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groups of 7 equals 21 \( \times 7=21 \) threes equals 21 \( +3+3+3+3+3+3=21 \)

Ask by Greene Murphy. in the United States
Mar 12,2025

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Groups of 7 equal 21, and adding three 7s also equals 21.

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Beyond the Answer

Did you know that the number 21 is fascinating in mathematics? It’s known as a triangular number, meaning it can be arranged in an equilateral triangle. If you were to visualize it, you would see 6 dots in the first row, 5 in the next, and so on, culminating in 1 dot at the top. And there you have it, the total is 21! In real-world scenarios, the concept of grouping numbers can help in simplifying tasks. For example, if you’re arranging chairs for a party and you know each table can seat 7 people, you'll quickly figure out you need 3 tables for 21 guests. Using the idea of multiples makes planning events much more straightforward and organized!

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INSTRUCTION AND INFORMATION 1. Answer All the questions 2. Read ALL questions carefully 3 Number the answers according to the numbering system used in this question paper 4. Clearly show AlL calculations, diagram, graphs etc. 5. Round off the answers to TWO decimal places, unless otherwise stated 6. Use \( \pi=3.14 \) 7. Write neatly and legibly QUESTION 1 1.1 Caleulate the following without using a calculator. Show ALL steps used in calculating the answer. Leave the answer as a mixed fraction. No marks will be awarded for the final answer only. HINT:BODMAS \( 1.1 .14 \frac{3}{4}+1 \frac{1}{12}-2 \frac{5}{6}=3+\frac{1}{12}-\frac{5}{3} \) \[ =\frac{17}{12} \] \( 1.1 .22^{3}+\frac{3}{\sqrt[3]{5^{2}+2}} \) \[ 2^{3}+\frac{3}{\sqrt[3]{5^{2}+2}}=8+\frac{3}{3} \] 1.2 Rearrange the following fractions in ascending order: \[ \begin{array}{l} \text { Rearrange the following fractions in ascending order: } \\ 1 \frac{1}{3} ; \frac{2}{5} ; \frac{3}{5} ; 2 \frac{2}{5} ; 7 ; 8 \%=8 \% \frac{2}{5} ; \frac{3}{5}, 1 \frac{1}{3}, 7 \frac{2}{5}, 7 \end{array} \] 1.3 A train departed on Tuesday at 7:25 and arrived at its destination on Friday at 23:47 of the same week. How long did the journey take? Write the answer in days, hours and minutes. (3) 1.4 If the ratio of chocolates to ice-cream cones in a box is \( 5: 8 \) and the number of chocolates is 30. Find the number of ice cream \( \frac{8}{5}=\frac{30}{1 e c} \) cicam cone \( =\frac{5}{8}(3) \) 1.5 Venetia Mining company shares decreased by \( 7 \% \) from the previous week's price of \( \begin{aligned} & \frac{30 \times 8}{5(3)} \\ = & 48\end{aligned} \) 1.6 Lufuno 's salary after a \( 8,5 \% \) increase is R16 205. Calculate Lufuno's original salary. Show ALL steps that are used to determine the answer. (3) 1.7 Convert \( 24^{\circ} \mathrm{C} \) in Paris. What will the temperature be if converted to \( { }^{\circ} \mathrm{F} \). (2) You may use the formula: \( \left({ }^{\circ} \mathrm{C} \times 1,8\right)+32^{\circ} \) 1.8 Write 3 p.m. in 24 -hour notation (2)

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INSTRUCTION AND INFORMATION 1. Answer All the questions 2. Read ALL questions carefully 3 Number the answers according to the numbering system used in this question paper 4. Clearly show AlL calculations, diagram, graphs etc. 5. Round off the answers to TWO decimal places, unless otherwise stated 6. Use \( \pi=3.14 \) 7. Write neatly and legibly QUESTION 1 1.1 Caleulate the following without using a calculator. Show ALL steps used in calculating the answer. Leave the answer as a mixed fraction. No marks will be awarded for the final answer only. HINT:BODMAS \( 1.1 .14 \frac{3}{4}+1 \frac{1}{12}-2 \frac{5}{6}=3+\frac{1}{12}-\frac{5}{3} \) \[ =\frac{17}{12} \] \( 1.1 .22^{3}+\frac{3}{\sqrt[3]{5^{2}+2}} \) \[ 2^{3}+\frac{3}{\sqrt[3]{5^{2}+2}}=8+\frac{3}{3} \] 1.2 Rearrange the following fractions in ascending order: \[ \begin{array}{l} \text { Rearrange the following fractions in ascending order: } \\ 1 \frac{1}{3} ; \frac{2}{5} ; \frac{3}{5} ; 2 \frac{2}{5} ; 7 ; 8 \%=8 \% \frac{2}{5} ; \frac{3}{5}, 1 \frac{1}{3}, 7 \frac{2}{5}, 7 \end{array} \] 1.3 A train departed on Tuesday at 7:25 and arrived at its destination on Friday at 23:47 of the same week. How long did the journey take? Write the answer in days, hours and minutes. (3) 1.4 If the ratio of chocolates to ice-cream cones in a box is \( 5: 8 \) and the number of chocolates is 30. Find the number of ice cream \( \frac{8}{5}=\frac{30}{1 e c} \) cicam cone \( =\frac{5}{8}(3) \) 1.5 Venetia Mining company shares decreased by \( 7 \% \) from the previous week's price of \( \begin{aligned} & \frac{30 \times 8}{5(3)} \\ = & 48\end{aligned} \) 1.6 Lufuno 's salary after a \( 8,5 \% \) increase is R16 205. Calculate Lufuno's original salary. Show ALL steps that are used to determine the answer. (3) 1.7 Convert \( 24^{\circ} \mathrm{C} \) in Paris. What will the temperature be if converted to \( { }^{\circ} \mathrm{F} \). (2) You may use the formula: \( \left({ }^{\circ} \mathrm{C} \times 1,8\right)+32^{\circ} \) 1.8 Write 3 p.m. in 24 -hour notation (2)
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