling individuals from each group then randomly select a few of the groups and survey everyone in the group. \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ b. Split the population into groups and pick 10 people from each. \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ c. The sample size is proportional to the size of population. \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ d. Using lottery, random number generator, etc. \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ e. Using every 20^th^ person in the list. \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ 4. Complete the sentences about circles using words from the box below. ----------------------------------------------------------------------------------- circumference diameter radius --------------- ------------------------ ---------- ---------------------- -------- \ 2[πr]{.math.inline} [*π*]{.math.display}\ ----------------------------------------------------------------------------------- a. The \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ of a circle is the length of a line drawn from the center to a point on the circle. b. The \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ of a circle is the length of a line passing through the center from one point on the circle to another. c. The \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ of a circle is the distance around it. d. The formula for circumference is \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_. e. The mathematical constant representing the ratio of a circle\'s circumference to its diameter is \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_. **B. Give the correct answer. (2 marks each)** 5. The diagram shows a rectangle (cm). If [*r* = 3]{.math.inline}, Find the: 6. Construct: a. a line PDQ = 8cm. Bisect the line b. an angle of 60° using a protractor bisect it to make an angle of 30°. +-----------------------------------+-----------------------------------+ | a. **line** | b. **angle** | +-----------------------------------+-----------------------------------+ 7. Given the plan, front and side elevation, draw the object on the isometric grid below.  8. A 3D shape has 3 faces, 0 vertices, and 2 edges. Is it a polyhedron? Justify your answer. You may illustrate if necessary. \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ 9. What is the area of the parallelogram? Show your working.  area = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ 10. Find the height of this trapezium given area = [60*m*^2^.]{.math.inline} Show your working. height = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ 11. Find the volume of this triangular prism. Show your working.  volume = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ 12. What is the surface area of this cube. Show your working. surface area = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ 13. What is the area of this shape? Show your working.  area = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ 14. The area of Townsville is about 45 square miles approximately how many square kilometers is this? Show your working. area = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ **C. Give the correct answer. (5 marks each)** 15. Find the surface area of this triangular prism. Show your working. surface area = \_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_ 16. **Construct these triangles and label completely.** a. **Triangle ABC where AB equals 3 cm, angle BAC = 55° and angle ABC = 40°.** b. **Triangle DEF where DE = 3 cm, DF = 4 cm and angle EDF = 70°.** c. **Triangle ABC with sides 3 cm, 4 cm, and 5 cm.** d. **Triangle RST where RS = 5 cm and the hypotenuse ST = 7 cm.** **a)** **b)** -------- -------- **c)** **d)** END OF TEST