User:Work clubs 1
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[edit] Evaluating formulae
Date issued : 6/6/8
Name :
Home work
(1) Where a = 3 and d = -3. Formula C = ad. Find the value of C
(2) Where a = 3 and d = -3. Formula C = ad + 1. Find the value of C
(3) Where a = 3 and d = -3. Formula C = -ad + 1. Find the value of C
(4) Where a = 3 and d = -3. Formula C = (ad)² + 1. Find the value of C
(5) Where a = 3 and d = -3. Formula C = a² + d² + 1². Find the value of C
(1) Where R = 3 , T = 3 and V = 2 . Formula P = RT/V. Find the value of P
(2) Where R = 3 , T = 3 and V = 2 . Formula P = (RT)²/V. Find the value of P
(3) Where R = 3 , T = 3 and V = 2 . Formula P = [(RT)²-1]/V. Find the value of P
(4) Where R = 3 , T = 3 and V = 2 . Formula P = [(RT)²-1]/(V-1). Find the value of P
(5) Where R = 3 , T = 3 and V = 2 . Formula P = √(RT)/V. Find the value of P
(1) Where a = 4 and b = 3. Formula P = a² + b². Find the value of P
(2) Where a = 4 and b = 3. Formula P = a² - b². Find the value of P
(3) Where a = 4 and b = 3. Formula P = √(a² + b²). Find the value of P
(4) Where a = 4 and b = 3. Formula P = 2a² + 3b². Find the value of P
(5) Where a = 4 and b = 3. Formula P = (a² + b²)/(a² - b²). Find the value of P
(1) Where a = 2 , b = 3 and c = -3. Formula P = √(b² - 4ac)/2a. Find the value of P (2 d.p)
(2) Where a = 1 , b = 3 and c = -1. Formula P = √(b² - 4ac)/2a. Find the value of P (2 d.p)
(3) Where a = 2 , b = 1 and c = -1. Formula P = √(b² - 4ac)/2a. Find the value of P (2 d.p)
(4) Where a = 1 , b = 1 and c = -1. Formula P = √(b² - 4ac)/2a. Find the value of P (2 d.p)
(5) Where a = 1.5 , b = 2.5 and c = -3.5. Formula P = √(b² - 4ac)/2a. Find the value of P (2 d.p)
[edit] Percentage
(1) What is 10% of £60
(2) What is 20% of £60
(3) What is 30% of £160
(4) What is 25% of £100
(5) What is 35% of £120
[edit] Original value
(1) If 5% = £10. What was the original value?
(2) If 10% = £50. What was the original value?
(3) If 15% = £75. What was the original value?
(4) If 20% = £100. What was the original value?
(5) If 25% = £125. What was the original value?
[edit] Increase
(1) A ticket costing £12.5 has been increased by 25% this season. What is the new price?
(2) A ticket costing £1.5 has been increased by 20% this season. What is the new price?
(3) A baby weighted 15kg has been increased by 25% of its weight. What is the new weight?
(4) A baby weighted 15kg has been increased by 15% of its weight. What is the new weight?
(5) A baby weighted 25kg has been increased by 10% of its weight. What is the new weight?
[edit] Decrease
(1) A ticket costing £12.5 has been decreased by 25% this season. What is the new price?
(2) A ticket costing £1.5 has been decreased by 20% this season. What is the new price?
(3) A baby weighted 15kg has been decreased by 25% of its weight. What is the new weight?
(4) A baby weighted 15kg has been decreased by 15% of its weight. What is the new weight?
(5) A baby weighted 25kg has been decreased by 10% of its weight. What is the new weight?
[edit] Find percentage of a value
(1) A student scores 50 marks out of 75 marks in her test. What is her score in percentage?
(2) A student scores 35 marks out of 75 marks in her test. What is her score in percentage?
(3) A student scores 60 marks out of 75 marks in her test. What is her score in percentage?
(4) A student scores 15 marks out of 75 marks in her test. What is her score in percentage?
(5) A student scores 25 marks out of 75 marks in her test. What is her score in percentage?
