Year 12 Baseline AS Level 2015 Test 60 marks 1 hour
Name __________________________ Score ________
1.
Evaluate 60 ÷ −4
2.
Evaluate −3 − 1 as a top heavy fraction.
3.
Evaluate ×
4.
Evaluate 8 − 5 as a top heavy fraction
5.
Evaluate −1 ÷ 4
6.
Expand and simplify (3x – 2) (2x + 1)
(2)
7.
Solve 5x – 3 > 3 – x
(2)
8.
Expand and simplify (2 – 5x)2
(2)
9.
Expand and simplify 2x(4x – 3) – 3x(2x – 5)
(2)
2
5
7
3
9
14
. Give your answer in its simplest form.
2
3
3
4
2
3
(1)
(1)
(1)
(2)
(2)
10. Factorise fully 4x2 – 20x
(1)
11. Factorise x2 – 49
(1)
12. Factorise x2 – 5x – 36
(2)
13. Factorise 15x2 – 23 x + 4
(2)
14. Solve x2 - 8x = 0
(2)
15. Solve x2 = 5x - 6
(2)
16. Solve 6x2 + 13 x + 6= 0
(2)
17. Solve the simultaneous equations
2x + 3y = 11
3x + 5y = 17
(3)
18. Simplify 4𝑥 −3 × 5𝑥 7
19. Write the following as a single power of x
(2)
1
(1)
√𝑥
(5x2y3)3
20. Write the following as single powers of x and y
21. Write the following as a single power of x
𝑥3
𝑥 −7
(2)
(1)
22. Simplify 𝑥 5 − 𝑥 5
(1)
23. Write 2−4 as a fraction
(1)
24. Evaluate 640
25. Evaluate 2x0
(1)
(1)
1
26. Evaluate 812
27. Evaluate 64
(1)
1
−
3
(1)
2
28. Evaluate 1253
(1)
3
29. Simplify (4𝑥 6 )2
(2)
30. Solve 4x2 - 10x + 3 = 0 using the quadratic formula. Leave your answers in the simplest surd form. (3)
2
31. Simplify 8𝑥 2 (2𝑥 −3 )−3
(2)
32. Make x the subject of 12y – 4x = 8
(2)
33. Express x2 - 4x + 3 in the form (x + a)2 – b
(HINT: COMPLETE THE SQUARE)
(2)
34. Factorise 9x2 – 16
(1)
35. Sketch y = x2 + x – 6 showing where the quadratic meets the x and y axes.
(2)
36. Factorise fully 8x2 – 32
(1)
37. Solve (2z +1)(3z – 2) = 0
(1)
2
𝑎
5
𝑏
38. Simplify ( )−2 leaving your answer as a fraction in the form
(1)