# Number - Using A Calculator

a - answer    s - solution    v - video    d - discussion

## Question 1

Use a calculator to investigate these order of operations questions

a) $5+8-2$a s v d
b) $5-2+8$a s v d
c) $8\times2\div4$a s v d
d) $8\div4\times2$a s v d
e) $10+20\times3$a s v d
f) $10\times3+20$a s v d
g) $20+40\div4$a s v d
h) $20\div4+40$a s v d

## Question 2

Use a calculator to investigate these order of operations questions

a) $3+5\times2$a s v d
b) $(3+5)\times2$a s v d
c) $20-8\div4$a s v d
d) $(20-8)\div4$a s v d
e) $5\times2+3\times4$a s v d
f) $5\times(2+3)\times4$a s v d
g) $60\div10-9\div3$a s v d
h) $60\div(10-9)\div3$a s v d

## Question 3

Use the $x^2$, $x^3$ or $x^y$ button on your calculator for the following:

a) $5^2$a s v d
b) $27^2$a s v d
c) $7^3$a s v d
d) $19^3$a s v d
e) $13^4$a s v d
f) $6^5$a s v d
g) $5^8$a s v d
h) $21^7$a s v d

## Question 4

Can you explain the order of operations your calculator uses here?

a) $-3^2$a s v d
b) $(-3)^2$a s v d
c) $-2^4$a s v d
d) $(-2)^4$a s v d
e) $-1^3$a s v d
f) $(-1)^3$a s v d
g) $3^2+5^2$a s v d
h) $(3+5)^2$a s v d

## Question 5

Use the $\sqrt\square$, $\sqrt[3]\square$ or $\sqrt[\square]\square$ button on your calculator for the following:

a) $\sqrt9$a s v d
b) $\sqrt{324}$a s v d
c) $\sqrt[3]{216}$a s v d
d) $\sqrt[3]{-3375}$a s v d
e) $\sqrt[4]{6561}$a s v d
f) $\sqrt[5]{16807}$a s v d
g) $\sqrt[6]{1.771561}$a s v d
h) $\sqrt[11]{-177147}$a s v d
i) Can you explain the result you get from $\sqrt{-64}$ compared with $\sqrt[3]{-64}$?a s v d

## Question 6

Use the keys $\frac\square\square$ to calculate the following:

a) $\frac14\times3$a s v d
b) $\frac27\times\frac35$a s v d
c) $\frac14\div\frac13$a s v d
d) $\frac{1+2}{5}$a s v d
e) $\frac{2^3}{8}$a s v d
f) $\left(\frac{2}{8}\right)^3$a s v d
g) $\frac{4+5}{20-8}-\frac{3\times2}{4}$a s v d
h) $\frac{2^2}{15\div3}-\left(\frac{4-3}{2^3}\right)^3$a s v d

## Question 7

Use the keys $\square\frac\square\square$ to calculate the following. Leave your answer as a top heavy/improper fraction.

a) $1\frac25-1$a s v d
b) $2\frac13+2$a s v d
c) $5\frac17+\frac37$a s v d
d) $3\frac12-\frac45$a s v d
e) $3\frac49+1\frac39$a s v d
f) $2\frac16-1\frac56$a s v d
g) $4\frac25-2\frac34$a s v d
h) $2\frac{3+4}{8}-1+8\frac{2}{5-2}$a s v d

## Question 8

Express each of the following answers as a top heavy/improper fraction, a mixed number and a decimal

a) $1+\frac12+2$a s v d
b) $2.1+3.2$a s v d
c) $\frac45+2.4$a s v d
d) $\frac45\times1.34$a s v d
e) $2\frac15\div\frac14$a s v d
f) $1.5\times\frac53+1\frac{9}{12}$a s v d
g) $4.7+1.5\times5\frac15\div\frac12$a s v d
h) $8\frac12\div\frac45-\frac{4+5}{10}-8.45^2$a s v d

