YEAR 7 MATHEMATICS – INTERMEDIATE LEVEL WORKSHEET
TOPIC 1: FACTORS AND MULTIPLES
Q1. Find the Highest Common Factor (HCF) of 36 and 48.
Q2. Find the Lowest Common Multiple (LCM) of 12 and 18.
Q3. Write down all the common factors of 24 and 40.
Q4. Two lights flash at regular intervals. One flashes every 8 seconds and the other flashes every 12 seconds. If they flash together now, after how many seconds will they flash together again?
TOPIC 2: FUNCTION MACHINE
Q1. A function machine multiplies a number by 4 and then adds 7. Find the output when the input is 6.
Q2. A function machine subtracts 5 from a number and then multiplies the result by 3. Find the output when the input is 9.
Q3. A function machine multiplies the input by 6 and then subtracts 4. If the output is 38, find the input.
Q4. A function machine follows the rule:
Input → Divide by 2 → Add 9 → Output
If the output is 17, what was the input?
TOPIC 3: SIMPLIFY ALGEBRAIC EXPRESSIONS
Q1. Simplify: 5x + 3x – 2x
Q2. Simplify: 7a + 4b – 3a + 2b
Q3. Simplify: 9y – 4 + 3y + 10
Q4. Simplify: 6p + 3q – 2p + 5 – q – 8
TOPIC 4: EXPAND AND SIMPLIFY BRACKETS
Q1. Expand: 4(x + 3)
Q2. Expand and simplify: 3(2x + 5)
Q3. Expand and simplify: 5(a + 2) + 3a
Q4. Expand and simplify: 4(2y – 3) + 2(y + 5)
TOPIC 5: FRACTIONS, DECIMALS AND PERCENTAGES (F/D/P) EQUIVALENTS
Q1. Write 3/5 as a decimal and a percentage.
Q2. Write 0.45 as a fraction in its simplest form and as a percentage.
Q3. Write 35% as a fraction in its simplest form and as a decimal.
Q4. Complete the following equivalent values:
7/20 = ______ (decimal) = ______ %
TOPIC 6: MULTIPLY AND DIVIDE DECIMALS
Q1. Calculate: 3.6 × 4
Q2. Calculate: 7.2 ÷ 0.6
Q3. Calculate: 2.45 × 1.2
Q4. Calculate: 15.75 ÷ 2.5
TOPIC 7: FORMING ALGEBRAIC EXPRESSIONS
Q1. Write an algebraic expression for:
“Seven more than a number x.”
Q2. Write an algebraic expression for:
“Five times a number n, minus 8.”
Q3. A cinema ticket costs £x. Write an expression for the total cost of 4 tickets and a £3 booking fee.
Q4. Sarah has x sweets. Her brother has 5 more sweets than Sarah.
Write an expression for the total number of sweets they have altogether.