Podcast
Questions and Answers
What is 70 written as the product of prime factors?
What is 70 written as the product of prime factors?
The highest common factor (HCF) of 84 and 70 is 14.
The highest common factor (HCF) of 84 and 70 is 14.
True
Write 84 as the product of prime factors in index form.
Write 84 as the product of prime factors in index form.
2² × 3 × 7
The least common multiple (LCM) of 84 and 70 is _______________________.
The least common multiple (LCM) of 84 and 70 is _______________________.
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Match the sequence of patterns with the correct formula for the number of circles in the nth term.
Match the sequence of patterns with the correct formula for the number of circles in the nth term.
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What is the perimeter of the shaded shape correct to 1 decimal place?
What is the perimeter of the shaded shape correct to 1 decimal place?
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The product of prime factors of 16 is 2³ × 5.
The product of prime factors of 16 is 2³ × 5.
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What is the highest common factor (HCF) of 84 and 70?
What is the highest common factor (HCF) of 84 and 70?
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The formula for the number of circles in the nth term of the sequence is _______________________.
The formula for the number of circles in the nth term of the sequence is _______________________.
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What is the main focus of organic chemistry?
What is the main focus of organic chemistry?
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Organic compounds always have ionic bonds between atoms.
Organic compounds always have ionic bonds between atoms.
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What determines the chemical properties and reactivity of a molecule?
What determines the chemical properties and reactivity of a molecule?
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Aliphatic compounds are also known as _______________________ hydrocarbons.
Aliphatic compounds are also known as _______________________ hydrocarbons.
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Match the following functional groups with their correct formulas:
Match the following functional groups with their correct formulas:
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What type of isomerism involves different bond connections between atoms?
What type of isomerism involves different bond connections between atoms?
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Organic reactions always involve the forming of ionic bonds.
Organic reactions always involve the forming of ionic bonds.
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What type of reaction involves the replacement of one functional group with another?
What type of reaction involves the replacement of one functional group with another?
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Aromatic compounds are ring-shaped hydrocarbons with _______________________ electrons.
Aromatic compounds are ring-shaped hydrocarbons with _______________________ electrons.
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What is an example of a heterocyclic compound?
What is an example of a heterocyclic compound?
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Study Notes
End of Year 8 Assessment: Mathematics
Assessment Overview
- 55 minutes allowed to complete the assessment
- Maximum mark for the paper is 50
- Instructions: use black ink or black ball-point pen, calculator allowed, draw diagrams in pencil, tracing paper is allowed
Question Analysis
- 18 questions in total, covering various topics in mathematics
- Questions are divided into different sections, each with a specific mark allocation
- Topics covered include equivalent ratios, solving equations, expanding single brackets, parts of a circle, percentage multipliers, and more
Key Concepts
- Equivalent ratios: 4:1 is equivalent to 8:2
- Solving one-step equations: e.g., x + 7 = 9
- Expanding single brackets: e.g., 4(2x + 3) = 8x + 12
- Parts of a circle: radius, chord, circumference, and arc
- Percentage multipliers: e.g., increasing 400 by 20%
Algebraic Expressions
- Writing expressions: e.g., Jack sent n texts, Kim sent n + 20 texts, Luke sent 2n texts
- Solving equations: e.g., 5x = 55, 2y - 3 = 41, 8x - 9 = 6x
Sequences and Patterns
- Finding the nth term of a linear sequence: e.g., Sequence A: 2, 5, 8, 11, ...
- Factorising an expression: e.g., 7x - 7
- Solving equations involving linear sequences: e.g., 2x + 5 = 11
Geometry and Measurement
- Perimeter and area of compound shapes: e.g., Aidan's back garden
- Circumference and area of a circle: e.g., radius 5 cm
- Constructing triangles: e.g., using given angles and side lengths
- Perimeter of a shape involving circles: e.g., a semi-circle with a small semi-circle cut out
Ratio and Proportion
- Equivalent ratios: e.g., 4:1 is equivalent to 8:2
- Percentage multipliers: e.g., increasing 400 by 20%
- Ratio problems: e.g., Emma has 400 balloons, with a quarter of them being white, and twice as many pink balloons as white balloons
Prime Factorisation
- Writing a number as the product of prime factors: e.g., 70 = 2 × 5 × 7
- Finding the highest common factor (HCF) and least common multiple (LCM) of two numbers: e.g., 84 and 70
Organic Chemistry
Definition and Scope
- Study of carbon-containing compounds and their properties, reactions, and synthesis
- Involves compounds with carbon, hydrogen, and possibly oxygen, nitrogen, and sulfur
Characteristics of Organic Compounds
- Covalent bonds between atoms
- Found naturally or synthesized in a laboratory
- Can have complex structures and varying properties
Functional Groups
- Specific groups of atoms determining chemical properties and reactivity
- Examples: hydroxyl (-OH), carboxyl (-COOH), amino (-NH2), aldehyde (-CHO), ketone (-CO-)
Types of Organic Compounds
- Hydrocarbons: only carbon and hydrogen atoms
- Saturated: single bonds (e.g. methane, CH4)
- Unsaturated: double or triple bonds (e.g. ethene, C2H4)
- Aliphatic compounds: open-chain hydrocarbons
- Aromatic compounds: ring-shaped with delocalized electrons (e.g. benzene, C6H6)
- Heterocyclic compounds: ring-shaped with elements other than carbon and hydrogen
Isomerism
- Existence of compounds with same molecular formula but different structures
- Types:
- Structural: different bond connections
- Stereoisomerism: same bond connections, different 3D arrangements
Reaction Mechanisms
- Breaking and forming of covalent bonds
- Types:
- Substitution: replacement of functional groups
- Elimination: removal of functional groups
- Addition: addition of functional groups
- Rearrangement: reorganization of atoms within a molecule
Synthesis and Analysis
- Synthesis: creation of compounds from simpler starting materials
- Analysis: identification and characterization of compounds
- Techniques:
- Chromatography: separation and purification
- Spectroscopy: analysis of molecular structure using electromagnetic radiation (e.g. IR, NMR)
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Description
This assessment is a comprehensive test of Year 8 mathematics skills, covering a range of topics. It includes a variety of question types and requires the use of calculators and diagrams. Students have 55 minutes to complete the paper.
