devozeeba 5.1 The following number pattern has a constant second difference. 5.1.1 Write down the value of the constant second difference. (1) 5.1.2 Determine an expression for the n-th term of the number pattern. (4) 5.1.3 The first forty terms of the number pattern are all prime numbers. Determine the forty-first term and show that it … Read more
The solid in the diagram is made up of a rightprism with square base, and a right pyramid ontop of the prism. The length of the prism is 12cm, the side of the base is 6 cm and the heightof the pyramid is 8 cm. 12.1 Calculate the slant height of the triangular face of … Read more
The first term of a linear number pattern is 92 and the constant difference is -4.4.1 Write down the values of the second and third terms of the number pattern. (1) 4.2 Determine an expression for the n-th term of the number pattern. (2) 4.3 Determine the value of the eighteenth term. (2) 4.4 If … Read more
11.1 Complete: Opposite angles of a cyclic quadrilateral … (1) 11.2 In the figure, ABCD is a cyclic quadrilateral. AB ║ DC in circle with centre O. BC and AD produced meet at M. D3 = 𝑥 11.2.1 Show that MC = MD. (5) 11.2.2 If D3 = 𝑥, determine the value of M̂ , … Read more
LANGUAGE AND EDITING SKILLS 5.1 Read the following passage (TEXT F), which contains some deliberate errors, andanswer the set questions. TEXT F 5.1.1 Correct the SINGLE error in each of the following sentences: (a) You can’t believe how quick you’ve climbed this high. (1) (b) You take a deep breath and take in the view. … Read more
2.1.1 Write down the number that appeared on Mr Mambo’s running shirt. (2) 2.1.2 Convert Mr Mambo’s running time to hours. Give your answer to the nearest hour. (3) 2.1.3 Calculate Mr Mambo’s average speed in kilometres per hour. You may use the formula: 2.2 Use ANNEXURE A to answer the following questions. 2.2.1 Write … Read more
O is the centre of the bigger circle. O lies on the circumference of the smaller circle. OWVU are points on the circumference of the smaller circle. TSVU are points on the circumference of the bigger circle. 10.1 Name FOUR other angles each equal to 𝑥 with reasons. (8) 10.2 Determine the size of Ŵ2 … Read more
A, B, C and D are points on the circumference of the circle in the diagram below. ECF is atangent at C, B1 = B2 . 10.1 If B1 = 𝑥, find, with reasons, TWO other angles equal to 𝑥. (4) 10.2 Hence, show that DC bisects AĈF. (2) [6]
QUESTION 1
2.1 Simplify fully , WITHOUT using a calculator: (4) 2.2 Solve for 𝑥, WITHOUT using a calculator: 2.2.1 (3) 2.2.2 (4) 2.3 If and , determine the value of ( 𝑥 + 𝑦 )2 (3) 2.4 Show WITHOUT, using a calculator, that (4) [18]