[edit] Change from percentage to fraction
Change the following percentage to fraction and decimal
(1) 45% = ____/____ = _____
(2) 15% = ____/____ = _____
(3) 5% = ____/____ = _____
(4) 35% = ____/____ = _____
(5) 75% = ____/____ = _____
[edit] Change from fraction to percentage
Change the following to fraction back into percentage
(1) 2/5 = ____%
(2) 1/5 = ____%
(3) 3/4 = ____%
(4) 3/20 = ____%
(5) 6/25 = ____%
[edit] Ratio
(1) Divide £800 in the ratio 5 : 3
(2) Divide £1000 in the ratio 4 : 6
(3) Divide £200 in the ratio 5 : 15
(4) Divide £40 in the ratio 2 : 3
(5) Divide £100 in the ratio 2 : 8
(1) A sum of money is divided into two parts in the ratio 5 : 7. If the smaller amounts is £200, find the larger amount.
(2) A sum of money is divided into two parts in the ratio 4 : 6. If the smaller amounts is £100, find the larger amount.
(3) A sum of money is divided into two parts in the ratio 2 : 3. If the smaller amounts is £50, find the larger amount.
(4) A sum of money is divided into two parts in the ratio 2 : 8. If the smaller amounts is £100, find the larger amount.
(5) A sum of money is divided into two parts in the ratio 4 : 6. If the smaller amounts is £250, find the larger amount.
[edit] Inverse Proportion
(1) Five men building a wall take 20 days to complete it. How long would it take 4 men to complete it?
(2) seven men building a wall take 25 days to complete it. How long would it take 5 men to complete it?
(3) ten men building a wall take 120 days to complete it. How long would it take 15 men to complete it?
(4) Five men building a wall take 60 days to complete it. How long would it take 6 men to complete it?
(5) 4 people can clean an office in 6 hours. How many people would be needed to clean the office in 4 hours?
[edit] Compound interest
Calculate the value of investment after n years
(1) £250 invested for 5 years at 8% p.a
(2) £450 invested for 5 years at 4% p.a
(3) £650 invested for 5 years at 2% p.a
(4) £250 invested for 2 years at 1% p.a
(5) £250 invested for 5 years at 0% p.a
[edit] Depreciation
(1) A business buys a new machinery at a cost of £9000.00. Its decides to calculate the depreciation at an annual rate of 25%. Work out the value of the machinery at the end of 3 years
(2) A business buys a new machinery at a cost of £10000.00. Its decides to calculate the depreciation at an annual rate of 20%. Work out the value of the machinery at the end of 5 years
(3) A business buys a new machinery at a cost of £900.00. Its decides to calculate the depreciation at an annual rate of 15%. Work out the value of the machinery at the end of 10 years
(4) A business buys a new machinery at a cost of £7000.00. Its decides to calculate the depreciation at an annual rate of 10%. Work out the value of the machinery at the end of 15 years
(5) A business buys a new machinery at a cost of £19000.00. Its decides to calculate the depreciation at an annual rate of 5%. Work out the value of the machinery at the end of 25 years
[edit] Simultaneous equation
Solve the following simultaneous equation. Find a and b
(1):
2a + 3b = 14
1a + 4b = 17
(2):
2a + 3b = 10
1a + 4b = 9
(3):
2a + 3b = 9
1a + 4b = 7
(4):
2a + 3b = 11
1a + 4b = 9
(5):
2a + 3b = 5
1a + 4b = 5
[edit] Prime factor
Write down 15 prime numbers starting from 2 , 3 , ...
Find the prime factors of : 8 , 12 , 24 , 10 , 15 , 42 , 84 and 112
[edit] HCF
Find the HCF of :
(a) : 8 and 12
(b) : 24 and 36
(c) : 10 , 15 and 30
(d) : 12 , 18 , 30 and 42
(e) : 28 , 42 , 84 , 98 and 112
[edit] Sequence
Name the following sequence
1 , 3 , 5 , ... ____________________
1 , 4 , 9 , ... ____________________
1 , 2 , 4 , ... ____________________
2 , 4 , 6 , ... ____________________
1 , 8 , 27 , ... ____________________
Fill in the missing term of the following sequence
1 , ___ , 5 , 7 , ...
