Elite Mathematics1. Elite Practice · Q1
Show worked solution
- Work out the top and the bottom\[ 5.7^2-\sqrt{30.25}=32.49-5.5=26.99,\qquad 1.8\times0.65=1.17 \]
- Divide\[ \frac{26.99}{1.17}=23.06837607\ldots \]
Final answer
\(23.06837607\)
IGCSE · 4MA1 · Topic
Using a Calculator: practice questions & worked solutions
Recent 4MA1 Higher papers have not examined Using a Calculator, so these are original exam-style Elite practice questions, sorted from easiest to hardest. Try each one first, then open the worked solution.
7questions
17marks in total
0%of papers (0 of 54) include it – practise it with the Elite questions below
4/3/0easy / medium / hard
Questions, easiest first
Level is estimated from marks: 1–2 easy, 3–4 medium, 5+ hard.
2. Elite Practice · Q3
Show worked solution
- Check the calculator is in degrees
Then
\[ \frac{8.4\times\tan35^\circ}{\cos62^\circ}=\frac{5.8817\ldots}{0.46947\ldots}=12.528\ldots \] - Round
\(12.5\) (3 significant figures)
Final answer
\(12.5\)
3. Elite Practice · Q5
Show worked solution
- Substitute (brackets round the negative)\[ p^2-3q=2.6^2-3(-1.8)=6.76+5.4=12.16 \]\[ \sqrt{p+q^2}=\sqrt{2.6+(-1.8)^2}=\sqrt{5.84}=2.4166\ldots \]
- Divide and round\[ \frac{12.16}{2.4166\ldots}=5.03184\ldots\approx5.032 \]
Final answer
\(5.032\)
4. Elite Practice · Q6
Show worked solution
- Evaluate each power\[ 4.8^{-0.5}=\frac{1}{\sqrt{4.8}}=0.45643\ldots,\qquad 1.7^3=4.913 \]
- Add and round\[ 0.45643\ldots+4.913=5.36943\ldots\approx5.369 \]
Final answer
\(5.369\)
5. Elite Practice · Q2
Show worked solution
- (a) Use the calculator\[ 4.3^3-\frac{1}{0.16}=79.507-6.25=73.257 \]
- (b) Round to 3 significant figures
The fourth figure is \(5\), so round up: \(73.3\).
Final answer
(a) \(73.257\) (b) \(73.3\)
6. Elite Practice · Q4
Show worked solution
- Add the top\[ 3.7\times10^5+2.9\times10^4=370\,000+29\,000=399\,000 \]
- Divide\[ \frac{399\,000}{8.1\times10^{-3}}=49\,259\,259.26\ldots \]
- Standard form, 3 significant figures
\(4.93\times10^7\)
Final answer
\(4.93\times10^{7}\)
7. Elite Practice · Q7
Show worked solution
- (a) Round each number to 1 significant figure\[ \frac{20\times0.5}{4}=\frac{10}{4}=2.5 \]
- (b) Calculator value\[ \frac{19.6\times0.48}{4.1}=2.2946\ldots\approx2.29 \]
Final answer
(a) \(2.5\) (b) \(2.29\)
More IGCSE Maths 4MA1 topics
- Number Toolkit 5
- Set Notation and Venn Diagrams 34
- Prime Factors, HCF and LCM 26
- Powers, Roots and Standard Form 35
- Fractions 18
- Percentages 44
- Compound Interest and Depreciation 35
- Fractions, Decimals and Percentages 11
- Rounding, Estimation and Bounds 35
- Surds 13
- Ratio Toolkit 14
- Direct & Inverse Proportion 18
- Algebra Toolkit 8
- Algebraic Roots & Indices 49
- Expanding Brackets 21
- Factorisation 23
- Completing the Square 18
- Algebraic Fractions 28
- Rearranging Formulas 22
- Algebraic Proof 37
- Solving Linear Equations 14
- Solving Quadratics 6
- Solving Inequalities 44
- Simultaneous Equations 38
- Forming and Solving Equations 6
- Sequences 35
- Functions 26
- Linear Graphs y = mx + c 48
- Graphs of Functions 31
- Real-Life Graphs 7
- Transformations of Graphs 22
- Differentiation 29
- Standard and Compound Units 42
- Angles in Polygons and Parallel Lines 22
- Bearings, Scale Drawing and Constructions 13
- Circle Theorems 33
- Area and Perimeter 31
- Circles, Arcs and Sectors 32
- Volume and Surface Area 30
- Congruence, Similarity and Geometrical Proof 11
- Area and Volume of Similar Shapes 23
- Right-Angled Triangles: Pythagoras and Trigonometry 36
- Sine Rule, Cosine Rule and Area of a Triangle 21
- 3D Pythagoras and Trigonometry 19
- Vectors 28
- Transformations 11
- Statistics 64
- Histograms 27
- Cumulative Frequency 27
- Probability Toolkit 42
- Combined and Conditional Probability 35
Dr Eslam Ahmed
Elite Mathematics · Questions classified by topic, solutions checked by Dr Eslam