Year 9 assesment 1 : foundation

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= 4 (b) Solvex-2=6 X-2=6 +2 -18 (c) Solve 6w + 2 = 20 6w 6 = 8 - 6w+2 = 20 -2 -2 18 6 tz = x=8 b) Solve 3(x+2) = 45 8- =W=3 2=6 3x+6=45 6×3=18 +2=20 t = 3(x+2) = 62 3x+5=62 3x = 57 x = 19 X = Q4. a) Mr Rahman has solved the equation 3(x+2) = 62. His working is shown below. 4 √c 3x=39 32² 39 = x= 13/ - 8 3. X Mr Rahman has made a mistake. Identify and explain the mistake Mr Rahman has made. 3 Cx+2) = 62 3x + 6 62 (Total for question 4 marks) 3x = 56=18.6 3 Mr Rahman forgot" times but insted √3 and 2 he added them together which gave him wrong answer the ✓ This is Shova +0 (1) (1) (2) x = 18,6 (1) what he have done (2) (Total for question €3 marks) Q5. Here is a number line. On this number line, show the inequality -2 ≤ x Q6. -4 Q7 Solve 5n+ 3 > 27 Sn +3727 a) x could be 1,0, 1, 2, 3, 4 -3 Sn 724 -3 T 0 T 1 =n=4.8 48*5+3= 2 Write down the gradient of the line with equation y = 2x + 3 3 b) Write down the y-intercept of the line with equation y 2x + 3 > 4 X femember inequality (Total for question=1 marks) 04.8 2 the I ne equation of a : (i) Write down the sign (Total for question = 4 marks) 3 (1) (Total for question=2 mark) ne equation of a straight line Lis y = 3-4x (i) Write down the gradient of L. (ii) Write down the coordinates of the point where L crosses the y-axis. Q9. An electricity company charges the same fixed amount for each unit of electricity used. David uses this graph to work out the total cost of the electricity he has used. y 20- 18- 16- Cost (£) 10 in S 4 4 2 0- 0 10 20 30 (a) Work out the gradient of the straight line. 10. 40 m = change 10, + change in x (b) What does the gradient of this line represent? the coeficient Of the line / graph is cost per unit Of x 50 70 80 60 Number of units used 90 y = z²x + ²1 014 x electricity -4 (1) (Total for question = 2 marks) 100 110 120 130 140 y=10x + 1/2x represents. SC 3 X gradient = 0 (1) 0.14 #O how SteRP کچلے 1) O (Total for question = 3 marks) 2 Q10. The line Lis shown on the grid. Q11. y 6 4 10 VL N 2 4 A X Find an equation of the straight line with gradient 3 that passes through point A. 2-0 Find an equation for L. Y=2x-6 6 4= 3x - 2 or or y=x-6 X 4=2x-6 4=2x-3 9= 3x - s y=4x=5 (Total for question=3 marks) 4= 3x - 12 4=2x-3 On the grid, 9=3x-1 (Total for question = 2 marks) the grid, draw the graph of y= 2x-3 for values of x from -2 to 2 3/4|-21-1 y O 구 1 2 |-7-5-3-1 1 0 1 -2 X y (Total for Question is 3 marks) y = 2 2x-3 Q13. The diagram shows a right-angled triangle. All the angles are in degrees. Work out the size of the smallest angle of the triangle. 90 + 7x +5x+18=180 -S 90 2 2 180-90= =& x +90. 2x 2 90 7x 7x= 162 90 १० = 72 2 =36 Xx=36 |5x+18 #ff it 90+ 12x +18 = 180 12x+108 = 180 -108 -108 12x = 72 12 12 130 000/00 7x=42 Sxt18:48 End of Examination Paper =X=6 90+48 +42=180 X=6✓ 7sc=42 (Total for question is 3 marks) 2