1 , ___ , 9 , 16 , ...
1 , ___ , 4 , 8 , ...
2 , ___ , 6 , 8 , ...
1 , 8 , ___ , 64 , ...
3 , 7 , 11 , ___ , 19 , ...
2 , 5 , 8 , ___ 14 , ...
Correct the following mistakes done my the teacher, by circling the number
2 , 4 , 6 , 9 , 10 , ...
1 , 3 , 5 , 6 , 9 , ...
2 , 4 , 7 , 8 , 10 , ...
1 , 4 , 8 , 16 , 25 , ...
3 , 6 , 9 , 13 , 15 , ...
Find the sum of the following sequence
2 + 4 + 6 = _________
1 + 2 + 3 = _________
1 + 4 + 9 = _________
2 + 6 + 10 = _________
1 + 8 + 27 = _________
2 + 4 + 8 = _________
1 + 3 + 5 = _________
-2 - 4 - 6 = _________
-5 - 3 - 1 = _________
-16 - 9 - 4 = _________
-10 - 8 - 6 = _________
Correct the following sum done incorrectly by the teacher
1 + 2 + 3 = 7
1 + 3 + 5 = 12
2 + 4 + 6 = 7
4 + 6 + 8 = 17
1 + 4 + 9 = 16
3 + 5 + 7 = 10
-1 - 2 - 3 = 7
-1 - 4 - 7 = 13
-1 - 5 - 6 = -15
-1 - 2 - 4 = -10
Fill in the missing number to correct the sum
1 + 2 + ___ = 7
1 + 4 + ___ = 12
1 + 2 + 4 + ___ = 15
4 + ___ + 12 = 24
-1 - ___ - 7 = -12
-1 - 3 - ___ = -9
1 - 2 - ___ - 8 = -15
What do you get when you add odd sequences together?
( 1 + 3 + 5 + , ... ) + ( 3 + 5 + 7 + , ... ) _____________________
( 3 + 5 + 7 + , ... ) + ( 5 + 7 + 9 + , ... ) ______________________
( 1 + 5 + 9 + , ... ) + ( 1 + 3 + 7 + , ... ) ______________________
What do you get when you add these number sequences together?
1 + 3 = ___
1 + 3 + 5 = ___
1 + 3 + 5 + 7 = ___
1 + 3 + 5 + 7 + 9 = ___
1 + 3 + 5 + 7 + 9 + 11 = ___
What do you get when you add even sequences together?
( 2 + 4 + 6 + , ... ) + ( 6 + 4 + 2 + , ... ) _____________________
( 2 + 4 + 6 + , ... ) + ( 4 + 8 + 12 + , ... ) ______________________
( 10 + 8 + 6 + , ... ) + ( 2 + 6 + 10 + , ... ) ______________________
What do you get when you add even and odd sequences together?
( 2 + 4 + 6 + , ... ) + ( 1 + 3 + 5 + , ... ) _____________________
( 2 + 4 + 6 + , ... ) + ( 3 + 5 + 7 + , ... ) ______________________
( 10 + 8 + 6 + , ... ) + ( 5 + 7 + 9 + , ... ) ______________________
What do you get when you add odd and even sequences together?
( 1 + 3 + 5 + , ... ) + ( 2 + 6 + 10 + , ... ) _____________________
( 5 + 7 + 9 + , ... ) + ( 2 + 4 + 6 + , ... ) ______________________
( 3 + 5 + 7 + , ... ) + ( 2 + 6 + 10 + , ... ) ______________________
State the number of terms does the following sequence have
1 , 5 , 9 , ... , 17. _____terms
1 , 3 , 5 , ... , 11. _____terms
1 , 2 , 4 , 8 ... , 64. _____terms
2 , 4 , 6 , ... , 12. _____terms
1 , 4 , 9 , ... , 49. _____terms
-10 , -8 , -6 , ... , 0. _____terms
-9 , -7 , -5 , ... , 1. _____terms
-12 , -10 , -8 , ... , -2. _____terms
State which one is not a sequence
1 , 2 , 3 , 4 , ... yes or no
2 , 4 , 6 , 7 , ... yes or no
1 , 3 , 5 , 7 , ... yes or no
3 , 6 , 9 , 14 , ... yes or no
1 , 2 , 4 , 8 , ... yes or no
1 , 8 , 27 , 63 , ... yes or no
5 , 10 , 15 , 21 , ... yes or no
-1 , -2 , -3 , -4 , ... yes or no
-3 , -5 , -7 , +9 , ... yes or no
-10 , -8 , -6 , +4 , ... yes or no
-11 , -9 , -7 , -5 , ... yes or no
What do you get when you times two even number together?
