Year 11 Higher Set 1
Maths Tasks for Elective Home Learning
Grade 4 - 6
GCSE Higher Homework 16
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
You may use a calculator for this homework
Student Name:
1
2
Parent Signature:
Find the value of: (152 - 122) ÷ √(9.6 - 3.87)
(give your answer correct to 1 decimal place)
Convert 120 cm into feet
1 foot ≈ 30 cm
2
2
3
Convert 29000 mm into cm
4
Write 0.01 as a percentage, and a fraction in its simplest terms
5
Increase £482 by 17.5%
6
10
A farmer has 380 acres of land. He sells 35% of his land. How much does
he have left?
In an experiment the mass of a chemical drops from 75 g to 69 g. Find the
percentage decrease.
Calculate (9.5 × 102) - (4.1 × 10-1)
(give your answer in standard form)
Calculate (1.8 × 10-4) ÷ (1.2 × 108)
(give your answer in standard form)
Solve 6(x - 3) = 3(x + 8)
11
Solve the simultaneous equations:
12
Solve
13
16
Find the gradient and the coordinates of the y-intercept for the graph:
y=4
Find the gradient of the line that passes through the points
(5, -2) and (1, 1)
Find the coordinates of the midpoint of the line segment AB, where A and
B have coordinates: A(-2, -8), B(5, -8)
Find the size of each of the exterior angles of a regular hexagon
17
A circle’s circumference is 29 cm, find its radius
18
A 1840 kg concrete block has a volume of 0.8 m3. Calculate the density of
the concrete block.
A bag contains ten balls numbered 1 to 10. Ball 8 is selected at random
and not replaced. Find the probability that the next ball selected is ball 7.
Write down the first 6 terms of the Fibonacci sequence
7
8
9
14
15
19
20
3x - 2y = 8
5x - 3y = 14
16 < 4x < 28
Grade 4 - 6
GCSE Higher Homework 17
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
This is a non-calculator homework.
Student Name:
Parent/Carer Signature:
Please sign to confirm a calculator has not been used.
1
Work out:
2
Find the Lowest Common Multiple (LCM) of 12 and 15
3
Write 132 as a product of prime factors
4
Round 0.0523 to one significant figure
5
8
Work out 9¼ + 2⅓
Give your answer in its simplest form.
Work out 4¾ ÷ ½
Give your answer in its simplest form.
The angles in a triangle are in the ratio 2 : 1 : 3. Find the sizes of the three
angles.
Express 8 as a percentage of 32
9
Find 67% of 108
10
Factorise 4xy3 - 4x2y2
11
Expand (x - 2)(x - 5)
12
Factorise x2 - 4x - 12
13
Evaluate 16x4 ÷ 8x
14
Write 1.023 × 10-3 as an ordinary number
15
If a = -6 and b = -2, find c when c = 3ab
16
Make x the subject of the following:
17
Solve
18
Find the first 5 terms of the sequence given by 10n - 8
19
Estimate
20
975 × 23
6
7
3+2×9-4
z = 10 - 2x2
2.6x - 7 = -59
(64.4 × 5.6) ÷ (17 × 9.5)
Grade 4 - 6
GCSE Higher Homework 18
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
You may use a calculator for this homework
Student Name:
1
2
Parent Signature:
Work out
√16.75 + 1.532
(write down all the figures on your calculator display)
Convert 4 miles into km
1 mile ≈ 1.6 km
2
2
3
Convert 1.2 m into mm
4
Write 0.06 as a percentage, and a fraction in its simplest terms
5
Stephen puts £150 into an account which pays 5% interest per year. How
much will he have in the account after 1 year?
Decrease £99 by 9%
6
7
10
The sale price of a DVD is £5.99. The original price of the DVD was
£11.99. Find the percentage decrease.
