Spine Road Maths Olympiad 2021

Question 1

Complete: 13 + 6 ÷ 2 + 2 × 2 =

Question 2:

Which number is missing in the number sequence?

1; 2; 4; 7; ___; 16; 22

Question 3:

Identify the following 3-D object.

Question 4:

Complete:

69 – 32=______-7

Question 5:

Select a number sentence to match the following statement: 

Seven less than a certain number \(m\) is equal to twelve. 

Question 6:

The tape measure indicates millimetres on the bottom scale.

What is the length indicated by the arrow?

Question 7:

Which one of the following statement is correct to both shapes?

Question 8:

Ten cubes are used to build the 3-D figure as shown below.

Which view of the figure is shown below?

Question 9:

Which number is represented by

(4 ×1 000 000) + (30×10 000) + (900) + (7 tens) + (5 units) ?

Question 10:

How many lines of symmetry can be drawn on the shape below?

Question 11:

a, b and c are any three consecutive numbers, for example 2; 3; 4 or 15; 16; 17.

If a + b + c = 150, what is the value of a, the smallest of these numbers?

Question 12:

Nadine subtracted 11 from a number instead of dividing the number by 11.  Her answer was 55. What should the correct answer be?

Question 13:

The rectangle below is divided into four smaller equal rectangles.  What fraction of the large rectangle is shaded?

Question 14:

In a particular card game, animals are given values:

50 cats = 20 frogs

30 frogs = 12 fish

120 fish = 1 dog

How many cats equal 1 dog?

Question 15:

A man walks from A to B.  The distance between the halfway mark and the three quarter mark is 100 m.  What is the total distance of his walk?

Question 16:

Jacob listed the marks for his Mathematics class tests. Jacob’s marks:

20; 16; 14; 13; 12; 10; 11; 14; 15; 19; 14

What is his modal mark?

Question 17:

What is the sum of the first 4 prime numbers?

Question 18:

Calculate the following and write the answer as a mixed number in the simplest form:

begin{equation}
3frac{1}{4} – frac{1}{2} + frac{7}{8}
end{equation}

Question 19:

Refer to the scale below to answer the question:

What is the mass indicated on the above scale in kg?

Question 20:

Calculate 20% of R330,00

Question 21

The day-time temperature in Sutherland was recorded as 9°C. During the night the temperature dropped by 16°C.  What was the temperature that night?

Question 22:

Calculate the value of the expression

begin{equation}
2x + 7 + 8x^2
end{equation}

if

begin{equation}
x=frac{1}{2}
end{equation}

Question 23:

Mrs. Zungu buys a melon for R3,45 and sells it for R5,50.  How much profit does she make by selling 20 melons?

Question 24:

This pie chart shown how 100 marbles were shared among a group of children.

What decimal fraction of marbles does Thato have?

Question 25:

Which fraction is exactly halfway between

begin{equation}
frac{2}{16}
end{equation}

And

begin{equation}
frac{3}{8}
end{equation}

Question 26:

Refer to sketch alongside:

Angle B = 50° and Angle ACD = 110°. The size  of is …

Question 27:

Study the given net and calculate the total surface area.

Question 28:

What is

0,3 × 427?

Question 29:

Calculate:

37,58 × 10=

Question 30:

Arrange the following common fractions in ascending order:

begin{equation}
frac{78}{100} ; frac{9}{10} ; frac{52}{100} ; frac{3}{10}
end{equation}

Question 31:

Gareth divided a certain number by 17. He found an answer of 345 with a remainder 7. What is the number?

Question 32:

Which step explains how to find the value \(a\) in 6\(a\) = 72 ?

Question 33:

A small submarine started its dive at sea level and descended 30 m per minute.  Which integer represents the submarine’s depth after seven minutes?

Question 34:

Which rational number is the greatest?

Question 35:

Mikel walks down 5 flights of stairs.  Each flight has 8 steps.

Which describes Mikel’s descent?

Question 36:

What type of angle is between 90° and 180°?

Question 37:

Use the graph below to answer the question

A shopper spends R1 000 at the store.

How much money did the shopper spend on snacks?.

Question 38:

Express

begin{equation}
3^3
end{equation}

as a number.

Question 39:

Ana wants to grow a certain number of sunflower plants this year. Ana has 71 seeds, which is 50 more than the number needed. What amount of plants does Ana want to plant this year?

Question 40:

Solve the following equation:

200 = 10n

Question 41:

Write

begin{equation}
frac{20}{8}
end{equation}

as a mixed number in simplest form.

Question 42:

Write the decimal -11,04 as a mixed number in the simplest form.

Question 43:

Which decimal is less than 3,19?

Question 44:

A length of rope 4,12 metres long is cut into pieces 2,06 m long.

About how many pieces would there be?

Question 45:

A box contains 10 books, and each book weighs, on average, 2.3 kg.

How much does the entire box of books weigh?

Question 46:

Divide.  Write the answer in simplest form.

begin{equation}
2frac{1}{6}  ÷  frac{1}{13}
end{equation}

Question 47:

A hiking trail through the woods is

begin{equation}
8frac{1}{13}
end{equation}

km long. Suppose a hiker has already travelled

begin{equation}
5frac{1}{2}
end{equation}

Determine how much of the trail is left for the hiker to walk.

Question 48:

Write 16% as a fraction in simplest form.

Question 49:

Write 20% as a decimal.

Question 50:

Name the polygon, and say whether it is a regular polygon.