SGSS 4N Prelim 2023 P1

[Turn over Mathematical Formulae Compound interest Total amount = 1 100 n rP+ Mensuration Curved surface area of a cone = πrl Surface area of a sphere = 4πr2 Volume of a cone = 1 3 πr2h Volume of a sphere = 4 3 πr3 Area of triangle ABC = 1 2 ab sin C Arc length = rθ, where θ is in radians Sector area = 1 2 r2θ, where θ is in radians Trigonometry sin sin sin a b c A B C== a2 = b2 + c2 – 2bc cos A Statistics Mean = fx f   Standard deviation = 22fx fx ff  − 

2 SGSS/MathP1/4NA4NT(OOS)/Prelim/2023 Answer all the questions. 1 Solve 4( 5) 3 2xx− = + . Answer x = …………………………… [2] __________________________________________________________________________________ 2 Factorise completely 8 10 12 15ab ay bx xy+ − − . Answer ……………………………….. [2] __________________________________________________________________________________ 3 By writing each number correct to 1 significant figure, estimate the value of 34.5 6.3 8.76 − . Show your working. Answer ……………………………….. [2] __________________________________________________________________________________

3 SGSS/MathP1/4NA4NT(OOS)/Prelim/2023 [Turn over 4 On the grid, draw an enlargement of this quadrilateral using the scale factor 3 2 . [2] __________________________________________________________________________________ 5 (a) Write 34 2 55 5−  as a single power of 5. Answer ……………………………….. [1] (b) Given that 1 393 n= , find n. Answer n = …………………………… [1] __________________________________________________________________________________

4 SGSS/MathP1/4NA4NT(OOS)/Prelim/2023 6 (a) Simplify 10 3(7 4 )xx−− . Answer ……………………………….. [1] (b) Make m the subject of the formula 2h k m=− . Answer m = …………………………… [2] __________________________________________________________________________________ 7 (a) Find p, giving a reason for your answer. p = ………….  because ………………………………………………………………... [2] (b) Determine if triangle ABC is an equilateral triangle. Answer ………………………………………………………………………………….. [2] …………………………………………………………………………………………… [2] …………………………………………………………………………………………… [2] __________________________________________________________________________________ A B C100 ° 60 ° p

5 SGSS/MathP1/4NA4NT(OOS)/Prelim/2023 [Turn over 8 The stem-and-leaf diagram shows the age, in years, of 50 performers in the National Day parade. 0 8 9 1 0 2 2 5 6 7 7 7 9 2 3 5 5 6 6 6 7 8 8 8 8 3 1 1 2 4 4 7 8 9 9 4 2 3 3 4 5 6 7 8 5 0 0 3 3 5 5 9 6 1 4 6 7 Key 1 | 2 represents 12 years (a) Find the modal age. Answer …………………………. years [1] (b) Find the median age. Answer …………………………. years [1] (c) One of the performers is selected at random. Find the probabili