(1) Write down all the integers (1) Express 90 in the form a b , which satisfy the inequality where a and b are integers –2 < n < 3. greater than 1. (2) A sequence is described by this (2) Simplify the expression iterative formula: (1 + 3 )(1 + 5 ) – 15 un+1 = un + 6 u1 = 4 (3) Multiply out and simplify: Work out the 5th term of the (a) ( 7 – 2)( 7 + 1) sequence. (b) (3 2 – 4)(3 2 + 4) (3) a = 5, b = –6 and c = –3 Work out the value of b2 – 4ac. (c) ( 5 – 2 )2
24 (4) Rationalise the denominators in
(4) Solve the equation =3 2x + 1 the following. Simplify your answers where possible. (5) p is an acute angle. 8 1 cos (p) = 0.25. (a) (b) 6 4 2 Work out the value of p, correct 1 4 5 to 1 decimal place. (c) (d) 3 + 7 7 – 3 5
The focus for today’s session is …
Similar shapes
Reminder Practice Questions
The two triangles in this diagram are (1) These two triangles are similar. similar. Equal angles are marked. D 7 cm 42 cm ∠BAC = ∠CED 10 cm (alternate) x 13 cm 15 cm ∠ABC = ∠CDE 12 cm (alternate) A C Calculate the length marked x. ∠ACB = ∠DCE E (vert. opposite) (2) Work out the lengths a, b and c in 6 cm B these diagrams. (Parallel lines are indicated with arrows.) Both triangles contain the same angles. They have the same shape 45 but different size. 14 cm 10 cm 10 c 15 Scale factor = = 2.5 b 63 6 a 2 cm 35 CD = 13 cm, so BC = 13 = 5.6 cm lengths in 2.5 15 cm cm