KS3 Maths: Algebra & Sequences

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Covers algebra, sequences, and basic geometric calculations for KS3 secondary school students.

52 cards English Level: School Algebra Published
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Cards · 52

Simplify: 3x + 5x - 2x
6x
Simplify: 4a + 7b + 2a - 3b
6a + 4b
Expand: 3(2x + 5)
6x + 15
Expand: -4(y - 3)
-4y + 12
Factorise fully: 6x + 18
6(x + 3)
Factorise fully: 10y - 15
5(2y - 3)
Factorise fully: x^2 + 7x
x(x + 7)
Solve: x + 7 = 15
x = 8
Solve: 4x = 28
x = 7
Solve: 3x - 4 = 11
x = 5
Solve: 2x + 9 = 21
x = 6
Solve: x / 4 + 3 = 8
x = 20
Solve: 5x - 3 = 2x + 9
x = 4
Solve: 7x + 2 = 3x + 18
x = 4
Solve: 2(x + 4) = 18
x = 5
Simplify: a * a * a * a
a^4
Simplify: (y^5) * (y^3)
y^8
Simplify: (x^7) / (x^2)
x^5
Simplify: (b^3)^4
b^12
Find the value of 3x + 2 when x = 4
14
Find the value of a^2 - 5 when a = 6
31
Find the value of 2(x + y) when x = 3 and y = -1
4
Find the next term: 4, 7, 10, 13, ...
16
Find the next term: 20, 15, 10, 5, ...
0
Find the nth term formula for: 5, 8, 11, 14, ...
3n + 2
Find the nth term formula for: 6, 10, 14, 18, ...
4n + 2
Find the nth term formula for: 2, 7, 12, 17, ...
5n - 3
Find the 10th term for the rule: nth term = 4n - 1
39
Find the 5th term for the rule: nth term = n^2 + 1
26
Identify the next two terms of the Fibonacci sequence: 1, 1, 2, 3, 5, 8, ...
13, 21
Find the missing angle on a straight line next to 125 degrees
55 degrees
Find the third angle of a triangle with angles 50 degrees and 70 degrees
60 degrees
Find the missing angle in a quadrilateral with angles 90, 85, and 105 degrees
80 degrees
Find the interior angle sum of a regular pentagon
540 degrees
Find the size of each exterior angle of a regular hexagon
60 degrees
Find the size of each interior angle of a regular octagon
135 degrees
Find angle x vertically opposite to an angle of 74 degrees
74 degrees
State the relationship: Alternate angles between parallel lines are...
Equal
State the relationship: Corresponding angles between parallel lines are...
Equal
State the sum: Co-interior (consecutive) angles between parallel lines add to...
180 degrees
Find the perimeter of a rectangle with length 8 cm and width 5 cm
26 cm
Find the area of a triangle with base 10 cm and perpendicular height 6 cm
30 cm^2
Find the area of a parallelogram with base 9 cm and height 4 cm
36 cm^2
Find the area of a trapezium with parallel sides 6 cm and 10 cm, height 5 cm
40 cm^2
Find the circumference of a circle with diameter 14 cm (use pi = 22/7)
44 cm
Find the area of a circle with radius 7 cm (use pi = 22/7)
154 cm^2
Find the volume of a cuboid with dimensions 4 cm by 3 cm by 5 cm
60 cm^3
Find the surface area of a cube with side length 3 cm
54 cm^2
Find the hypotenuse c of a right-angled triangle with sides a = 3 cm and b = 4 cm
c = 5 cm
Find the missing side a in a right triangle where hypotenuse c = 13 cm and b = 12 cm
a = 5 cm
Find the gradient of the straight line y = 3x - 5
3
Find the y-intercept of the line y = -2x + 7
(0, 7) or 7