FMSP Year 10 Maths Feast 2018 Round 4 - Hexagrid Column 1

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Kristin Ross
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1 Round 4 - Hexagrid Column 1 Question A: Question B: a = , what is the value of a? 8 b A stick of length 15 cm is resting inside a cylindrical flask (see diagram). The height of the flask is 8 cm and its radius is 3 cm. 8 cm b is the length of stick above the cylinder. What is the value of b in centimetres. Question C: c + 14 = 1 c, what is the value of c? 4 Question D: d the number of squares in the diagram. What is the value of d?

2 Round 4 - Hexagrid Column 2 Question E: [You need to know the value of a from question A] 2 e + ae+ a= e (3 ) 0, what is the value of? Question F: [You need to know the value of a from question A and b from question B] Given that the two rectangles are similar, find the value of length f. a b a f Question G: [You need to know the value of c from question C and d from question D] g = d c c (10+ 6 c) 10 10, what is the value of g, written as a decimal? Question H: [You need to know the value of d from question D] d red centimetre cubes are glued together to make a cuboid. 2 The surface area of red cuboid is 34 cm. The red cuboid is then dipped in blue paint, so all faces of the cuboid are covered in blue paint. h cubes now have blue paint on three faces. What is the value of h?

3 Round 4 - Hexagrid Column 3 Question J: [You need to know the value of e from question E] Given that t = e, t = j and t = et + 4,find the value of j. 1 e n+ 1 n Question K: [You need to know the value of f from question F] o k is the size of an angle in the kite (see diagram). What is the value of k? 10f o k o Question M: [You need to know the value of g from question G] Mary is playing a game. The probability that she wins the game is 5 g. Mary plays two games. m is the probability that she wins at least one game. What is the value of m? Question N: [You need to know the value of h from question H] There are h rabbits in a hutch. Only one is male. The average weight of a rabbit in the hutch is ( ) kg. The male rabbit weighs 1.6 kg. n is the average weight of the female rabbits in kilograms What is the value of n? h 3

4 Round 4 - Hexagrid Column 4 Question P: [You need to know the value of j from question J] Shape 1 Shape 2 Shape 3 The diagram shows part of a sequence of shapes. The shapes are made from hexagons with a dot at each corner and one in the centre. Shape p has j dots. What is the value of p? Question Q: [You need to know the value of k from question K] q Given that k = q 3,find the value of q. Question R: [You need to know the value of m from question M] A ball is dropped from a height of 5 metres. After each bounce it rises to m times the previous height. After the second bounce it rises to a height of r metres. What is the value of r, to the nearest centimetre? Question S: [You need to know the value of n from question N. n is a decimal, which you will need to interpret as a time. For example 3.15 would be 3:15 pm] A train leaves Stowmarket station at 2.00 pm. The train arrives at Needham Market station at n pm. The distance by rail between the two stations is 6 km. The average speed of the train is s kilometres per hour. What is the value of s?

5 Round 4 - Hexagrid Column 5 Question T: [You need to know the value of p from question P and q from question Q] The line T passes through the points (0, q) and ( q, p). t is the gradient of the linet. What is the value of t? (0, q) (q, p) Question U: [You need to know the value of q from question Q] 3- qx < 11 implies that u < x what is the value of u? Question V: [You need to know the value of r from question R] A rod of length v cm is to be machined into 10 bolts. Each bolt is r cm long, measured to the nearest hundredth of a centimetre. Each cut to separate a bolt wastes 0.1 cm of the rod, measured to the nearest tenth of a centimetre. What minimum value of v (length of rod) is required to ensure that 10 bolts can be made. Question W: [You need to know the value of r from question R and s from question S] int(x) means the integer (whole) part of x. For example: int (6.89) = 6. o s The sector has an angle of s and a radius of int( ). r The length of the arc of the sector AB is wπ. What is the value of w? S o

MEP Practice Book ES6

MEP Practice Book ES6 6 Number System 6.5 Estimating Answers 1. Express each of the following correct to significant figures: 96.6 16.5 1.90 5 (d) 0.00 681 (e) 50.9 (f) 0.000 60 8 (g) 0.00 71 (h) 5.98 (i) 6.98. Write each of