List of practice Questions

Let \(Z\) represent a sequence of numbers \((z_1, z_2, z_3, \dots)\) wherein each term is defined as seven less than three times the preceding term. If \(z_3 + z_5 = 142\), what is the first term in the sequence?
Evaluate: \(0.4835 \times 10^2\)
Evaluate: \[ y = 3^{13} - 9^5 (127)^{-3} \]
Solve for \(x\): \[ 2^{x+1} = 128 \]
Evaluate: \[ 0.0075 \div 0.0126 \]
A five-year bond is opened with $ 5000 at an interest rate of 2.5%, compounded annually. Find the approximate total after 5 years.
In a four-digit positive integer \(y\), the thousand's digit is three times the unit's digit. Compare the unit's digit of \(y\) (Quantity A) with 4 (Quantity B).

Choose the answer which best simplifies the expression below: \[ 2a14 - y - 38 + a \]
If \( -1<w<1 \), all of the following must also be greater than \(-1\) and less than 1 EXCEPT for which choice?
In the equation below, \( m, p, k \) are non-zero numbers. What is the value of \( m \) in terms of \( p \) and \( k \)?
\( 1m3 - 1k2 = 1p \)
For the quantities below, \( x<y \) and \( x \) and \( y \) are both integers. Quantity A: \( x^5 y^3 \)
Quantity B: \( x^4 y^4 \)
Solve the inequality: \[ 6(x - 1)<7(3 - x) \]
\( h(x) = \frac{28x + 4}{x - 4} \). For which of the following values of \(x\) is the function undefined?
If \( 4xs = v \), \( v = ks \), and \( sv \neq 0 \), which of the following is equal to \(k\)?
Solve the quadratic equation: \[ 3x^2 - 11x = -10 \]
There are \(x\) number of sweets wrapped in a gift paper. Alison gives \( \frac{4}{7} \) of the total sweets to her friend Elena, and gives \( \frac{3}{5} \) of the remaining sweets to his friend Michael. Which of the following could be the original number of sweets which were wrapped in the gift paper? Indicate all possible options.
A literary club in a particular university consists of at least 150 members. The number of faculty members in this group is 60% of the number of male students, which is 50% of the number of female students in this club. Which of the following could be the number of faculty members in this literary club? Indicate all possible options.
If \(-13<a<-2\) and \(1<b<9\), which of the following could be equal to the product of \(a\) and \(b\)? Indicate all possible values.
Simplify: \( x2y - 5x2y2x2y \)
A function \( f(x) = -1 \) for all values of \( x \). Another function \( g(x) = 3x \) for all values of \( x \). What is \( g(f(x)) \) when \( x = 4 \)?
Factorize: \( 25x^2 - 36y^2 \)
In a triangle JKL, the length of two sides is given as 8 and 13 and the length of third side is unknown. Which of the following could be the length of this unknown side? Indicate all possible options.
If ‘P’ is a negative odd number and ‘Q’ is a Prime number other than 2, then which of the following options is INCORRECT. Indicate all possible answers.
For all values of $x$ and $y$ if $x<y<(x+y)$, which of the following must be negative? Indicate all possible options.
If 3 and 14 are factors of a number, which of the following can possibly be true? Indicate all possible answers.