Mathematics Department. R1 Homework
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1 Mathematics Department R1 Homework These questions should be attempted WITHOUT the use of a calculator, unless it is stated that a calculator may be used. Answer ALL questions in your homework jotter. ALL WORKING MUST BE SHOWN. Number your questions clearly. Calculators may be used when you see
2 NAME CLASS TEACHER
3 S1 Non Calculator Weekly 1 1. Calculate: a b c Simplify each expression: a. 5a + 2a + 4a b. 6y 4y c. 8x + 3x 5x 3. Calculate: a b c If a = 4 and b = 2, find the value of: a. a + b b. 2a + 4b c. ab b 5. Copy the list of numbers and circle the multiples of 6:
4 S1 Non Calculator Weekly 2 1. Simplify each expression: a. 4f + 6f +5f b. 2a + 6a 3a c. 7t 4t + 2t 2. Calculate: a b c If x = 4, y = 5 and z = 6, evaluate the following expressions: a. 2x + y b. x + 2y z c. xy 4. Calculate: a b c Copy the list of numbers and circle the factors of 48:
5 S1 Non Calculator Weekly 3 1. Calculate: a b Round the following to 1 decimal place: a b c Simplify the following expressions: a. 3x + 6x 2x b. 7y + 5x 3y c. 9a 3a + 4b 4. Calculate: a b c If a = 6 and b = 3, calculate the value of: a. 3a + 2b b. ab c. 3ab 6. Write down all the factors of a. 10 b. 24 c. 39
6 S1 Non Calculator Weekly 4 1. Calculate: a b c Simplify the following expressions: a. 5a + 6a 2a b. 7x + 2y 3x c.4p + 2r 3p r 3. Calculate: a b c Calculate: a b c Copy the list of numbers and circle the square numbers:
7 S1 Non Calculator Weekly 5 1. Simplify the following expressions: a. 3t + 2r + 3t 2r b. 7a + 5b 3a + 2b 2. Round the following numbers to 1 decimal place: a b c Calculate: a b c If a = 4, b = 2 and c = 1, find the value of: a. a + b c b. 3a + 2c c. ab 3c + 4b 5. Calculate: a b c
8 S1 Non Calculator Weekly 6 1. Calculate: a b Round to 1 decimal place: a b c Simplify the following expressions: a. 8x + 4x 6x b. 12a + 3b 8a c. 4a 3a + 2b 4. Calculate: a b c If a = 4 and b = 7, calculate the value of: a. 2a + 3b b. 5b 3a c. 5ab 6. Write down all the factors of: a. 32 b. 36 c. 48
9 S1 Non Calculator Weekly 7 1. Calculate: a b c Simplify the following expressions: a. 14a + 3b 5a b. 4x + 5y 3x c. 5t + 4s 3t + 6s 3. Calculate: a b c Round the following numbers to 1 decimal place: a b c If a = 5, b = 3 and c = 7, calculate the value of: a. a + b + c b. 5ab 3c c. abc 6. Calculate: a b c
10 S1 Non Calculator Weekly 8 1. Round to the nearest whole number: a b. 5 5 c Calculate: a b c Calculate: a b c. 3 (5 + 7) 4. Round to 1 decimal place: a b c Calculate: a b c Calculate, showing working clearly: a b Problem Solving 1 Chris has to write a 3000 word essay. She estimates that she can fit 55 lines of type on each page, and about 14 words in each line. How many sides of paper will she use?
11 S1 Non Calculator Weekly 9 1. Round to 2 decimal places: a b c Calculate: a b c Copy these sequences, filling in the missing numbers: a. 3, 8, 13, 18,,, b. 88, 77, 66, 55,,, c. 7, 11, 15, 19,,, 4. Calculate, showing working clearly: a b Change to cm: a. 23cm b. 3 4m c. 46mm Problem Solving pupils and 9 teachers are going on a theatre visit. They hire 42 seater buses. a. How many buses will they need? b. Will there be extra seats if any more pupils decide to go?
12 S1 Non Calculator Weekly Calculate: a b c. 12 (8 5) 2. Round to 1 decimal place: a b c Fill in the next three numbers of the sequences: a. 12, 15, 18,,, b. 27, 22, 17,,, c. 1, 4, 9, 16,,, 4. Calculate: a b c Copy the numbers below and circle the prime numbers: Write down all the factors of: a. 12 b. 25 c. 36 Problem Solving 3 An electrician has 100 metres of wire on a drum. He uses 13 6m and 28 7m of wire in one house, and the same lengths again in another house. What length of wire will be left?
13 S1 Non Calculator Weekly Calculate: a b c Simplify the following expressions: a. 6a + 3b 5a b. 12x + 3 4x 3 b. 5r + 5t 3r 4t 3. Calculate: a b c Calculate: a b Calculate: a b. c. 6 2 Problem Solving 4 In a test of the pupils will be given an A grade, a B grade, a C grade, and the rest a D grade. Out of the 40 pupils, how many will get each grade?