2 × 2 = ____
2 × 4 = ____
4 × 6 = ____
8 × 2 = ____
6 × 4 = ____
8 × 6 = ____
What do you get when you times even and odd number together?
2 × 1 = ____
2 × 5 = ____
7 × 6 = ____
9 × 2 = ____
6 × 7 = ____
8 × 3 = ____
What do you get when you times two odd number together?
1 × 1 = ____
3 × 3 = ____
5 × 7 = ____
11 × 9 = ____
3 × 5 = ____
3 × 7 = ____
Find the difference of the following sequence
1 , 3 , 5 , ...difference =_______
12 , 10 , 8 , ...difference =________
3 , 6 , 9 , ...difference =________
16 , 10 , 4 , ...difference = ________
2 , 6 , 10 , ...difference =________
Write down the first and the last term of the following sequence
1 , 3 , 5 , 7. 1st term =_______last term = _____
1 , 5 , 9. 1st term =_______last term = _____
2 , 4 , 6 , 8 , 10. 1st term =_______last term = _____
10 , 8 , 6 , 4 , 2. 1st term =_______last term = _____
Write down the last term of the following series
1 , 4 , 7 , ... , 6 terms. last term _____
2 , 4 , 6 , ... , 6 terms. last term _____
3 , 5 , 7 , ... , 5 terms. last term _____
5 , 10 , 15 , ... , 4 terms. last term _____
11 , 9 , 7 , ... , 6 terms. last term _____
10 , 5 , 0 , ... , 5 terms. last term _____
Write down the 1st term take away the difference of the follwoing sequence
1 , 4 , 7 , 10 , ... = ____ - ____
1 , 3 , 5 , 7 , ... = ____ - ____
10 , 7 , 4 , 1 , ... = ____ - ____
2 , 4 , 6 , 8 , ... = ____ - ____
12 , 8 , 4 , 0 , ... = ____ - ____
5 , 10 , 15 , 20 , ... = ____ - ____
Write down the nth of the follwoing sequence
1 , 4 , 7 , 10 , ... = ______
1 , 3 , 5 , 7 , ... = ______
10 , 7 , 4 , 1 , ... = ______
2 , 4 , 6 , 8 , ... = ______
12 , 8 , 4 , 0 , ... = _______
2 , 5 , 8 , 11 , ... = ______
-4 , -2 , 0 , 2 , ... = ______
10 , 7 , 4 , 1 , ... = ______
-2 , -4 , -6 , -8 , ... = ______
12 , 8 , 4 , 0 , ... = _______
5 , 10 , 15 , 20 , ... = _______
Basic Arithmetic
Add the the following:
(1) + 1 + 2 =
(2) - 1 - 2 =
(3) + 3 + 4 =
(4) - 2 - 7 =
(5) + 4 + 5 =
(6) - 5 - 6 =
(7) + 5 + 6 =
(8) - 11 - 12 =
(9) + 1 + 12 =
(10) - 3 - 1 =
Fill in the missing number:
(1) + 2 + 4 ___ = +9
(2) - 2 - 4 ___ = -8
(3) + 4 + 1 ___ = +7
(4) - 2 - 5 - ___ = -10
(5) + 5 + 4 + ___ = +13
(6) -5 - 5 - ___ = -12
(7) + 5 + 8 ___ = +14
(8) - 5 - 6 ____ = -15
(9) + 1 + 4 ____ = +7
(10) - 2 - 4 - ____ = -10
