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Year 10 Exam Revision 2

Year 10 Exam Revision 2. Groups of 4 Pupil A,B,C,D 1 point for each pupil. A 3(2x-1)+4(x+3). B 5(2x+3)+3(x+2). Expand and simplify. C 4(2x+1)-2(x+3). D 5(3X-1)-2(X-5). A 3(2x-1)+4(x+3) 6X-3+4X+12 10X+9. B 5(2x+3)+3(x+2) 10x+15+3x+6 13x+21.

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Year 10 Exam Revision 2

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  1. Year 10 Exam Revision 2 Groups of 4 Pupil A,B,C,D 1 point for each pupil

  2. A 3(2x-1)+4(x+3) B 5(2x+3)+3(x+2) Expand and simplify C 4(2x+1)-2(x+3) D 5(3X-1)-2(X-5)

  3. A 3(2x-1)+4(x+3) 6X-3+4X+12 10X+9 B 5(2x+3)+3(x+2) 10x+15+3x+6 13x+21 Expand and simplify ANSWERS C 4(2x+1)-2(x+3) 8x + 4 - 2x -6 6x -2 D 5(3X-1)-2(X-5) 15x – 5 -2x + 10 13x + 5

  4. Nth term of a sequenceWrite down the 1st, 2nd and 3rd terms • 4n+1 • 5n-2 • 2n+7 • 3n-2

  5. Nth term of a sequence ANSWERS Write down the 1st and 2nd terms • 4n+1 means x4 then +1 • N=1 1x4+1=5 • N=2 2x4+1=9 • 5n-2 • N=1 1x5-2=3 • N=2 2x5-2=8 • 2n+7 • N=1 1x2+7=9 • N=2 2x2+7=9 • 3n-2 • N=1 1X3-2=1 • N=2 2X3-2=6

  6. Simplify by collecting like terms • 4a + 2b + 3a + 3b • 5x + 4y – 2x + 10y • 3x + 10y + 2x + y – x • 6a + 3b – a + b – 2a

  7. Simplify by collecting like terms ANSWERS • 4a + 2b + 3a + 3b • 7a + 5b • 5x + 4y – 2x + 10y • 3x + 14y • 3x + 10y + 2x + y – x • 4x + 11y • 6a + 3b – a + b – 2a • 3a + 4b

  8. Factorise by putting back into brackets • 2a + 10 • 5a + 30 • y2 + 3y • b2 – 7b

  9. Factorise by putting back into brackets ANSWERS • 2a + 10 • 2(a + 5) • 5a + 30 • 5(a + 6) • y2 + 3y • y(y+3) • b2 – 7b • b(b – 7)

  10. Plot the following coordinates, join them up then find the coordinates of the mid-point • (1,1) and (5,5) • (2,10) and (4,4) • (6,3) and (9,4) • (6,10) and (8,7)

  11. Plot the following coordinates, join them up then find the coordinates of the mid-pointANSWERS • (1,1) and (5,5) (3,3) • (2,10) and (4,4) (3,7) • (6,3) and (9,4) (7.5,3.5) • (6,10) and (8,7) (7,8.5)

  12. Find the area of these shapes • 6cm • 2cm • 4cm • 7cm • 6cm • 12cm

  13. Find the area of these shapesANSWERS • 6cm • 2cm 6x=12cm2 • 4cm 4x7=28 • 7cm 28÷2 = 14cm2 • 6cm 6x12=72 • 12cm 72÷2=36cm2

  14. Calculate the mean

  15. Calculate the mean ANSWERS 30 143 Mean = 143 ÷ 30 = 4.7

  16. Calculate the mean

  17. Calculate the mean ANSWERS 20 590 Mean = 590 ÷ 20 = 29.5 cm

  18. Expanding double brackets • (x + 2)(x + 7) • (x + 6)(x – 3) • (x + 5)2 • (x + 7)2

  19. Expanding double brackets ANSWERS • (x + 2)(x + 7) X2+9X+14 • (x + 6)(x – 3) X2 + 3X - 18 • (x + 5)2 = (X+5)(X+5) X2 + 10X + 25 • (x + 7)2 = (X+7)(X+7) X2 + 14X + 49

  20. 7cm Calculate the circumference of a circle. • REMEMBER C=πd 10cm 6cm

  21. 7cm Calculate the circumference of a circle. ANSWERS • REMEMBER C=πd • C = 3.14 x 10=31.4 c=3.14 x 7 = 21.98 • D=12 so c=3.14 x 12 = 37.68 10cm 6cm

  22. Calculate the area of a circle. • REMEMBER a=πr2 10cm 7cm 6cm

  23. Calculate the area of a circle. ANSWERS • REMEMBER a=πr2 • A=3.14 x 102=314 A=3.14 x 72=153.86 • R=3 so A=3.14 x 32 = 28.26 10cm 7cm 6cm

  24. Write these numbers in standard form • 5600000 • 31800 • 0.00074 • 0.035

  25. Write these numbers in standard form ANSWERS • 5600000 • 5.6 X 106 • 31800 • 3.18 X 104 • 0.00074 • 7.4 X 10-4 • 0.035 • 3.5 X 10-2

  26. Compound interest. • £3000 invested at 2% at 5 years • £2400 invested at 4% for 3 years • £600 invested at 6% for 2 years • £2500 invested at 4.1% for 3 years

  27. Compound interest. ANSWERS • £3000 invested at 2% at 5 years • 3000 X 1.025 = £3312.24 • £2400 invested at 4% for 3 years • 2400 X 1.043 = £2699.67 • £600 invested at 6% for 2 years • 600 X 1.062 = £674.16 • £2500 invested at 4.1% for 3 years • 2500 X 1.0413 = £2820.28

  28. Histograms . • Work out the frequency density then draw the histogram

  29. Histograms . ANSWERS • Work out the frequency density then draw the histogram Freq Density Height

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