Mathematics Grade 9 March Test 75 marks 13/hour Question-1 1 Calculate the following without the use of a calculator. Show all steps! \( 1.1 \quad 18-10+4-6 \) \( 1.2-24-(-18) \) (2) \( 1.38 \times(-3)+(-6) \) \( 1.4 \quad-4^{2}+(-4)^{3} \) 15 \( 1.5 \sqrt{169}-\sqrt[3]{-0,064} \) \( 1.6 \sqrt{1 \frac{9}{16}} \times 1 \frac{2}{3}+9,3 \) [15] Question 2 2.1 Simplify the following and give your answers as positive exponents. 2.1.1 \( -4\left(x^{3}\right)^{0} \) 2.1.2 \( \left(-4 x^{3}\right)^{0} \) 2.1.3 \( \quad 3^{-1} a^{2} b^{-5} \) 2.1.4 \( \left(-2 y^{2}\right)(-2 y)^{-2} \) \( 2.1 .3-{ }^{2}-8 \) \( 2.1 .5 \frac{x^{4} y^{3}}{x^{5} y^{3}} \) 2.2 Calculate the following without the use of a calculator. Show all your work. (3) \[ 4^{-2} \times 6^{2} \times 3^{-2} \]

To fully grasp the concepts you've encountered in your math test, let's take a fun detour into the history of mathematics! Did you know that the concept of zero, which is fundamental in calculations today, wasn't always universally accepted? Ancient civilizations like the Babylonians and Mayans incorporated it, but it wasn't until the 7th century that Indian mathematicians truly embraced and developed the decimal system we use now. The introduction of zero revolutionized mathematics forever! Now, let's dive into the real-world application of the equations you're solving. Imagine you're budgeting your monthly expenses and need to calculate the total amount remaining after purchases, similar to question 1.1 about simple arithmetic. Mastering these operations helps in keeping accurate accounts and managing finances, making sure you know exactly how much money you have left for fun outings or savings for future adventures!