BECE Basic Science 2023 Theory — Question 2
Question 2 of 2 from the Basic Education Certificate Examination (Junior WAEC) (BECE) Basic Science 2023 Theory paper, with the correct answer and a full explanation.
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TECHNICAL DRAWING (Paper IV) Instructions: Answer all questions. Use all the necessary drawing instruments and materials. All dimensions are in millimetres. Credit will be awarded for good draughtsmanship. Show all the construction lines. 1a. Draw on the sheet provided, the borderlines and a title block with the following information: (a) Name (b) School (c) Examination number (d) Scale used (e) Date. 1b. Use the following steps to construct a triangle: (i) Draw line AB = 70mm. (ii) Construct angle 60° at A. (iii) Draw line AC = 80 mm at 60° to line AB. (iv) Draw line CB. (v) Measure CB.
Model answer
1a. Draw a border about 10 mm inside the edge of the sheet. Draw the title block along the bottom of the border and write in it: Name, School, Examination number, Scale used (for example 1:1) and Date. 1b. Construction: (i) Draw AB = 70 mm with a ruler and mark A and B. (ii) With the compass point at A, draw an arc cutting AB at P. With the same radius and the point at P, draw an arc cutting the first arc at Q. Join A to Q and extend it. Angle QAB = 60°. (iii) On line AQ measure AC = 80 mm. (iv) Join C to B. (v) Measure CB with a ruler. CB = 75.5 mm (checked by calculation: CB² = 70² + 80² − 2 × 70 × 80 × cos 60° = 4900 + 6400 − 5600 = 5700, so CB ≈ 75.5 mm).
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