Calculate (2.1 × 104) - (1.8 × 103)
(give your answer in standard form)
Calculate (4.8 × 103) ÷ (1.2 × 10-2)
(give your answer in standard form)
Solve 4(x - 3) = 2(x - 8)
11
Solve the simultaneous equations:
12
Solve
13
16
Find the gradient and the coordinates of the y-intercept for the graph:
y=3-x
Find the gradient of the line that passes through the points
(-4, -3) and (-8, -6)
Find the coordinates of the midpoint of the line segment AB, where A and
B have coordinates: A(-3, -2), B(1, 4)
Find the size of each of the exterior angles of a dodecagon
17
Find the area of a circle whose radius is 2 cm.
18
A paperweight has a volume of 8 cm3 and a density of 11500 kg/m3.
Calculate the mass of the paperweight.
Three children are chosen at random from a class containing 15 boys and
12 girls. Find the probability that no girls are chosen.
Write down Pythagoras’ Theorem
8
9
14
15
19
20
2x + 6y = 19
3x + 8y = 28
6 - x < 7x - 2
Grade 4 - 6
GCSE Higher Homework 19
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
This is a non-calculator homework.
Student Name:
Parent/Carer Signature:
Please sign to confirm a calculator has not been used.
1
Work out:
2
Find the Highest Common Factor (HCF) of 24, 30 and 36
3
Write 325 as a product of prime factors
4
Round 0.00076511 to one significant figure
5
8
Work out 9/8 - 1/5
Give your answer in its simplest form.
Work out 7⅗ ÷ 2⅚
Give your answer in its simplest form.
The four angles in a quadrilateral are in the ratio 1 : 5 : 2 : 4. Calculate the
sizes of the four angles.
Express 14 as a percentage of 35
9
Find 90% of 21
10
Factorise 12pq - 2p2
11
Expand (y + 2)(y - 13)
12
Factorise x2 + 3x - 18
13
Evaluate
14
Write 6.67 × 10-1 as an ordinary number
15
If a = 6 and b = -4, find c when c = -2ab2
16
Make x the subject of the following:
17
Solve
18
Find the nth term of the following sequence:
19
Estimate
20
769 × 154
6
7
18 ÷ (9 - 12 ÷ 4)
3x5 × 2x2
b = √x + 4
1.5x - 3 = -24
(174.3 × 3.45) × (2.8 × 23.9)
13, 9, 5, 1, ...
Grade 4 - 6
GCSE Higher Homework 20
Complete this homework on the sheet. You can do any working out on the back, on scrap paper, or in your exercise book.
Parents/carers are allowed to help you and/or check your work. Please ask them to sign below when completed.
You may use a calculator for this homework
Student Name:
1
2
Parent Signature:
Work out
(2.4 × 1.92) × 2.03
(write down all the figures on your calculator display)
Convert 1 km into miles
1 mile ≈ 1.6 km
3
3
3
Convert 19 cm into m
4
Write 0.14 as a percentage, and a fraction in its simplest terms
5
David’s height increased by 20% between the ages of 6 and 10. He was
50 inches tall aged 6. How tall was he aged 10?
Decrease £1 by 17%
6
7
10
The price of a Smartphone increased from £125 to £150. Find the
percentage increase.
Calculate (4.9 × 107) + (8.0 × 102)
(give your answer in standard form)
Calculate (8.1 × 10-1) ÷ (0.9 × 10-2)
(give your answer in standard form)
Solve -4(x - 3) = 8(0.7 - x)
11
Solve the simultaneous equations:
12
Solve
13
16
Find the gradient and the coordinates of the y-intercept for the graph:
y = ⅓x + 2
Find the gradient of the line that passes through the points
(2, -1) and (4, -9)
Find the coordinates of the midpoint of the line segment AB, where A and
B have coordinates: A(½, -4), B(-8, 6)
Find the size of each of the exterior angles of a regular septagon/heptagon
17
The area of a circle is 34 cm2, find its diameter
18
A limestone statue has a volume of 0.4 m3. Limestone has a density of
2610 kg/m3. Calculate the mass of the statue.
The probability that Colin wins any game of chess is 0.8. Work out the
probability that Colin wins neither of his next two games of chess.
How many planes of symmetry does a cube have?
8
9
14
15
19
20
4x + 7y = 15
5x - 2y = 8
8 < 3x - 4 ≤ 26