Changing the Subject - Corbettmaths PDF

Name: Exam Style Questions Changing the Subject Equipment needed: Pen Guidance 1. Read each question carefully before you begin answering it. 2. Check your answers seem right. 3. Always show your workings Video Tutorial www.corbettmaths.com/content...

Name: Exam Style Questions Changing the Subject Equipment needed: Pen Guidance 1. Read each question carefully before you begin answering it. 2. Check your answers seem right. 3. Always show your workings Video Tutorial www.corbettmaths.com/contents Video 7 Answers and Video Solutions © Corbettmaths 2022 1. Make d the subject of e =d+5 d =.......................... (1) w 2. Rearrange t= to make w the subject. 2 w =.......................... (1) 3. Rearrange this formula to make c the subject a =c−w Circle your answer. c =a−w c =w−a c = aw c =a+w (1) © Corbettmaths 2022 4. Make x the subject of y = 3x Circle your answer. y 3 x =y+3 x= x= x =y−3 3 y (1) 5. Make w the subject of the formula y = 3w − a w =.......................... (2) 6. Make w the subject of the formula w s= a w =.......................... (1) © Corbettmaths 2022 7. v = u + 10t (a) Work out the value of v when u = 4 and t = 3 v =.......................... (2) (b) Make u the subject of the formula v = u + 10t u =.......................... (2) (c) Make t the subject of the formula v = u + 10t t =.......................... (2) © Corbettmaths 2022 8. Given that x+y =1 What does y equal? y =.......................... (1) k 9. Rearrange y= to make x the subject x x =.......................... (2) 10. Isaac is rearranging m = 3t − 8 to make t the subject. Explain what mistake Isaac has made. …………………………………………………………………………………………… …………………………………………………………………………………………… (1) © Corbettmaths 2022 11. Here is a rectangle. P is the perimeter of the rectangle. (a) Show that P = 6x + 2 (2) (b) Express x in terms of P x =.......................... (2) © Corbettmaths 2022 12. Make m the subject of the formula hm s= 4 m =.......................... (2) 13. Express v in terms of t v t= +1 4 v =.......................... (2) © Corbettmaths 2022 14. Make d the subject of the formula c = 4d + 5 d =.......................... (2) 15. Make g the subject of the formula: a= g g =.......................... (2) © Corbettmaths 2022 16. Make y the subject of the formula: k = y3 + a y =.......................... (2) 17. C = 4x + 5y (a) Find the value of C when x = 9 and y = −2 C =.......................... (2) (b) Make x the subject of the formula x =.......................... (2) (c) Find the value of x when C = 51 and y = 3 x =.......................... (2) © Corbettmaths 2022 18. Given that 3y = 2x (a) Write y in terms of x y =.......................... (2) (b) Write x in terms of y x =.......................... (2) 19. Rearrange 2x − y + 1 = 0 to make x the subject x =.......................... (2) © Corbettmaths 2022 20. Rearrange 8 + c = 3 − a to make a the subject. a =.......................... (2) w−2 21. Make w the subject of a= 6 w =.......................... (2) © Corbettmaths 2022 22. Rearrange the formula r= 3w + t to make t the subject t =.......................... (2) 23. Rosie writes down Pythagoras’ Theorem, a2 + b2 = c2 Make a the subject a =.......................... (2) π 24. Make p the subject of ac = p p =.......................... (2) © Corbettmaths 2022 25. Rearrange v 2 = u 2 + 2as to make s the subject. s =.......................... (2) 26. Rearrange w= 3 5y − 8 to make y the subject. y =.......................... (3) © Corbettmaths 2022