Work out the following mixed:
(1) - 2 - 1 + 3 =
(2) - 1 - 4 + 4 =
(3) - 2 - 3 + 5 =
(4) - 2 - 5 + 5 =
(5) - 1 - 4 + 3 =
(6) - 2 - 5 + 1 =
(7) - 3 - 2 + 1 =
(8) - 5 - 4 + 8 =
(9) - 5 - 2 + 6 =
(10) - 5 - 5 + 9 =
(1) + 2 + 1 - 3 =
(2) 6 + 4 - 4 =
(3) + 5 + 4 - 4 =
(4) 6 + 4 - 5 =
(5) + 2 + 1 - 6 =
(6) 2 + 4 - 7 =
(7) + 2 + 5 - 9 =
(8) 1 + 4 - 6 =
(9) + 2 + 1 - 3 =
(10) 3 + 4 - 8 =
Multiply the following
(1) 1 × 10 =
(2) 2 × 100 =
(3) 3 × 1000 =
(4) 4 × 10000 =
(5) 5 × 100000 =
(6) 10 × 10 =
(7) 100 × 100 =
(8) 1000 × 1000 =
(9) 500 × 500 =
(10) 600 × 60 =
Multiplication involving one negative sign
(1) (-1) × (1) =
(2) (2) × (-2) =
(3) (-3) × (3) =
(4) (-4) × (4) =
(5) (5) × (-5) =
(6) (-6) × (6) =
(7) (-7) × (7) =
(8) (8) × (-8) =
(9) (-9) × (9) =
(10) (-10) × (10) =
Multiplication involving two negative signs
(1) (-1) × (-1) =
(2) (-2) × (-2) =
(3) (-3) × (-3) =
(4) (-4) × (-4) =
(5) (-5) × (-5) =
(6) (-6) × (-6) =
(7) (-7) × (-7) =
(8) (-8) × (-8) =
(9) (-9) × (-9) =
(10) (-10) × (-10) =
Write down the sign
(1) (__1) × (__1) = -1
(2) (__2) × (__2) = +4
(3) (__3) × (__3) = -9
(4) (__4) × (__4) = +16
(5) (__5) × (__5) = -25
(6) (__6) × (__6) = +36
(7) (__7) × (__7) = -49
(8) (__8) × (__8) = +64
(9) (__9)× (__9) = -81
(10) (__10)× (__10) = +100
Correct the mistakes done by me.
(1) (-1) × (-1) = -1
(2) (-2) × (2) = +4
(3) (3) × (-3) = +9
(4) (-4) × (-4) = -16
(5) (-5) × (-5) = -25
(6) (-6) × (6) = 36
(7) (7) × (-7) = 49
(8) (-8) × (-8) = -64
(9) (-9) × (-9) = 81
(10) (10) × (-10) = 100
Simplify the following
(1) 1 + 1 = ___ × ____ =
(2) 2 + 2 + 2 = ___ × ____ =
(3) 3 + 3 + 3 + 3 = ___ × ____ =
(4) 4 + 4 + 4 + 4 + 4 = ___ × ____ =
(5) 5 + 5 + 5 + 5 + 5 + 5 = ___ × ____ =
(6) - 1 - 1 = ___ × ____ =
(7) - 2 - 2 - 2 = ___ × ____ =
(8) - 3 - 3 - 3 - 3 = ___ × ____ =
(9) - 4 - 4 - 4 - 4 - 4 = ___ × ____ =
(10) - 5 - 5 - 5 - 5 - 5 - 5 = ___ × ____ =
[edit] Order of operation
(1) (1 + 2) + 4 =
(2) (2 + 3) - 1 =
(3) (3 + 4) × 2 =
(4) (5 + 4) ÷ 3 =
(5) (1 + 2) + (3 + 4) =
(6) (5 + 4) - (3 + 2) =
(7) (1 + 2) × (1 + 2) =
(8) (3 + 2) ÷ (3 + 2) =
(1) (2 - 2) + 4 =
(2) (3 - 3) - 1 =
(3) (4 - 3) × 2 =
(4) (5 - 4) ÷ 1 =
(5) (6 - 4) + (3 + 4) =
(6) (7 - 4) - (1 + 2) =
(7) (8 - 5) × (1 + 2) =
(8) (10 - 5) ÷ (3 + 2) =
(1) 5 ÷ 5 + 3
(2) 5 ÷ 5 - 3
(3) 5 ÷ 5 × 3
