math

• What fraction is equivalent to 4.75?

  19/4
• A vector that represents movement three to the right and two down is written as (3, -2)
• A million is both a square number and a cube number.


  True
• What is the reciprocal of 5/6?

  6/5
• To find angle X using trigonometry in a right-angled triangle with adjacent 9 and hypotenuse 18, you would use the cos function.
• What is the value of angle X if cos X = 1/2?

  60 degrees
• Steps to complete the Venn diagram for band members:

  1️⃣ Place 12 singers who are not guitar players.

  2️⃣ Calculate and place 24 people who are neither singers nor guitar players.

  3️⃣ Determine there are 44 guitar players.

  4️⃣ Divide 44 into 11 who are also singers and 33 who are not.
• If the shorter side of a parallelogram is 6.5 cm and it is 1/9 of the perimeter, the total perimeter is 58.5 cm.
• A scatter graph with points moving downwards shows strong positive correlation.

  False
• What is the length of the longer side of the parallelogram in centimeters?

  22.75
• In a geometric progression, each term is found by multiplying or dividing by a constant ratio.


  True
• In a geometric progression where the second term is 4 and the fourth term is 16, the first term is 2.
• If p + 5p + 9p = 90, the value of p is 6.
• In an arithmetic progression, what is the third term if the first two terms are p and 5p?

  9p
• What is the deposit amount for a holiday costing 2400 if it represents 3/8 of the total cost?

  900 pounds
• If 11/40 = 0.275, then 11/400 as a decimal is 0.0275.
• The ratio of monthly payments to the deposit is 5:3.


  True
• What is the decimal value of 33/400?

  0.0825
• The total length of the wire in the earring is 45π + 12 mm.
• The radius of the quarter circle in the earring is 6 mm.


  True
• What is the smallest possible positive integer value of K if (x + s)(x - t) simplifies to x² + Kx - 40?

  3
• In solving the quadratic equation, X = -2 makes the bracket (X + 2) equal to zero.


  True
• When 18c is simplified using indices laws, the answer is 2¹¹ × 3³ × 5⁶. The coefficient of the term is 1.
• What is the cube root of 2⁶ × 11³?

  44
• In the iteration process, if U1 = 4, then U2 = 0.5.
• If 3x = 1/2y, then the ratio of x to y is 6:1.


  True
• What is the value of U3 in the iteration process?

  -8
• The formula for the height of the plant after n days is H = 3n + 20 cm.
• The gradient of the graph showing the plant's growth is 3.

  True
• What is the value of 'u' in the given expression?

  -8
• The y-intercept of the graph is the C
• The y-intercept of the graph is 20.

  True
• The gradient of the graph is 3
• What is the formula for the height, H, in terms of n?

  H = 3n + 20
• Steps to solve simultaneous equations

  1️⃣ Multiply one equation by a factor to eliminate a variable

  2️⃣ Add or subtract the equations to cancel a variable

  3️⃣ Solve for the remaining variable

  4️⃣ Substitute the value back into an original equation

  5️⃣ Solve for the other variable
• Substitution is always necessary to solve simultaneous equations.

  False
• Anything to the power zero is equal to 1
• What are the solutions for x and y in the simultaneous equations?

  x = 0.5, y = -2.5
• What is the value of 32^{-\frac{3}{5}}</latex>?

  $\frac{1}{8}$
• Arrange the following numbers in order of size, starting with the smallest:

  1️⃣ 3√23

  2️⃣ 15.6

  3️⃣ 15.6$\overline{6}$

  4️⃣ 2.1^4