2. y is inversely proportional to x. F When y = 2, x = 5. (2) Work out an equation connecting y and x. 3. w is directly proportional to y F w is inversely proportional to x2 a) When y = 4, w = 14.. Work out the value of w when y = 9 (2) b) When x = 2, w = 5. Work out the value of w when x = 10 (2) c) Which graph shows the relationship between y and x? (1) TOTAL /10 Sequences The term of a sequence is 2n + 1. 1. nth F – The nth term of a different sequence is 3n 1. (3) Work out the three numbers that are in both sequences and between 20 and 40 The nth term of a sequence is n2 + 25 2. a) Work out the first three terms of the sequence. S (2) b) How many terms in the sequence are less than 100? (1) 3. Find the nth term for this sequence F (2) 5, 9, 15, 23, 33 , …… 4. Each term of a Fibonacci sequence is formed by adding the previous two terms. F …… 1, 1, 2, 3, 5, 8, 13, 21, A Fibonacci sequence starts a, b, a + b, … Work out the 5th term of this Fibonacci sequence. (2) TOTAL /10 Probability 1. Samples are taken from a production line. F 500 items are checked in each sample. The relative frequencies of the number of faulty items in 5 samples are shown. Work out the range of the number of faulty items in the 5 samples. (3) 2. The dice is rolled twice. S a) Copy and complete the tree diagram.
2. F y is inversely proportional to x. When y = 2, x = 5. Work out an equation connecting y and x. (2) 3. F w is directly proportional to y w is inversely proportional to x2 a) When y = 4, w = 14.. Work out the value of w when y = 9 b) When x = 2, w = 5. Work out the value of w when x = 10 c) Which graph shows the relationship between y and x? (2) (2) (1) TOTAL /10 Sequences 1. F The nth term of a sequence is 2n + 1. The nth term of a different sequence is 3n – 1. Work out the three numbers that are in both sequences and between 20 and 40 (3) 2. S The nth term of a sequence is n2 + 25 a) Work out the first three terms of the sequence. b) How many terms in the sequence are less than 100? (2) (1) 3. F Find the nth term for this sequence 5, 9, 15, 23, 33 , …… (2) 4. F Each term of a Fibonacci sequence is formed by adding the previous two terms. 1, 1, 2, 3, 5, 8, 13, 21, …… A Fibonacci sequence starts a, b, a + b, … Work out the 5th term of this Fibonacci sequence. (2) TOTAL /10 Probability 1. F Samples are taken from a production line. 500 items are checked in each sample. The relative frequencies of the number of faulty items in 5 samples are shown. Work out the range of the number of faulty items in the 5 samples. (3) 2. S The dice is rolled twice. a) Copy and complete the tree diagram.
Y10_Enhanced_Review_Homework_Test_2.docx