Math revision

• Simplify the expression: 5x + 4y + x – 7y

  6x - 3y
• Solve the equation: 7(x + 2) = 7

  x = -1
• What is the value of $4^0$?


  1
• Find the value of $3^{-2}$


  $\frac{1}{9}$
• In the arithmetic sequence 5, 9, 13, 17, what is the next term?

  21
• What is the nth term of the arithmetic sequence 5, 9, 13, 17?

  4n + 1
• Write 8.2 × 10^5 as an ordinary number.

  820,000
• Work out (2.3 × 10^12) ÷ (4.6 × 10^3) and give the answer in standard form.

  5 × 10^8
• Write 0.000376 in standard form.

  3.76 × 10^-4
• Estimate the arm length of a student with a height of 148 cm.

  Estimates will vary
• Simplify: 2a + 4b + 3a – b

  5a + 3b

  
• What is the percentage of men with a height greater than 184cm?

  10%
• Expand: 5(m + 2)

  5m + 10
• Simplify: a^5 × a^4

  a^9

  
• Expand: 4(3x + 5)

  12x + 20
• Expand and simplify: 2(x – 4) + 3(x + 5)

  5x + 7
• Expand and simplify: (x + 4)(x + 6)

  x^2 + 10x + 24
• Express $\frac{1}{\sqrt{8}}$ in the form $\frac{\sqrt{n}}{4}$, where n is a positive integer.


  $\frac{\sqrt{2}}{4}$
• Rationalise the denominator of $\frac{5}{\sqrt{3}}$


  $\frac{5\sqrt{3}}{3}$
• Find an expression, in terms of n, for the nth term of the sequence 3, 9, 15, 21, 27.

  6n - 3
• Ben says that 150 is in the sequence 3, 9, 15, 21, 27,... Is Ben right?

  No, 150. 5 is not an integer
• What is the value of 5^0?

  1
• What is the value of 5^-2?

  1/25
• Write $\frac{1}{\sqrt{8}}$ in the form 2^n where n is an integer.


  2^-3/2
• Given x books on shelf A, (3x + 1) on shelf B, (2x − 5) on shelf C, and a total of 44 books, what is x?

  8
• Given the books on shelf B have a total mass of 7500 g, what is the mass of the books on shelf A?

  2000 g
• Given 4 red bricks have a mean weight of 5 kg, 5 blue bricks have a mean weight of 9 kg, and 1 green brick has a weight of 6 kg, what is the mean weight of the 10 bricks?

  7.1 kg
• Is Donna correct when she says, "The mean weight of the 10 bricks is less than 7 kg?"

  No, the mean is 7.1 kg
• Find the highest common factor (HCF) of 72 and 90.

  18
• Estimate the mean time taken to get to work.

  28 minutes
• If Dan has some marbles, Ellie has twice as many as Dan, Frank has 15 marbles, and they have a total of 63 marbles, how many marbles does Dan have?

  16
• Calculate an estimate for the mean waist size.

  32.8 inches
• Who is correct, Jenny or the manager?

  The manager, modal size isn't the mean
• Find the lowest common multiple (LCM) of 40 and 56

  280
• A = 2^3 × 3 × 5 and B = 2^2 × 3 × 5^2, write down the highest common factor (HCF) of A and B.

  60
• Find an expression, in terms of n, for the nth term of this sequence.

  Insufficient information
• Work out the mean time for all 80 children.

  Insufficient information
• How do you show data in an ordered stem and leaf diagram?

  • Stems: The first digit(s) of the data values
  • Leaves: The last digit of the data values, ordered from least to greatest
  • Key: Explains what the stem and leaf represent

  
• What is standard form?

  a × 10^n, 1 ≤ a < 10
• How can you determine an arithmetic sequence?

  Find the constant difference between terms