Answer all questions in order. The sequence starts from early levels and gradually moves upward so the final report can estimate the best current working level.
0 of 64 answered0 correct
Question 1
Cambridge Primary 1
The card shows 8. Which quantity matches it?
Explanation
The number 8 matches exactly 8 objects.
Question 2
Cambridge Primary 1
Which number is between 16 and 18?
Explanation
17 comes between 16 and 18.
Question 3
Cambridge Primary 1
Which numeral is missing? 1, 2, __, 4
Explanation
Counting order is 1, 2, 3, 4. The missing numeral is 3.
Question 4
Cambridge Primary 1
Which line is shorter?
Explanation
Line A is shorter.
Question 5
Cambridge Primary 1
Which addition sentence equals 5?
Explanation
Two plus three equals five.
Question 6
Cambridge Primary 2
Which number is 10 more than 63?
Explanation
Adding 10 to 63 gives 73.
Question 7
Cambridge Primary 2
There are 3 boxes with 6 crayons in each box. How many crayons are there?
Explanation
3 groups of 6 is 18.
Question 8
Cambridge Primary 2
In the number 47, what is the value of the digit 4?
Explanation
The 4 is in the tens place, so its value is 40.
Question 9
Cambridge Primary 2
A toy costs 45p. You pay with 50p. How much change should you get?
Explanation
50p - 45p = 5p.
Question 10
Cambridge Primary 2
What is 9 + 8 + 1?
Explanation
Add 9 + 1 first to make 10, then add 8 to get 18.
Question 11
Cambridge Primary 3
A rectangle has perimeter 34 cm. One side is 10 cm. What is the other side length?
Explanation
A rectangle has two 10 cm sides, making 20 cm. The remaining 14 cm is split between two equal sides, so each is 7 cm.
Question 12
Cambridge Primary 3
A book costs 3 pounds. How much do 6 books cost?
Explanation
6 x 3 pounds = 18 pounds.
Question 13
Cambridge Primary 3
Round 367 to the nearest 100.
Explanation
367 is closer to 400 than 300.
Question 14
Cambridge Primary 3
What is \(\frac{3}{4}\) of 20?
Explanation
One quarter of 20 is 5, so three quarters is 15.
Question 15
Cambridge Primary 3
What is 7 x 8?
Explanation
7 x 8 = 56.
Question 16
Cambridge Primary 4
What is \(\frac{2}{5}\) of 35?
Explanation
One fifth of 35 is 7, so two fifths is 14.
Question 17
Cambridge Primary 4
Which number is prime?
Explanation
29 has no factors except 1 and 29.
Question 18
Cambridge Primary 4
A rectangle has length 12 cm and width 7 cm. What is its area?
Explanation
Area is length x width: 12 x 7 = 84 cm2.
Question 19
Cambridge Primary 4
The perimeter of a square is 36 cm. What is the length of one side?
Explanation
A square has 4 equal sides. 36 divided by 4 is 9 cm.
Question 20
Cambridge Primary 4
What is 125 x 6?
Explanation
100 x 6 = 600, 25 x 6 = 150, so the total is 750.
Question 21
Cambridge Primary 5
Simplify 10/15.
Explanation
Divide 10 and 15 by 5.
Question 22
Cambridge Primary 5
Use the model. Convert 2 1/3 to an improper fraction.
Explanation
2 wholes are 6 thirds, plus 1 third is 7 thirds.
Question 23
Cambridge Primary 5
Round 8.24 to the nearest tenth.
Explanation
The hundredths digit is 4, so keep the tenths digit.
Question 24
Cambridge Primary 5
Which point is 4 along and 2 up?
Explanation
Coordinates are written x then y.
Question 25
Cambridge Primary 5
What is 318 ÷ 7?
Explanation
7 x 45 = 315, with 3 left over.
Question 26
Cambridge Primary 6
Find the highest common factor of 54 and 72.
Explanation
18 divides both 54 and 72, and no larger listed number does.
Question 27
Cambridge Primary 6
A scale drawing uses 1 cm for 4 m. How long is 9 cm in real life?
Explanation
Each centimetre represents 4 m, so \(9\times4=36\).
Question 28
Cambridge Primary 6
Find 12.5% of 160.
Explanation
12.5% is one eighth. \(160\div8=20\).
Question 29
Cambridge Primary 6
Solve x+18=43.
Explanation
Subtract 18 from both sides: x=25.
Question 30
Cambridge Primary 6
The ratio of cats to dogs is 2:5. There are 35 dogs. How many cats are there?
Explanation
5 parts is 35, so 1 part is 7. Cats are 2 parts, so 14.
Question 31
Cambridge Lower Secondary 7
Simplify \(\frac{24}{36}\).
Explanation
Divide numerator and denominator by 12.
Question 32
Cambridge Lower Secondary 7
Find the circumference of a circle with radius 5 cm, using \(\pi=3.14\).
Explanation
Circumference is \(2\pi r=2\times3.14\times5=31.4\).
Question 33
Cambridge Lower Secondary 7
Solve 2x-7<9.
Explanation
Add 7 to get 2x<16, then divide by 2.
Question 34
Cambridge Lower Secondary 7
Increase 120 by 12.5%.
Explanation
12.5% is one eighth. One eighth of 120 is 15, so the result is 135.