## Question 9

Type in the following and use your calculator to express as a fraction. Final answer should be impropert/top heavy where necessary

a) $1.\dot{1}$a s v d
b) $2.\dot{3}$a s v d
c) $4.\dot{5}$a s v d
d) $0.\dot{6}$a s v d
e) $0.8\dot{4}$a s v d
f) $8.2\dot{3}$a s v d
g) $0.\dot{2}\dot{3}$a s v d
h) $4.\dot{3}\dot{6}$a s v d
i) $8.\dot{2}3\dot{4}$a s v d
j) $35.\dot{6}7\dot{6}$a s v d
k) $0.\dot{9}$a s v d

## Question 10

Use the $\%$ button to find the answer to the following. Leave answers as decimals where necessary.

a) $100\times50\%$a s v d
b) $140\times20\%$a s v d
c) $360\times15\%$a s v d
d) $4.5\times40\%$a s v d
e) Find $20\%$ of $540$a s v d
f) Find $17\%$ of $345$a s v d
g) $14\%$ of $83+82\%$ of $47$a s v d
h) $1.4\%$ of $62+55\times3.4\%$a s v d
i) $20\%+30\%$a s v d
j) $75\%-14\%$a s v d

## Question 11

Use the Ran# button to generate a random number between:

a) $0$ and $1$a s v d
b) $0$ and $1000$a s v d
c) $1000$ and $2000$a s v d
d) $500$ and $1500$a s v d
e) $0$ and $100$a s v d

## Question 12

Use the FACT button to find the prime factorisation of the following: (your calculator may not necessarily have this button)

a) $6$a s v d
b) $12$a s v d
c) $15$a s v d
d) $20$a s v d
e) $245$a s v d
f) $60$a s v d
g) $2310$a s v d
h) $126$a s v d
i) $80262$a s v d
j) $136458$a s v d
k) $1$a s v d
l) $0$a s v d
m) $-2$a s v d
n) $1.1$a s v d

## Question 13

Use your calculators memory to work out the following calculations. You should not need to memorise or write down any intermediate answers yourself.

a) Calculate $3.2\times4.3$. Store this answer. Multiply the answer by $14$a s v d

b) Calculate $0.14\div18$. Store this answer. Multiply the answer by $180$a s v d

c) Calculate $\sqrt5$. Store this answer. Divide the answer by $7$. Store this answer. Multiply the new answer by $\sqrt{20}$.a s v d

d) Calculate $\frac34\div1\frac13$. Store this answer. Squuare the answer. Store this answer. Divide the new answer by $8$. Store this answer. Multiply the answer by $4096$.a s v d

e) Calculate $10\div33$. Store this answer under A. Calculate $11\div100$. Store this answer under B. Find A$\times$B.a s v d

f) Calculate $0.55^2+3$. Store this answer under A. Calculate $\sqrt{169}-18$. Store this answer under B. Calculate B$^2$-A.a s v d

g) Calculate $5^2-3\times2\times2$. Store this answer. Calculate the square root of the answer. Store this answer. Add $5$ to the new answer. Store this answer. Divide the new answer by $4$. Round your answer to $2$ decimal places.a s v d

h) Calculate $\frac34-\frac23$. Store this answer under A. Calculate $18^2-22$. Store this answer under B. Calculate $(-3)^4-100$. Store this answer under C. Calculate A$^2$$\times$B$+$C.a s v d

## Question 14

a) $5^3+18$a s v d
b) $5^7-3^7-1^7$a s v d
c) $(-6.85)^2\times400$a s v d
d) $6^2-\frac23\times24$a s v d
e) $\frac{4^2-6}{2^8}$a s v d
f) $18\%$ of $50000$a s v d
g) $3\%$ of $6789$ $-$ $22\%$ of $80$a s v d
h) $2(8.3+6.33)-4(3.1-1.1)^2-0.26$a s v d
i) $\sqrt{27220+10\div2}-66$a s v d
j) $3\frac45+\frac{\sqrt{48}}{\sqrt{243}}-3.2$a s v d
k) $\frac{4}{7}$ of $455$ plus $33.5$a s v d
l) $\frac{9.2\div3.4}{8.6^2}\times62866\div(21-2\times8)$a s v d