GCSE Edexcel Maths Higher.
Geometry and trigonometry.
BRIAN PETER
,"How do you share £40 in the ratio 2:3 - CORRECT ANSWER 1) Add 2 + 3 = 5
2) £40 ÷ 5 = £8 in one part
3) 2 x £8 = £16
4) 3 x £8 = £24"
"Solve 3y = 21 - CORRECT ANSWER "
"Solve w - 8 = 3 - CORRECT ANSWER "
"Solve 2w + 3 = 17 - CORRECT ANSWER "
"Solve 6w + 1 = 4w + 13 - CORRECT ANSWER "
"When solving using trial and improvement to 1 decimal place, if 4.5 is too low and 4.6
is too high, what would you do next? - CORRECT ANSWER Try 4.55.
If it is too low, 4.6 is the answer.
If it is too high, 4.5 is the answer."
"Make w the subject of w - 3 = c - CORRECT ANSWER w = c + 3"
"Show x < 4 on a number line - CORRECT ANSWER "
"Show x > 2 on a number line - CORRECT ANSWER "
"Show x ≥ 1 on a number line - CORRECT ANSWER "
"Show x ≤ 3 on a number line - CORRECT ANSWER "
"Find the nth term for 8, 11, 14, 17 ... - CORRECT ANSWER 1. Find out what the size
is increasing/decreasing by. (in this case 3)
2. Write the times tables for that number below the sequence and also 3n
3. See what you would have to do to 3 times tables to get to the sequence... +5
4. Then the nth term is 3n + 5"
"If the nth term is 4n + 1, what is the 100th term? - CORRECT ANSWER 401.
4 x 100 + 1 = 401"
"How do you find the volume of a cuboid? - CORRECT ANSWER length x width x
height"
"How do you find the surface area of a 3D shape? - CORRECT ANSWER Find the
area of all faces and add them up."
"How do you find the volume of a Triangular Prism? - CORRECT ANSWER Find the
area of the triangle, then multiply by how long the shape is."
1
, "How do you find the volume of a cylinder? - CORRECT ANSWER Find the area of the
circle using π r²
Multiply by how long the cylinder is."
"What is the translation vector, for the translation of 2 squares to the right and 3 squares
upwards? - CORRECT ANSWER "
"What is the translation vector, for the translation of 1 square to the left and 3 squares
upwards? - CORRECT ANSWER "
"When asked to rotate a shape on a grid, what are the steps? - CORRECT ANSWER
1. Ask for tracing paper.
2. Place the tracing paper on the grid and trace over the shape AND the centre of
rotation.
3. Rotate the shape, the degrees and direction you are asked to - Make sure the centre
of rotation stays in the correct place.
4. Draw the shape on the grid."
"What is Pythagoras' Theorem? - CORRECT ANSWER a² + b² = c²
where c is the longest side (hypotenuse) and a&b are the shorter sides."
"alternate angles - CORRECT ANSWER equal"
"co-interior angles - CORRECT ANSWER add to 180"
"total of exterior angles - CORRECT ANSWER 360"
"1 exterior angle - CORRECT ANSWER 360/number of sides"
"sum of interior angles - CORRECT ANSWER (sides - 2) x 180"
"sin/cos/tan 45, lengths= - CORRECT ANSWER "
"sin/cos/tan 30 or 60, lengths= - CORRECT ANSWER "
"a^m x b^n - CORRECT ANSWER ab^m+n"
"a^m / b^n - CORRECT ANSWER a/b^m-n"
"a^0 - CORRECT ANSWER 1"
"a^1 - CORRECT ANSWER a"
"(a^m)^n - CORRECT ANSWER a^mxn"
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Geometry and trigonometry.
BRIAN PETER
,"How do you share £40 in the ratio 2:3 - CORRECT ANSWER 1) Add 2 + 3 = 5
2) £40 ÷ 5 = £8 in one part
3) 2 x £8 = £16
4) 3 x £8 = £24"
"Solve 3y = 21 - CORRECT ANSWER "
"Solve w - 8 = 3 - CORRECT ANSWER "
"Solve 2w + 3 = 17 - CORRECT ANSWER "
"Solve 6w + 1 = 4w + 13 - CORRECT ANSWER "
"When solving using trial and improvement to 1 decimal place, if 4.5 is too low and 4.6
is too high, what would you do next? - CORRECT ANSWER Try 4.55.
If it is too low, 4.6 is the answer.
If it is too high, 4.5 is the answer."
"Make w the subject of w - 3 = c - CORRECT ANSWER w = c + 3"
"Show x < 4 on a number line - CORRECT ANSWER "
"Show x > 2 on a number line - CORRECT ANSWER "
"Show x ≥ 1 on a number line - CORRECT ANSWER "
"Show x ≤ 3 on a number line - CORRECT ANSWER "
"Find the nth term for 8, 11, 14, 17 ... - CORRECT ANSWER 1. Find out what the size
is increasing/decreasing by. (in this case 3)
2. Write the times tables for that number below the sequence and also 3n
3. See what you would have to do to 3 times tables to get to the sequence... +5
4. Then the nth term is 3n + 5"
"If the nth term is 4n + 1, what is the 100th term? - CORRECT ANSWER 401.
4 x 100 + 1 = 401"
"How do you find the volume of a cuboid? - CORRECT ANSWER length x width x
height"
"How do you find the surface area of a 3D shape? - CORRECT ANSWER Find the
area of all faces and add them up."
"How do you find the volume of a Triangular Prism? - CORRECT ANSWER Find the
area of the triangle, then multiply by how long the shape is."
1
, "How do you find the volume of a cylinder? - CORRECT ANSWER Find the area of the
circle using π r²
Multiply by how long the cylinder is."
"What is the translation vector, for the translation of 2 squares to the right and 3 squares
upwards? - CORRECT ANSWER "
"What is the translation vector, for the translation of 1 square to the left and 3 squares
upwards? - CORRECT ANSWER "
"When asked to rotate a shape on a grid, what are the steps? - CORRECT ANSWER
1. Ask for tracing paper.
2. Place the tracing paper on the grid and trace over the shape AND the centre of
rotation.
3. Rotate the shape, the degrees and direction you are asked to - Make sure the centre
of rotation stays in the correct place.
4. Draw the shape on the grid."
"What is Pythagoras' Theorem? - CORRECT ANSWER a² + b² = c²
where c is the longest side (hypotenuse) and a&b are the shorter sides."
"alternate angles - CORRECT ANSWER equal"
"co-interior angles - CORRECT ANSWER add to 180"
"total of exterior angles - CORRECT ANSWER 360"
"1 exterior angle - CORRECT ANSWER 360/number of sides"
"sum of interior angles - CORRECT ANSWER (sides - 2) x 180"
"sin/cos/tan 45, lengths= - CORRECT ANSWER "
"sin/cos/tan 30 or 60, lengths= - CORRECT ANSWER "
"a^m x b^n - CORRECT ANSWER ab^m+n"
"a^m / b^n - CORRECT ANSWER a/b^m-n"
"a^0 - CORRECT ANSWER 1"
"a^1 - CORRECT ANSWER a"
"(a^m)^n - CORRECT ANSWER a^mxn"
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