Question 35
Cambridge Lower Secondary 7
Find \(\frac{2}{3}\) of 45.
Explanation
One third of 45 is 15, so two thirds is 30.
Question 36
Cambridge Lower Secondary 8
The mean of 8, 12, x and 20 is 15. Find x.
Explanation
The total must be 60. The known values total 40, so x=20.
Question 37
Cambridge Lower Secondary 8
Write \(4.2\times10^4\) as an ordinary number.
Explanation
Move the decimal 4 places to the right.
Question 38
Cambridge Lower Secondary 8
Calculate \(1.2\times10^{-3}\) as a decimal.
Explanation
Move the decimal 3 places left.
Question 39
Cambridge Lower Secondary 8
A speed is 18 m/s. Convert it to km/h.
Explanation
Multiply m/s by 3.6 to get km/h: \(18\times3.6=64.8\).
Question 40
Cambridge Lower Secondary 8
A right triangle has shorter sides 6 cm and 8 cm. Find the hypotenuse.
Explanation
By Pythagoras, 62+82=100, so the hypotenuse is 10.
Question 41
Cambridge Lower Secondary 9
Solve 4x-3>17.
Explanation
Add 3, then divide by 4: x>5.
Question 42
Cambridge Lower Secondary 9
Solve \(\frac{x+4}{3}=2x-1\).
Explanation
Multiply by 3: x+4=6x-3. Then 7=5x, so \(x=\frac{7}{5}\).
Question 43
Cambridge Lower Secondary 9
The scale factor from shape A to B is 4. The volume of A is 10 cm3. What is the volume of B?
Explanation
Volume scale factor is 43=64, so \(10\times64=640\).
Question 44
Cambridge Lower Secondary 9
A value increases from 80 to 98. What is the percentage increase?
Explanation
Increase is 18. \(18/80\times100=22.5\%\).
Question 45
Cambridge Lower Secondary 9
Factorise x2+5x+6.
Explanation
The numbers 2 and 3 multiply to 6 and add to 5.
Question 46
Cambridge IGCSE 10
Evaluate \(64^{\frac{2}{3}}\).
Explanation
\(64^{\frac{1}{3}}=4\), then square it: 42=16.
Question 47
Cambridge IGCSE 10
A shop reduces a jacket from £80 to £68. What percentage decrease is this?
Explanation
The decrease is £12. Percentage decrease is \(\frac{12}{80} \times 100 = 15\%\).
Question 48
Cambridge IGCSE 10
Increase 240 by 12.5%.
Explanation
12.5% is \(\frac{1}{8}\). One eighth of 240 is 30, so the increased value is 240+30=270.
Question 49
Cambridge IGCSE 10
Work out \(\frac{5}{6} - \frac{1}{4}\).
Explanation
Use a common denominator of 12: \(\frac{5}{6}=\frac{10}{12}\) and \(\frac{1}{4}=\frac{3}{12}\). The difference is \(\frac{7}{12}\).
Question 50
Cambridge IGCSE 10
A quantity N is 3.6 × 108. It is divided equally into 4.5 × 103 groups. How many are in each group?
Explanation
\((3.6 \div 4.5) \times 10^{8-3}=0.8 \times 10^5\), which is 8 × 104 in standard form.
Question 51
Cambridge IGCSE 11
Solve \(\frac{x+4}{3}=2x-1\).
Explanation
Multiply by 3: x+4=6x-3. Then 7=5x, so \(x=\frac{7}{5}\).
Question 52
Cambridge IGCSE 11
What is the solution to x2-9x=0?
Explanation
Factorise: x(x-9)=0.
Question 53
Cambridge IGCSE 11
Solve simultaneous equations: 2x+y=11, x-y=1. Find y.
Explanation
From x-y=1, x=y+1. Substitute: 2(y+1)+y=11, so 3y=9.
Question 54
Cambridge IGCSE 11
A sphere is not needed: find the area of a sector with radius 6 and angle 60 degrees.
Explanation
Sector area is \(\frac{60}{360}\pi6^2=6\pi\).
Question 55
Cambridge IGCSE 11
Factorise x2+5x+6.
Explanation
The numbers 2 and 3 multiply to 6 and add to 5.
Question 56
Cambridge AS Level
Find the roots of x2+4x+13=0.
Explanation
Using the formula gives \(x=\frac{-4\pm\sqrt{-36}}2=-2\pm3i\).
Question 57
Cambridge AS Level
Differentiate x3+4x2-5x.
Explanation
Differentiate term by term using the power rule.
Question 58
Cambridge AS Level
Simplify ln(e7).
Explanation ln(e7)=7.
Question 59
Cambridge AS Level
Solve 2^x=32.
Explanation
Since 32=25, x=5.
Question 60
Cambridge AS Level
Find the modulus of vector (3,4).
Explanation
Magnitude is \(\sqrt{3^2+4^2}=5\).
Question 61
Cambridge A Level
Simplify ln(e7).
Explanation ln(e7)=7.
Question 62
Cambridge A Level
Find f(3) if f(x)=2x2-x+1.
Explanation f(3)=2(9)-3+1=16.
Question 63
Cambridge A Level
Simplify e2ln x.
Explanation 2ln x=ln(x2), so eln(x2)=x2.
Question 64
Cambridge A Level
What is the range of y=(x-1)2+4?
Explanation
A square is never negative, so minimum value is 4.
