Aged 5 to 7 years (Key stage 1, year 1 & 2). SATS in year 2
What affects year 1 and 2 students
From 5 to 7 years (Key stage 1, year 1&2) English SATS in year 2
Reading (word and comprehension), writing (spelling and handwriting)
From 5 to 7 years (Key stage 1, year 1&2) Maths SATS in year 2
Number, place value, add, subtract, multiply, divide, fractions, shape, space and measurement
From 5 to 7 years (Key stage 1, year 1&2) Maths SATS in year 2
Working scientifically, plants, animals, everyday materials and seasonal changes
Learn with Videos for Year 1 and 2
Maths: Learn how to Add, Subtract, Multiply and Divide
Aged 8 to 11 years (Key stage 2, year 3-6) SATS in year 6
What affects year 3 to year 6 students
From 8 to 11 years (Key stage 2, year 3-6) English SATS in year 6
Reading (word and comprehension), writing (spelling and handwriting)
Aged 8 to 11 years (Key stage 2, year 3-6) Maths SATS in year 6
Number, calculations, fractions, measurements, geometry, stats, algebra and ratio
Aged 8 to 11 years (Key stage 2, year 3-6) Science SATS in year 6
Sc1:scientific enquiry, sc2:life processes & living, sc3:materials and their properties, sc4:physical processes
Learn with Videos for Year 3 to 6
Maths: basic operations; English - SPAG
Aged 12 to 14 years (Key stage 3) SATS in year 9
The latest on Key stage 3
Aged 12 to 14 years (Key stage 3) English SATS in year 9
Reading and writing, spoken language, spelling, vocabulary and grammar
Aged 12 to 14 years (Key stage 3) Maths SATS in year 9
Numeracy and mathematical reasoning and problem solving
Aged 12 to 14 years (Key stage 3) Science SATS in year 9
Working scientifically, biology, chemistry,and physics.
Aged 15 to 16 years with GCSE's in year 11
The latest changes to GCSE Maths, Science and English
From aged 14 to 16 years (2 year GCSE, year 10 & 11).
Two year GCSE with exams at the end. Two exam papers: Foundation (up to grade C) or Higher (to A*).
From aged 14 to 16 years (2 year GCSE, year 10 & 11).
Two year GCSE with exams at the end. Two exam papers: Foundation (up to grade C) or Higher (to A*).
From aged 14 to 16 years (2 year GCSE, year 10 & 11)
Two year GCSE with exams at the end. Two exam papers: Foundation (up to grade C) or Higher (to A*).
Yr 12-13 news
What's happening in year 12&13 Maths and Physics
Advanced level, usually taken from ages 16-18 years
Yr12: C1+C2+option. Yr13: C3+C4+option. Options= Mechanics,decision maths,statistics. Exams: end Yr13
Advanced level (OCR), usually taken from ages 16-18 years
Year 12 - mechanics, electrons waves, photons. Year 13 - Newtonian, Fields & particles. Exams at end of year 13
Revise with this OCR core 2 maths online test(1) with answers. (detail at end)
72 marks, A=80%, B=70% etc
i)Find and simplify the first four terms of the binomial expansion of (1 + 3x)^{6}
ii) Hence find the coefficient of x^{2} in the expansion of (1 + 3x)^{6} (2 – 7x)
ANS
Marks shown at end question i.e. [2]
i) i) 1 + 18x + 135x^{2} + 540x^{3} [3]
ii) 144 [3]
A sequence P has terms u_{1}, u_{2} and u_{3} defined by u_{n} = 5n + 1
i) What are the values of terms u_{1}, u_{2} and u_{3}
ii) What type of sequence is P?
iii) Find
Marks shown at end question i.e. [2]
i) 6 , 11, 16 [2]
ii) Arithmetic [1]
iii) 56775 - 6425 = 50350 [3]
The diagram shows the curve:
i) Use the Trapezium rule, to approximate the area bounded by the curve, the line x = 8 and the x-axis.
Use 6 strips each of width 0.5 and give your answer correct to 3 sf.
ii) Explain why this approximation is an overestimate or underestimate.
ANS
Marks shown at end question i.e. [2]
i) 3.396 → 3.40 [4]
ii) underestimate because trapezium is below the curve [2]
a) Solve the equation 6^{x–2} = 240 using logarithms.
Give your answer to 3 sf.
b) Solve the equation log_{4}2x + 2log_{4}5 = log_{4}(5x + 5)
Marks shown at end question i.e. [2]
a) x = 5.06 [4]
b) 1/9 [4]
In a geometric progression the sum to infinity is five times the first term
i) Show that the common ration is 4/5
ii) Given that the third term is 16 find the first term.
iii) Find the sum of the first ten terms
Marks shown at end question i.e. [2]
i)
[3]
ii) 25 [2]
iii) 111.58 [2]
a)
b) Find in terms of z , the value of
c) Deduce the value of
Marks shown at end question i.e. [2]
i) [4]
ii) [3]
iii) [1]
Solve the following equations for 0° ≤ θ ≤ 180°
i) 5tan3θ = 4
ii) 3cos^{2}θ + 13sinθ = 0
Marks shown at end question i.e. [2]
i) 12.9°, 72.9°, 132.9° [3]
ii) 19.5°, 160.5° [5]
A sector XOY of a circle with centre 0 and radius 6cm is shown below.
The angle XOY is in radians and the area of the triangle XOY is 12 cm^{2}
A shaded segment is bounded by the cord XY and the arc XY.
a) Find the obtuse angle θ.
b) Find the perimeter of the shaded segment to 3 sf.
c) Find the area of the shaded segment to 3 sf.
Marks shown at end question i.e. [2]
a) 2.41 radians [3]
b) 25.7cm [3]
c) 31.4 [4]
The curve f(x)is shown below.
i) Show that the curve crosses the x-axis at (5, 0) and hence state a factor of f(x)
ii) Express f(x) as a product of a quadratic and linear factor.
iii) Hence find the other two points of intersection of the curve with the x-axis
iv) Use integration to find the total area shaded in the diagram.
Marks shown at end question i.e. [2]
i) sub x = 5 into f(x) [2]
ii) (x – 5)(–5x^{2} – 9x + 2) → (x – 5)(–5x + 1)(x + 2 [3]
iii) (1/5, 0) and (–2, 0) [3]
iv) 52.35 + 423.94 = 476.3 [3]
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