14 S1 Non Calculator Weekly Simplify the following expressions: a. 2a + 3c a + 5c b. 6x + 3y 6x + 2y c. 12p + 4 5p 2. Round the following numbers to 1 decimal place: a b c Calculate: a b c If a = 5, b = 3 and c = 1, find the value of: a. a + b c b. 3a + 2c c. ab 3c + 4b 5. Calculate: a b c Problem Solving 5 Kevin counts money paid into his bank account as positive, and money he takes out as negative. How much did he have in his account after each pay-in and pay-out shown below?
15 S1 Non Calculator Weekly Round to 1 decimal place: a b c Calculate: a b c Express the following fractions in their simplest form: 4. Calculate, giving your answer in the simplest form: 5. Simplify: a. 2x + 3y 2x 3y b. 5a + 2a 3b c c 3 6. Write down: a. b. 7 2 c. 2 3 Problem Solving pupils and 5 teachers are going on a school trip. They hire 52 seater buses. a. How many buses will they need? b. How many empty seats will there be?
16 S1 Non Calculator Weekly Calculate: 2. Calculate: a b c Calculate: a b If a = 4 and b = 6, find the value of: a. 2a + 3b b. ab c. 2(a + 3b) 5. Calculate: Problem Solving 7 Seaview restaurant is spending 1800 on new tables and chairs. The owner buys 20 tables costing 60 each. How many chairs can he buy at 8 each?
17 S1 Non Calculator Weekly Calculate: a b c Round to the nearest whole number: a b c Simplify: a. 2a + 3b a b. 5x + 3x 2y 4. Find: 5. Copy the numbers below and circle the factors of 12: Simplify: Problem Solving 8 My petrol tank was exactly full. It took 24 litres of petrol to fill the tank up. How many litres does my tank hold altogether?
18 S1 Non Calculator Weekly Simplify the following expressions: a. 5x 3y + 2x b a 2 c. 15w + 2d 4w d 2. Calculate, giving your answer in its simplest form: 3. Calculate: 4. Round to 2 decimal places: a b c Calculate: a b c Problem Solving 9 Lee gives his Dad a puzzle. Five times my age plus 10 years, makes 70. How old am I? Make an equation and solve it to find out how old Lee is? His Dad replied, Four times my age less 10 years is 130. How old is Lee s Dad?
19 S1 Non Calculator Weekly Simplify the following expressions: a. 5x 3y + 4x b a 3 + 5a c. 6xy + 2xy 3 2. Express these fractions in their simplest form: 3.Calculate: 4.If a = 5, b = 3 and c = 1, find the value of: a. 2a - 3b + c b. ab 2c c. 3ac 4b 5. Calculate: a b Problem Solving 10 The bill for a holiday to Austria for a party of six, two of which were children, came to As one child was only 8 years old, he got free. The remainder of the cost was split equally among the adults. What did it cost each adult for the holiday?
20 S1 Non Calculator Weekly Round to 1 decimal place: a b c Name the angles: J a. b. P T K L R 3. Express these fractions in their simplest form: 4. Calculate the values of a and b: a 125 b Simplify: a. 3x 2y + 5x + 5y b. 2ab + 3a ab 6. Calculate: a b c Problem Solving 11 CUT AND STYLE SHAMPOO 4 45 CUT AND BLOW DRY COLOURING Carol has her hair done at CUT AND STYLE. Her bill is shown to the left. a. Calculate the total cost. b. She pays with 2 20 notes and gives a 2 tip from her change. How much has she left from her 40?
21 S1 Non Calculator Weekly Find: 2. Calculate the value of angles a and b: a b 3. Calculate: a b c If a = 3 and b = 5, find the value of: a. 2a + 3b b. ab c. 2 (a + 3b) 5. Calculate: Problem Solving 11 A fish tank is 1m long, 25cm wide and 20cm deep. How many litres of water does it hold?
22 S1 Non Calculator Weekly Calculate: a (-2) b. 5 (-4) c. -3 (-7) 2. Find the value of a, b and c: 42 a b c Calculate: a b Find: 5. Calculate: a b. 6 + (3 1) c Write down: a. b. 5 2 Problem Solving 12 In a garden of the area is used for vegetables and for flowers and paths. If the rest of the garden consists of lawns, what fraction of the garden is given to lawns?
23 S1 Non Calculator Weekly Simplify the following expressions: a. 2a + 3a 4a b. 2c + 5d 3c c. 2y 3x + 4y + 3x 2. Calculate, giving your answer in its simplest form: 3. Find the values of a, b, and c: 123 b a c Round to 1 decimal place: a b c Calculate: a b. 15 (-12) c (-6) Problem Solving 13 A bowling green is a square of side 35m. What is the cost of returfing it at 2 70 per m 2?
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