(4) 5 ÷ 5 + (1 + 1)
(1) 6 ÷ 3 × 2 + 3
(2) 1 ÷ 1 × 2 - 3
(3) 4 ÷ 2 × 3 + 1
(4) 10 ÷ 5 × 2 - (1 + 1)
Expand out the bracket
(1) 2×(3 - 2) = ____×____ + ____×____
(2) 2×(2 + 1) = ____×____ + ____×____
(3) 2×(3 - 2) = ____×____ + ____×____
(4) 2×(3 + 1) = ____×____ + ____×____
(5) 2×(3 - 1) = ____×____ + ____×____
(6) 2×(4 + 3) = ____×____ + ____×____
(7) 2×(5 - 4) = ____×____ + ____×____
(8) 3×(3 + 2) = ____×____ + ____×____
(9) 3×(-3 + 1) = ____×____ + ____×____
(10) 3×(-5 - 3) = ____×____ + ____×____
Write the following in the power form
(1) 1 × 1 = ___
(2) 2 × 2 × 2 = ____
(3) 3 × 3 × 3 × 3 = ____
(4) 4 × 4 × 4 × 4 × 4 = ____
(5) 5 × 5 × 5 × 5 × 5 × 5 = ____
(6) (-1) × (-1) = ____
(7) (-1) × (-1) × (-1) = _____
(8) (-2) × (-2) × (-2) × (-2) = _____
(9) (-3) × (-3) × (-3) × (-3) × (-3) = ____
(10) (-4) × (-4) × (-4) × (-4) × (-4) × (-4) = ___ × ____
Write down the square number of the following:
(1) 1² =
(2) 2² =
(3) 3² =
(4) 4² =
(5) 5² =
(6) 6² =
(7) 7² =
(8) 8² =
(9) 9² =
(10) 10² =
(11) 11² =
(12) 12² =
Write down the square number of the following:
(1) (-1²) =
(2) (-2²) =
(3) (-3²) =
(4) (-4²) =
(5) (-5²) =
(6) (-6²) =
(7) (-7²) =
(8) (-8²) =
(9) (-9²) =
(10) (-10²) =
(11) (-11²) =
(12) (-12²) =
Estimate the square root of the following number
(1) √5 ≈ ____
(2) √15 ≈ ____
(3) √25 ≈ ____
(4) √35 ≈ ____
(5) √45 ≈ ____
(6) √55 ≈ ____
(7) √65 ≈ ____
(8) √75 ≈ ____
(9) √85 ≈ ____
(10) √95 ≈ ____
State the number of decimal places of the following numbers
(1) 1.364655 = ___d.p.
(2) 136.4635 = ___d.p.
(3) 0.365 = ___d.p.
(4) 1386.46 = ___d.p.
(5) 0.000365 = ___d.p.
(6) 0.54 = ___d.p.
(7) 1.00003 = ___d.p.
(8) 26464.046 = ___d.p.
(9) 1.3 = ___d.p.
(10) 1233436.4 = ___d.p.
(11) 9.3 = ___d.p.
(12) 136.4635 = ___d.p.'"
State the number of significant places of the following numbers
(1) 1364 = ___s.f.
(2) 13646000 = ___s.f.
(3) 365001 = ___s.f.
(4) 1.364 = ___s.f.
(5) 136.46000 = ___s.f.
(6) 0.365000 = ___s.f.
(7) 0.00046 = ___s.f.
(8) 0.000365 = ___s.f.
(9) 0.54000 = ___s.f.
(10) 1.00003 = ___s.f.
(11) 1.04000 = ___s.f.
(12) 0.365000 = ___s.f.
(13) 26.04600 = ___s.f.
(14) 57000 = ___s.f.
(15) 1233436.400 = ___s.f.
(16) 9.3000 = ___s.f.
(17) 6.4000 = ___s.f.'"
(18) 72336.400 = ___s.f.
(19) 1119.3000 = ___s.f.
(20) 306.4001000 = ___s.f.'"
