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Sample HFL Gcse Grade 7 Revision Workbook Page

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Revising for Grade 7 in Mathematics Session 10

Quick Quiz Review of Session 9


(1) Write down all the integers (1) Express  90 in the form a b ,
which satisfy the inequality where a and b are integers
–2 < n < 3. greater than 1.
(2) A sequence is described by this (2) Simplify the expression
iterative formula: (1 +  3 )(1 +  5 ) –  15
un+1 = un + 6 u1 = 4
(3) Multiply out and simplify:
Work out the 5th term of the (a) ( 7 – 2)( 7 + 1)
sequence.
(b) (3 2 – 4)(3 2 + 4)
(3) a = 5, b = –6 and c = –3
Work out the value of b2 – 4ac. (c) ( 5 –  2 )2

24 (4) Rationalise the denominators in


(4) Solve the equation =3
2x + 1 the following. Simplify your
answers where possible.
(5) p is an acute angle.
8 1
cos (p) = 0.25. (a) (b)
6 4 2
Work out the value of p, correct
1 4 5
to 1 decimal place. (c) (d)
3 + 7 7 – 3 5

The focus for today’s session is …


Similar shapes

Reminder Practice Questions


The two triangles in this diagram are (1) These two triangles are similar.
similar. Equal angles are marked.
D 7 cm 42 cm
∠BAC = ∠CED 10 cm
(alternate) x
13 cm 15 cm
∠ABC = ∠CDE 12 cm
(alternate)
A C Calculate the length marked x.
∠ACB = ∠DCE
E (vert. opposite) (2) Work out the lengths a, b and c in
6 cm
B these diagrams. (Parallel lines are
indicated with arrows.)
Both triangles contain the same
angles. They have the same shape 45
but different size. 14 cm 10 cm 10
c
15
Scale factor = = 2.5 b 63
6 a
2 cm 35
CD = 13 cm, so BC = 13 = 5.6 cm lengths in
2.5
15 cm cm

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