ζ Year 7 Revision Dr Frost

ζ Round 1 – Negative Numbers Dr Frost

ζ Round 2 – Sequences Dr Frost

The following is a sequence: … Find a formula that gives the n th term in the sequence. ?

The following is a sequence: … Give you’ve found the formula 3n – 1 in the previous question, what is the 40 th term in the sequence? ?

The following is a sequence: … Find a formula that gives the n th term in the sequence. ?

ζ Round 3 – Straight Lines Dr Frost

Which of the following is not the equation of this line? x y

What is the equation of this line? x y 3

x y

Which of the following is not an equation of the line? x y -2

ζ Round 4 – Forming and solving equations Dr Frost

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Two rectangles of equal size are put together to make a shape. The perimeter of this shape is 300. What is its area? y 2y

I take my age, triple it, and add 4. This is four times the age I was 7 years ago. How old am I? (Solve it using algebra!)

ζ Round 5 – Squares, multiples, LCM, GCD Dr Frost

Which of these is always divisible by 3 for any integer n?

What is the prime factorisation of 60? ?

What is the Greatest Common Divisor of 10 and 15? ?

What is the Greatest Common Divisor of 126 and 180? ?

What is the Lowest Common Multiple of 8 and 12? ?

What is the first square number (except 1) that is also a triangular number? ?

ζ Round 6 – Fractions Dr Frost

? ? ? ? ? ? Fractions

Converting between fractions/decimals/%s /100 1/20 1/10 1/8 1/5 1/4 1/3 1/2 3/5 7/10 4/5 7/8 1 1% 5% 10% 12.5% 20% 25% 33.33% 50% 60% 70% 80% 87.5% 100% DecimalFractionPercentage ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?

Converting fractions to recurring decimals Work these out to 5dp by using long division. = = = ? ? ?

Percentages A car’s value depreciates by 20%. Its original value was £15,500. Find its new value. 10% of £15,500 is £1,550 So 20% is £3100 £15,500 - £3,100 = £12,400 Method 1 – Find the decrease and subtractMethod 2 – Use a ‘decimal multiplier’ £15,500 x 0.8 = £12,400 The ‘non calculator’ methodThe ‘calculator’ method ??

Angles x y z Show that x = y + z 75 ° 30 ° 150 ° ? ? 70 ° 40 ° 60 ° ?

Perimeter and Area 5cm 10cm 16cm Area = 65cm 2 ? 14cm 8cm 5cm 4cm Area = 44cm 2 ? 5cm Perimeter = 32cm ?

Circles 12 Area = 18 π Perimeter = π 4 Area = 4 π Perimeter = π ? ? ? ? Area of shaded region = 4 – π 4 ?

BIDMAS Fully bracket these expressions based on the order of operations: ? ? ? ?

ζ Transformations Dr Frost

Question 1 Describe this transformation. A reflection in the line y = x. ? Object Image

Question 2 A point (3,4) is translated by the vector ( ). What is the resulting point? (1, 6) ? -2 2

Question 3 We’re rotating the given shape 90 ° clockwise about the point (-1, 1). Given the point P on the object, what will be the corresponding point on the image? P   A: (1,2)B: (0,3)C: (3,2)  D: (1,3)

Question 4 y = x y = -x y = 0 x = 0 ? ? Give the equation of these four lines. ? ?

Question 5 A B C D E Answer:B ? I reflect the blue object in the line y = x followed by reflecting it in the y-axis. What’s the resulting image?

Question 6 I reflect my object in the line y = x, followed by a reflection in the x-axis. Describe a single transformation that would have resulted in the same image. Rotation 90 ° clockwise about the origin. ? After first reflection. After second reflection.

Question 7 Object

Question 7 Fully describe this transformation, using a single transformation. Object Rotation 90 ° clockwise about the point (-3,-2) ? Image

Question 8 Fully describe this transformation, using a single transformation. Image Rotation 90 ° anticlockwise about the point (-4,-2) ? Object

Question 9 Fully describe this transformation, using a single transformation. Image Rotation 180 ° about the point (1,-1) ? Object

Question 7 Object Remember to focus on one point at a time, to count squares, and use ‘common sense’ the check your point looks roughly in the right place.